Merge branch 'main' into k2v-watch-range-2

This commit is contained in:
Alex 2023-01-26 16:46:40 +01:00
commit 590a0a8450
119 changed files with 23631 additions and 3124 deletions

1542
Cargo.lock generated

File diff suppressed because it is too large Load diff

3536
Cargo.nix

File diff suppressed because it is too large Load diff

View file

@ -4,7 +4,7 @@ all:
clear; cargo build
release:
nix-build --arg release true
nix-build --attr pkgs.amd64.release --no-build-output
shell:
nix-shell

View file

@ -1,7 +1,4 @@
{
system ? builtins.currentSystem,
git_version ? null,
}:
{ system ? builtins.currentSystem, git_version ? null, }:
with import ./nix/common.nix;
@ -13,22 +10,21 @@ let
debug = (compile {
inherit system target git_version pkgsSrc cargo2nixOverlay;
release = false;
}).workspace.garage {
compileMode = "build";
};
}).workspace.garage { compileMode = "build"; };
release = (compile {
inherit system target git_version pkgsSrc cargo2nixOverlay;
release = true;
}).workspace.garage {
compileMode = "build";
};
}).workspace.garage { compileMode = "build"; };
});
test = (rustPkgs: pkgs.symlinkJoin {
name ="garage-tests";
paths = builtins.map (key: rustPkgs.workspace.${key} { compileMode = "test"; }) (builtins.attrNames rustPkgs.workspace);
});
test = (rustPkgs:
pkgs.symlinkJoin {
name = "garage-tests";
paths =
builtins.map (key: rustPkgs.workspace.${key} { compileMode = "test"; })
(builtins.attrNames rustPkgs.workspace);
});
in {
pkgs = {
@ -55,8 +51,6 @@ in {
inherit system git_version pkgsSrc cargo2nixOverlay;
target = "x86_64-unknown-linux-musl";
compiler = "clippy";
}).workspace.garage {
compileMode = "build";
};
}).workspace.garage { compileMode = "build"; };
};
}

View file

@ -678,10 +678,12 @@ paths:
properties:
maxSize:
type: integer
format: int64
nullable: true
example: 19029801
maxObjects:
type: integer
format: int64
nullable: true
example: null
@ -1158,9 +1160,11 @@ components:
$ref: '#/components/schemas/BucketKeyInfo'
objects:
type: integer
format: int64
example: 14827
bytes:
type: integer
format: int64
example: 13189855625
unfinishedUploads:
type: integer
@ -1171,10 +1175,12 @@ components:
maxSize:
nullable: true
type: integer
format: int64
example: null
maxObjects:
nullable: true
type: integer
format: int64
example: null

View file

@ -10,11 +10,12 @@ Garage implements the Amazon S3 protocol, which makes it compatible with many ex
In particular, you will find here instructions to connect it with:
- [Browsing tools](@/documentation/connect/cli.md)
- [Applications](@/documentation/connect/apps/index.md)
- [Website hosting](@/documentation/connect/websites.md)
- [Software repositories](@/documentation/connect/repositories.md)
- [Browsing tools](@/documentation/connect/cli.md)
- [FUSE](@/documentation/connect/fs.md)
- [Observability](@/documentation/connect/observability.md)
- [Software repositories](@/documentation/connect/repositories.md)
- [Website hosting](@/documentation/connect/websites.md)
### Generic instructions

View file

@ -13,7 +13,7 @@ In this section, we cover the following web applications:
| [Matrix](#matrix) | ✅ | Tested with `synapse-s3-storage-provider` |
| [Pixelfed](#pixelfed) | ❓ | Not yet tested |
| [Pleroma](#pleroma) | ❓ | Not yet tested |
| [Lemmy](#lemmy) | ❓ | Not yet tested |
| [Lemmy](#lemmy) | ✅ | Supported with pict-rs |
| [Funkwhale](#funkwhale) | ❓ | Not yet tested |
| [Misskey](#misskey) | ❓ | Not yet tested |
| [Prismo](#prismo) | ❓ | Not yet tested |
@ -484,7 +484,68 @@ And add a new line. For example, to run it every 10 minutes:
## Lemmy
Lemmy uses pict-rs that [supports S3 backends](https://git.asonix.dog/asonix/pict-rs/commit/f9f4fc63d670f357c93f24147c2ee3e1278e2d97)
Lemmy uses pict-rs that [supports S3 backends](https://git.asonix.dog/asonix/pict-rs/commit/f9f4fc63d670f357c93f24147c2ee3e1278e2d97).
This feature requires `pict-rs >= 4.0.0`.
### Creating your bucket
This is the usual Garage setup:
```bash
garage key new --name pictrs-key
garage bucket create pictrs-data
garage bucket allow pictrs-data --read --write --key pictrs-key
```
Note the Key ID and Secret Key.
### Migrating your data
If your pict-rs instance holds existing data, you first need to migrate to the S3 bucket.
Stop pict-rs, then run the migration utility from local filesystem to the bucket:
```
pict-rs \
filesystem -p /path/to/existing/files \
object-store \
-e my-garage-instance.mydomain.tld:3900 \
-b pictrs-data \
-r garage \
-a GK... \
-s abcdef0123456789...
```
This is pretty slow, so hold on while migrating.
### Running pict-rs with an S3 backend
Pict-rs supports both a configuration file and environment variables.
Either set the following section in your `pict-rs.toml`:
```
[store]
type = 'object_storage'
endpoint = 'http://my-garage-instance.mydomain.tld:3900'
bucket_name = 'pictrs-data'
region = 'garage'
access_key = 'GK...'
secret_key = 'abcdef0123456789...'
```
... or set these environment variables:
```
PICTRS__STORE__TYPE=object_storage
PICTRS__STORE__ENDPOINT=http:/my-garage-instance.mydomain.tld:3900
PICTRS__STORE__BUCKET_NAME=pictrs-data
PICTRS__STORE__REGION=garage
PICTRS__STORE__ACCESS_KEY=GK...
PICTRS__STORE__SECRET_KEY=abcdef0123456789...
```
## Funkwhale

View file

@ -0,0 +1,57 @@
+++
title = "Observability"
weight = 25
+++
An object store can be used as data storage location for metrics, and logs which
can then be leveraged for systems observability.
## Metrics
### Prometheus
Prometheus itself has no object store capabilities, however two projects exist
which support storing metrics in an object store:
- [Cortex](https://cortexmetrics.io/)
- [Thanos](https://thanos.io/)
## System logs
### Vector
[Vector](https://vector.dev/) natively supports S3 as a
[data sink](https://vector.dev/docs/reference/configuration/sinks/aws_s3/)
(and [source](https://vector.dev/docs/reference/configuration/sources/aws_s3/)).
This can be configured with Garage with the following:
```bash
garage key new --name vector-system-logs
garage bucket create system-logs
garage bucket allow system-logs --read --write --key vector-system-logs
```
The `vector.toml` can then be configured as follows:
```toml
[sources.journald]
type = "journald"
current_boot_only = true
[sinks.out]
encoding.codec = "json"
type = "aws_s3"
inputs = [ "journald" ]
bucket = "system-logs"
key_prefix = "%F/"
compression = "none"
region = "garage"
endpoint = "https://my-garage-instance.mydomain.tld"
auth.access_key_id = ""
auth.secret_access_key = ""
```
This is an example configuration - please refer to the Vector documentation for
all configuration and transformation possibilities. Also note that Garage
performs its own compression, so this should be disabled in Vector.

View file

@ -19,8 +19,12 @@ To run a real-world deployment, make sure the following conditions are met:
- You have at least three machines with sufficient storage space available.
- Each machine has a public IP address which is reachable by other machines.
Running behind a NAT is likely to be possible but hasn't been tested for the latest version (TODO).
- Each machine has a public IP address which is reachable by other machines. It
is highly recommended that you use IPv6 for this end-to-end connectivity. If
IPv6 is not available, then using a mesh VPN such as
[Nebula](https://github.com/slackhq/nebula) or
[Yggdrasil](https://yggdrasil-network.github.io/) are approaches to consider
in addition to building out your own VPN tunneling.
- This guide will assume you are using Docker containers to deploy Garage on each node.
Garage can also be run independently, for instance as a [Systemd service](@/documentation/cookbook/systemd.md).

Binary file not shown.

After

Width:  |  Height:  |  Size: 41 KiB

1
doc/talks/.envrc Normal file
View file

@ -0,0 +1 @@
use_nix

17
doc/talks/2023-01-18-tocatta/.gitignore vendored Normal file
View file

@ -0,0 +1,17 @@
*
!*.txt
!*.md
!assets
!.gitignore
!*.svg
!*.png
!*.jpg
!*.tex
!Makefile
!.gitignore
!assets/*.drawio.pdf
!talk.pdf

View file

@ -0,0 +1,34 @@
ASSETS=assets/consistent_hashing_1.pdf \
assets/consistent_hashing_2.pdf \
assets/consistent_hashing_3.pdf \
assets/consistent_hashing_4.pdf \
assets/garage_tables.pdf \
assets/consensus.pdf_tex \
assets/lattice1.pdf_tex \
assets/lattice2.pdf_tex \
assets/lattice3.pdf_tex \
assets/lattice4.pdf_tex \
assets/lattice5.pdf_tex \
assets/lattice6.pdf_tex \
assets/lattice7.pdf_tex \
assets/lattice8.pdf_tex \
assets/latticeB_1.pdf_tex \
assets/latticeB_2.pdf_tex \
assets/latticeB_3.pdf_tex \
assets/latticeB_4.pdf_tex \
assets/latticeB_5.pdf_tex \
assets/latticeB_6.pdf_tex \
assets/latticeB_7.pdf_tex \
assets/latticeB_8.pdf_tex \
assets/latticeB_9.pdf_tex \
assets/latticeB_10.pdf_tex \
assets/deuxfleurs.pdf
talk.pdf: talk.tex $(ASSETS)
pdflatex talk.tex
assets/%.pdf: assets/%.svg
inkscape -D -z --file=$^ --export-pdf=$@
assets/%.pdf_tex: assets/%.svg
inkscape -D -z --file=$^ --export-pdf=$@ --export-latex

View file

@ -0,0 +1,39 @@
### (fr) Garage, un système de stockage de données géo-distribué léger et robuste
Garage est un système de stockage de données léger, géo-distribué, qui
implémente le protocole de stockage S3 de Amazon. Garage est destiné
principalement à l'auto-hébergement sur du matériel courant d'occasion. À ce
titre, il doit tolérer un grand nombre de pannes: coupures de courant, coupures
de connexion Internet, pannes de machines, ... Il doit également être facile à
déployer et à maintenir, afin de pouvoir être facilement utilisé par des
amateurs ou des petites organisations.
Cette présentation vous proposera un aperçu de Garage et du choix technique
principal qui rend un système comme Garage possible: le refus d'utiliser des
algorithmes de consensus, remplacés avantageusement par des méthodes à
cohérence faible. Notre modèle est fortement inspiré de la base de donnée
Dynamo (DeCandia et al, 2007), et fait usage des types de données CRDT (Shapiro
et al, 2011). Nous exploreront comment ces méthodes s'appliquent à la
construction de l'abstraction "stockage objet" dans un système distribué, et
quelles autres abstractions peuvent ou ne peuvent pas être construites dans ce
modèle.
### (en) Garage, a lightweight and robust geo-distributed data storage system
Garage is a lightweight geo-distributed data store that implements the Amazon
S3 object storage protocol. Garage is meant primarily for self-hosting at home
on second-hand commodity hardware, meaning it has to tolerate a wide variety of
failure scenarios such as power cuts, Internet disconnections and machine
crashes. It also has to be easy to deploy and maintain, so that hobbyists and
small organizations can use it without trouble.
This talk will present Garage and the key technical choice that made Garage
possible: refusing to use consensus algorithms and using instead weak
consistency methods, with a model that is loosely based on that of the Dynamo
database (DeCandia et al, 2007) and that makes heavy use of conflict-free
replicated data types (Shapiro et al, 2011). We will explore how these methods
are suited to building the "object store" abstraction in a distributed system,
and what other abstractions are possible or impossible to build in this model.

Binary file not shown.

After

Width:  |  Height:  |  Size: 32 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 115 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 184 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 26 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 27 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 8.9 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 18 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 4.8 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 263 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 82 KiB

View file

@ -0,0 +1,137 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="800"
height="300"
viewBox="0 0 211.66666 79.374999"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="consensus.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="310.49139"
inkscape:cy="179.1688"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer1" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1">
<g
id="g1218"
transform="translate(-8.9161476,-12.502301)">
<circle
style="fill:#ffffff;stroke:#000000;stroke-width:1;stroke-dasharray:none;stroke-opacity:1"
id="path111"
cx="38.904896"
cy="37.936272"
r="13.474442" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="38.879501"
y="40.908073"
id="text1105"><tspan
sodipodi:role="line"
id="tspan1103"
style="stroke-width:0.264583;fill:#000000"
x="38.879501"
y="40.908073">$\bot$</tspan></text>
</g>
<g
id="g1218-3"
transform="translate(127.41938,-12.502301)">
<circle
style="fill:#ffffff;stroke:#000000;stroke-width:1;stroke-dasharray:none;stroke-opacity:1"
id="path111-5"
cx="38.904896"
cy="37.936272"
r="13.474442" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="38.879501"
y="40.908073"
id="text1105-6"><tspan
sodipodi:role="line"
id="tspan1103-2"
style="stroke-width:0.264583;fill:#000000"
x="38.879501"
y="40.908073">$x$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 44.289635,25.433971 H 145.90576"
id="path1414"
sodipodi:nodetypes="cc" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="92.729836"
y="21.781803"
id="text2092"><tspan
sodipodi:role="line"
id="tspan2090"
style="stroke-width:0.264583;fill:#000000"
x="92.729836"
y="21.781803">$propose(x) / x$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="166.29887"
y="69.89299"
id="text2092-9"><tspan
sodipodi:role="line"
id="tspan2090-1"
style="stroke-width:0.264583;fill:#000000"
x="166.29887"
y="69.89299">$propose(y) / x$</tspan></text>
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="m 155.82329,35.899857 c -8.35129,12.319651 0.54055,24.640898 11.72797,24.072085 8.65403,-0.440005 18.59818,-11.705963 11.8146,-20.570891"
id="path2150"
sodipodi:nodetypes="csc" />
</g>
</svg>

After

Width:  |  Height:  |  Size: 4.7 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 53 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 54 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 56 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 57 KiB

View file

@ -0,0 +1,91 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg
viewBox="0 0 70.424515 70.300102"
version="1.1"
id="svg8"
sodipodi:docname="logo.svg"
inkscape:version="1.1 (c68e22c387, 2021-05-23)"
inkscape:export-filename="/home/quentin/Documents/dev/deuxfleurs/site/src/img/logo.png"
inkscape:export-xdpi="699.30194"
inkscape:export-ydpi="699.30194"
width="70.424515"
height="70.300102"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<defs
id="defs12" />
<sodipodi:namedview
id="namedview10"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
showgrid="false"
inkscape:zoom="12.125"
inkscape:cx="43.092783"
inkscape:cy="48.082474"
inkscape:window-width="3072"
inkscape:window-height="1659"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="svg8" />
<g
id="g79969"
transform="translate(-0.827,34.992103)">
<path
fill="#ffffff"
d="m 15.632,34.661 c -0.799,-0.597 -1.498,-1.484 -2.035,-2.592 l -0.228,-0.47 -0.46,0.249 c -0.975,0.528 -1.913,0.858 -2.744,0.969 L 9.963,29.061 6.327,30.029 C 6.17,29.175 6.202,28.142 6.423,27.007 L 6.526,26.482 5.994,26.416 C 4.752,26.262 3.688,25.891 2.89,25.336 L 4.411,22.419 1.423,20.896 C 1.742,19.952 2.371,19.014 3.257,18.161 L 3.634,17.798 3.255,17.438 C 2.452,16.674 1.847,15.884 1.485,15.127 L 4.995,13.774 2.95,10.615 C 3.69,10.213 4.643,9.929 5.739,9.783 L 6.258,9.715 6.167,9.201 C 5.952,7.99 5.995,6.863 6.291,5.913 l 3.308,0.523 0.524,-3.308 c 0.988,0.013 2.08,0.326 3.164,0.907 L 13.749,4.283 13.975,3.81 C 14.454,2.807 15.019,1.986 15.628,1.406 L 18,4.326 20.372,1.406 c 0.609,0.58 1.175,1.401 1.653,2.404 l 0.226,0.473 0.462,-0.247 C 23.798,3.455 24.891,3.142 25.877,3.13 L 26.4,6.438 29.71,5.913 c 0.296,0.951 0.34,2.078 0.124,3.288 l -0.092,0.515 0.518,0.069 c 1.095,0.145 2.048,0.43 2.788,0.832 l -2.046,3.156 3.511,1.355 c -0.361,0.757 -0.966,1.547 -1.77,2.311 l -0.379,0.36 0.377,0.363 c 0.888,0.854 1.516,1.793 1.835,2.736 l -2.984,1.52 1.521,2.984 c -0.812,0.574 -1.871,0.964 -3.094,1.134 l -0.518,0.072 0.096,0.514 c 0.201,1.089 0.226,2.083 0.073,2.909 l -3.634,-0.97 -0.204,3.757 c -0.83,-0.11 -1.768,-0.44 -2.742,-0.968 l -0.459,-0.249 -0.228,0.47 c -0.539,1.107 -1.237,1.994 -2.036,2.591 L 18,32.293 Z"
id="path2" />
<path
d="M 7.092,10.678 C 6.562,9.189 6.394,7.708 6.66,6.478 l 2.368,0.375 0.987,0.156 0.157,-0.988 0.375,-2.368 C 11.808,3.78 13.16,4.396 14.409,5.359 14.527,5.022 14.653,4.696 14.791,4.392 13.24,3.257 11.568,2.629 10.061,2.629 9.938,2.629 9.816,2.633 9.695,2.642 L 9.184,5.865 5.96,5.354 C 5.36,6.841 5.395,8.769 6.045,10.747 6.38,10.71 6.729,10.686 7.092,10.678 Z M 21.593,5.359 c 1.248,-0.962 2.6,-1.578 3.86,-1.705 l 0.376,2.368 0.156,0.988 0.987,-0.157 2.369,-0.376 c 0.266,1.23 0.098,2.71 -0.432,4.2 0.361,0.009 0.711,0.032 1.046,0.07 C 30.606,8.769 30.64,6.841 30.04,5.353 L 26.815,5.865 26.304,2.641 c -0.12,-0.008 -0.242,-0.012 -0.365,-0.012 -1.507,0 -3.179,0.628 -4.73,1.762 0.14,0.306 0.266,0.631 0.384,0.968 z M 7.368,27 h 0.035 c 0.067,0 0.157,-0.604 0.26,-0.947 -0.098,0.004 -0.197,0.046 -0.294,0.046 -1.496,0 -2.826,-0.303 -3.83,-0.89 L 4.628,23.081 5.082,22.194 4.191,21.742 2.055,20.654 C 2.563,19.503 3.57,18.404 4.873,17.511 4.586,17.292 4.312,17.07 4.063,16.842 2.376,18.059 1.217,19.597 0.828,21.152 l 2.908,1.483 -1.482,2.843 C 3.475,26.501 5.303,27 7.368,27 Z m 27.806,-5.846 c -0.39,-1.555 -1.548,-3.093 -3.234,-4.311 -0.25,0.228 -0.523,0.451 -0.81,0.669 1.304,0.893 2.31,1.992 2.817,3.145 l -2.136,1.088 -0.891,0.453 0.454,0.892 1.089,2.137 c -1.004,0.587 -2.332,0.904 -3.828,0.904 -0.099,0 -0.199,-0.01 -0.299,-0.013 0.103,0.344 0.192,0.683 0.26,1.011 l 0.039,0.002 c 2.066,0 3.892,-0.563 5.112,-1.587 l -1.482,-2.908 z m -12.653,9.182 c -0.447,1.517 -1.181,2.812 -2.119,3.651 L 18.707,32.293 18,31.586 l -0.707,0.707 -1.695,1.694 c -0.938,-0.839 -1.673,-2.136 -2.12,-3.652 -0.296,0.206 -0.593,0.397 -0.886,0.563 0.636,1.98 1.741,3.559 3.1,4.409 L 18,33 l 2.308,2.308 c 1.358,-0.851 2.464,-2.428 3.101,-4.408 -0.295,-0.168 -0.591,-0.359 -0.888,-0.564 z"
fill="#ea596e"
id="path4" />
<path
fill="#ea596e"
d="m 20.118,5.683 c 0.426,1.146 0.748,2.596 0.841,4.284 l 0.2,3.683 3.564,-0.946 c 1.32,-0.351 2.655,-0.536 3.86,-0.536 0.16,0 0.318,0.003 0.474,0.01 l -1.827,2.819 3.139,1.211 c -0.958,0.759 -2.237,1.514 -3.814,2.123 l -3.441,1.328 2.001,3.099 c 0.918,1.42 1.509,2.782 1.838,3.96 L 23.709,25.853 23.527,29.21 C 22.508,28.533 21.395,27.55 20.329,26.237 L 18,23.374 15.672,26.236 c -1.066,1.312 -2.179,2.295 -3.198,2.972 l -0.18,-3.354 -3.248,0.864 c 0.329,-1.178 0.921,-2.54 1.839,-3.961 L 12.889,19.658 9.447,18.33 C 7.87,17.721 6.591,16.967 5.633,16.208 L 8.768,15 6.941,12.177 c 0.155,-0.006 0.313,-0.01 0.473,-0.01 1.206,0 2.541,0.185 3.861,0.536 l 3.564,0.947 0.202,-3.683 c 0.092,-1.688 0.415,-3.138 0.84,-4.284 L 18,8.292 20.118,5.683 M 20.308,0.692 18,3.533 15.692,0.692 C 13.703,2.224 12.271,5.684 12.046,9.804 10.429,9.374 8.854,9.167 7.414,9.167 c -2.11,0 -3.929,0.445 -5.161,1.289 l 1.989,3.073 -3.415,1.316 c 0.842,2.366 3.69,4.797 7.54,6.283 -2.241,3.465 -3.116,7.106 -2.407,9.516 l 3.537,-0.941 0.196,3.654 c 2.512,-0.07 5.703,-2.027 8.307,-5.228 2.603,3.201 5.796,5.158 8.306,5.228 l 0.198,-3.655 3.535,0.943 c 0.71,-2.411 -0.165,-6.05 -2.404,-9.517 3.849,-1.485 6.696,-3.918 7.538,-6.283 l -3.415,-1.318 1.99,-3.07 c -1.233,-0.844 -3.053,-1.29 -5.164,-1.29 -1.438,0 -3.013,0.207 -4.63,0.636 C 23.729,5.684 22.297,2.224 20.308,0.692 Z"
id="path6" />
</g>
<g
id="g79964"
transform="translate(-1.043816,35.993714)">
<path
fill="#ffffff"
d="m 51.92633,-2.0247139 c -0.799,-0.597 -1.498,-1.484 -2.035,-2.592 l -0.228,-0.47 -0.46,0.249 c -0.975,0.528 -1.913,0.858 -2.744,0.969 l -0.202,-3.7560001 -3.636,0.968 c -0.157,-0.854 -0.125,-1.887 0.096,-3.022 l 0.103,-0.525 -0.532,-0.066 c -1.242,-0.154 -2.306,-0.525 -3.104,-1.08 l 1.521,-2.917 -2.988,-1.523 c 0.319,-0.944 0.948,-1.882 1.834,-2.735 l 0.377,-0.363 -0.379,-0.36 c -0.803,-0.764 -1.408,-1.554 -1.77,-2.311 l 3.51,-1.353 -2.045,-3.159 c 0.74,-0.402 1.693,-0.686 2.789,-0.832 l 0.519,-0.068 -0.091,-0.514 c -0.215,-1.211 -0.172,-2.338 0.124,-3.288 l 3.308,0.523 0.524,-3.308 c 0.988,0.013 2.08,0.326 3.164,0.907 l 0.462,0.248 0.226,-0.473 c 0.479,-1.003 1.044,-1.824 1.653,-2.404 l 2.372,2.92 2.372,-2.92 c 0.609,0.58 1.175,1.401 1.653,2.404 l 0.226,0.473 0.462,-0.247 c 1.085,-0.581 2.178,-0.894 3.164,-0.906 l 0.523,3.308 3.31,-0.525 c 0.296,0.951 0.34,2.078 0.124,3.288 l -0.092,0.515 0.518,0.069 c 1.095,0.145 2.048,0.43 2.788,0.832 l -2.046,3.156 3.511,1.355 c -0.361,0.757 -0.966,1.547 -1.77,2.311 l -0.379,0.36 0.377,0.363 c 0.888,0.854 1.516,1.793 1.835,2.736 l -2.984,1.52 1.521,2.984 c -0.812,0.574 -1.871,0.964 -3.094,1.134 l -0.518,0.072 0.096,0.514 c 0.201,1.089 0.226,2.083 0.073,2.909 l -3.634,-0.97 -0.204,3.7570001 c -0.83,-0.11 -1.768,-0.44 -2.742,-0.968 l -0.459,-0.249 -0.228,0.47 c -0.539,1.107 -1.237,1.994 -2.036,2.591 l -2.367,-2.369 z"
id="path2-9" />
<path
d="m 43.38633,-26.007714 c -0.53,-1.489 -0.698,-2.97 -0.432,-4.2 l 2.368,0.375 0.987,0.156 0.157,-0.988 0.375,-2.368 c 1.261,0.127 2.613,0.743 3.862,1.706 0.118,-0.337 0.244,-0.663 0.382,-0.967 -1.551,-1.135 -3.223,-1.763 -4.73,-1.763 -0.123,0 -0.245,0.004 -0.366,0.013 l -0.511,3.223 -3.224,-0.511 c -0.6,1.487 -0.565,3.415 0.085,5.393 0.335,-0.037 0.684,-0.061 1.047,-0.069 z m 14.501,-5.319 c 1.248,-0.962 2.6,-1.578 3.86,-1.705 l 0.376,2.368 0.156,0.988 0.987,-0.157 2.369,-0.376 c 0.266,1.23 0.098,2.71 -0.432,4.2 0.361,0.009 0.711,0.032 1.046,0.07 0.651,-1.978 0.685,-3.906 0.085,-5.394 l -3.225,0.512 -0.511,-3.224 c -0.12,-0.008 -0.242,-0.012 -0.365,-0.012 -1.507,0 -3.179,0.628 -4.73,1.762 0.14,0.306 0.266,0.631 0.384,0.968 z m -14.225,21.641 h 0.035 c 0.067,0 0.157,-0.604 0.26,-0.947 -0.098,0.004 -0.197,0.046 -0.294,0.046 -1.496,0 -2.826,-0.303 -3.83,-0.89 l 1.089,-2.128 0.454,-0.887 -0.891,-0.452 -2.136,-1.088 c 0.508,-1.151 1.515,-2.25 2.818,-3.143 -0.287,-0.219 -0.561,-0.441 -0.81,-0.669 -1.687,1.217 -2.846,2.755 -3.235,4.31 l 2.908,1.483 -1.482,2.843 c 1.221,1.023 3.049,1.522 5.114,1.522 z m 27.806,-5.846 c -0.39,-1.555 -1.548,-3.093 -3.234,-4.311 -0.25,0.228 -0.523,0.451 -0.81,0.669 1.304,0.893 2.31,1.992 2.817,3.145 l -2.136,1.088 -0.891,0.453 0.454,0.892 1.089,2.137 c -1.004,0.587 -2.332,0.904 -3.828,0.904 -0.099,0 -0.199,-0.01 -0.299,-0.013 0.103,0.344 0.192,0.683 0.26,1.011 l 0.039,0.002 c 2.066,0 3.892,-0.563 5.112,-1.587 l -1.482,-2.908 z m -12.653,9.182 c -0.447,1.5170001 -1.181,2.8120001 -2.119,3.6510001 l -1.695,-1.694 -0.707,-0.707 -0.707,0.707 -1.695,1.694 c -0.938,-0.839 -1.673,-2.136 -2.12,-3.6520001 -0.296,0.2060001 -0.593,0.3970001 -0.886,0.5630001 0.636,1.98 1.741,3.559 3.1,4.409 l 2.308,-2.307 2.308,2.308 c 1.358,-0.851 2.464,-2.428 3.101,-4.408 -0.295,-0.168 -0.591,-0.359 -0.888,-0.5640001 z"
fill="#ea596e"
id="path4-3" />
<path
fill="#ea596e"
d="m 56.41233,-31.002714 c 0.426,1.146 0.748,2.596 0.841,4.284 l 0.2,3.683 3.564,-0.946 c 1.32,-0.351 2.655,-0.536 3.86,-0.536 0.16,0 0.318,0.003 0.474,0.01 l -1.827,2.819 3.139,1.211 c -0.958,0.759 -2.237,1.514 -3.814,2.123 l -3.441,1.328 2.001,3.099 c 0.918,1.42 1.509,2.782 1.838,3.96 l -3.244,-0.865 -0.182,3.357 c -1.019,-0.677 -2.132,-1.66 -3.198,-2.973 l -2.329,-2.863 -2.328,2.862 c -1.066,1.312 -2.179,2.295 -3.198,2.972 l -0.18,-3.354 -3.248,0.864 c 0.329,-1.178 0.921,-2.54 1.839,-3.961 l 2.004,-3.099 -3.442,-1.328 c -1.577,-0.609 -2.856,-1.363 -3.814,-2.122 l 3.135,-1.208 -1.827,-2.823 c 0.155,-0.006 0.313,-0.01 0.473,-0.01 1.206,0 2.541,0.185 3.861,0.536 l 3.564,0.947 0.202,-3.683 c 0.092,-1.688 0.415,-3.138 0.84,-4.284 l 2.119,2.609 2.118,-2.609 m 0.19,-4.991 -2.308,2.841 -2.308,-2.841 c -1.989,1.532 -3.421,4.992 -3.646,9.112 -1.617,-0.43 -3.192,-0.637 -4.632,-0.637 -2.11,0 -3.929,0.445 -5.161,1.289 l 1.989,3.073 -3.415,1.316 c 0.842,2.366 3.69,4.797 7.54,6.283 -2.241,3.465 -3.116,7.106 -2.407,9.5160001 l 3.537,-0.9410001 0.196,3.6540001 c 2.512,-0.07 5.703,-2.027 8.307,-5.2280001 2.603,3.2010001 5.796,5.1580001 8.306,5.2280001 l 0.198,-3.6550001 3.535,0.9430001 c 0.71,-2.4110001 -0.165,-6.0500001 -2.404,-9.5170001 3.849,-1.485 6.696,-3.918 7.538,-6.283 l -3.415,-1.318 1.99,-3.07 c -1.233,-0.844 -3.053,-1.29 -5.164,-1.29 -1.438,0 -3.013,0.207 -4.63,0.636 -0.225,-4.119 -1.657,-7.579 -3.646,-9.111 z"
id="path6-6" />
</g>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:42.6667px;line-height:1.25;font-family:sans-serif;fill:#ea596e;fill-opacity:1;stroke:none"
x="2.2188232"
y="31.430677"
id="text46212"><tspan
sodipodi:role="line"
id="tspan46210"
x="2.2188232"
y="31.430677"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:42.6667px;font-family:'TeX Gyre Termes';-inkscape-font-specification:'TeX Gyre Termes'">D</tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:42.6667px;line-height:1.25;font-family:sans-serif;fill:#ea596e;fill-opacity:1;stroke:none"
x="41.347008"
y="67.114784"
id="text46212-1"><tspan
sodipodi:role="line"
id="tspan46210-5"
x="41.347008"
y="67.114784"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:42.6667px;font-family:'TeX Gyre Termes';-inkscape-font-specification:'TeX Gyre Termes'">F</tspan></text>
</svg>

After

Width:  |  Height:  |  Size: 12 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 129 KiB

Binary file not shown.

Binary file not shown.

After

Width:  |  Height:  |  Size: 13 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 88 KiB

View file

@ -0,0 +1,537 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg
width="850"
height="480"
viewBox="0 0 224.89584 127"
version="1.1"
id="svg8"
inkscape:version="1.2 (dc2aedaf03, 2022-05-15)"
sodipodi:docname="garage_tables.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:dc="http://purl.org/dc/elements/1.1/">
<defs
id="defs2">
<marker
style="overflow:visible"
id="marker1262"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow1Mend"
inkscape:isstock="true">
<path
transform="matrix(-0.4,0,0,-0.4,-4,0)"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path1260" />
</marker>
<marker
style="overflow:visible"
id="Arrow1Mend"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow1Mend"
inkscape:isstock="true"
inkscape:collect="always">
<path
transform="matrix(-0.4,0,0,-0.4,-4,0)"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path965" />
</marker>
<marker
style="overflow:visible"
id="Arrow1Lend"
refX="0"
refY="0"
orient="auto"
inkscape:stockid="Arrow1Lend"
inkscape:isstock="true">
<path
transform="matrix(-0.8,0,0,-0.8,-10,0)"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path959" />
</marker>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.98994949"
inkscape:cx="429.31483"
inkscape:cy="289.40871"
inkscape:document-units="mm"
inkscape:current-layer="layer1"
inkscape:document-rotation="0"
showgrid="false"
units="px"
inkscape:window-width="1678"
inkscape:window-height="993"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:showpageshadow="2"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1" />
<metadata
id="metadata5">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title />
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1">
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="39.570904"
y="38.452755"
id="text2025"><tspan
sodipodi:role="line"
id="tspan2023"
x="39.570904"
y="38.452755"
style="font-size:5.64444px;stroke-width:0.264583" /></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:10.5833px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="101.95796"
y="92.835831"
id="text2139"><tspan
sodipodi:role="line"
id="tspan2137"
x="101.95796"
y="92.835831"
style="stroke-width:0.264583"> </tspan></text>
<g
id="g2316"
transform="translate(-11.455511,1.5722486)">
<g
id="g2277">
<rect
style="fill:none;stroke:#000000;stroke-width:0.8;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833"
width="47.419891"
height="95.353409"
x="18.534418"
y="24.42766" />
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-3"
width="47.419891"
height="86.973076"
x="18.534418"
y="32.807987" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="32.250839"
y="29.894743"
id="text852"><tspan
sodipodi:role="line"
id="tspan850"
x="32.250839"
y="29.894743"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Object</tspan></text>
</g>
<g
id="g2066"
transform="translate(-2.1807817,-3.0621439)">
<g
id="g1969"
transform="matrix(0.12763631,0,0,0.12763631,0.7215051,24.717273)"
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-opacity:1">
<path
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.264583;stroke-opacity:1"
d="m 203.71837,154.80038 c -1.11451,3.75057 -2.45288,5.84095 -5.11132,7.98327 -2.2735,1.83211 -4.66721,2.65982 -8.09339,2.79857 -2.59227,0.10498 -2.92868,0.0577 -5.02863,-0.70611 -3.99215,-1.45212 -7.1627,-4.65496 -8.48408,-8.57046 -1.28374,-3.80398 -0.61478,-8.68216 1.64793,-12.01698 0.87317,-1.28689 3.15089,-3.48326 4.18771,-4.03815 l 0.53332,-28.51234 5.78454,-5.09197 6.95158,6.16704 -3.21112,3.49026 3.17616,3.45499 -3.17616,3.40822 2.98973,3.28645 -3.24843,3.3829 4.49203,4.58395 0.0516,5.69106 c 1.06874,0.64848 3.81974,3.24046 4.69548,4.56257 0.452,0.68241 1.06834,2.0197 1.36962,2.97176 0.62932,1.98864 0.88051,5.785 0.47342,7.15497 z m -10.0406,2.32604 c -0.88184,-3.17515 -4.92402,-3.78864 -6.75297,-1.02492 -0.58328,0.8814 -0.6898,1.28852 -0.58362,2.23056 0.26492,2.35041 2.45434,3.95262 4.60856,3.37255 1.19644,-0.32217 2.39435,-1.44872 2.72875,-2.56621 0.30682,-1.02529 0.30686,-0.9045 -7.9e-4,-2.01198 z"
id="path1971"
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
</g>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="28.809687"
y="44.070885"
id="text852-9"><tspan
sodipodi:role="line"
id="tspan850-4"
x="28.809687"
y="44.070885"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">bucket </tspan></text>
</g>
<g
id="g2066-7"
transform="translate(-2.1807817,6.2627616)">
<g
id="g1969-8"
transform="matrix(0.12763631,0,0,0.12763631,0.7215051,24.717273)"
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-opacity:1">
<path
style="fill:#4040ff;fill-opacity:1;stroke:none;stroke-width:0.264583;stroke-opacity:1"
d="m 203.71837,154.80038 c -1.11451,3.75057 -2.45288,5.84095 -5.11132,7.98327 -2.2735,1.83211 -4.66721,2.65982 -8.09339,2.79857 -2.59227,0.10498 -2.92868,0.0577 -5.02863,-0.70611 -3.99215,-1.45212 -7.1627,-4.65496 -8.48408,-8.57046 -1.28374,-3.80398 -0.61478,-8.68216 1.64793,-12.01698 0.87317,-1.28689 3.15089,-3.48326 4.18771,-4.03815 l 0.53332,-28.51234 5.78454,-5.09197 6.95158,6.16704 -3.21112,3.49026 3.17616,3.45499 -3.17616,3.40822 2.98973,3.28645 -3.24843,3.3829 4.49203,4.58395 0.0516,5.69106 c 1.06874,0.64848 3.81974,3.24046 4.69548,4.56257 0.452,0.68241 1.06834,2.0197 1.36962,2.97176 0.62932,1.98864 0.88051,5.785 0.47342,7.15497 z m -10.0406,2.32604 c -0.88184,-3.17515 -4.92402,-3.78864 -6.75297,-1.02492 -0.58328,0.8814 -0.6898,1.28852 -0.58362,2.23056 0.26492,2.35041 2.45434,3.95262 4.60856,3.37255 1.19644,-0.32217 2.39435,-1.44872 2.72875,-2.56621 0.30682,-1.02529 0.30686,-0.9045 -7.9e-4,-2.01198 z"
id="path1971-4"
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
</g>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="28.809687"
y="44.070885"
id="text852-9-5"><tspan
sodipodi:role="line"
id="tspan850-4-0"
x="28.809687"
y="44.070885"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">file path </tspan></text>
<path
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
d="m 174.20027,104.45585 c -0.14225,0.47871 -0.31308,0.74552 -0.65239,1.01896 -0.29018,0.23384 -0.5957,0.33949 -1.03301,0.3572 -0.33087,0.0134 -0.37381,0.007 -0.64184,-0.0901 -0.50954,-0.18534 -0.91422,-0.59414 -1.08287,-1.0939 -0.16385,-0.48552 -0.0785,-1.10816 0.21033,-1.5338 0.11145,-0.16426 0.40217,-0.44459 0.53451,-0.51542 l 0.0681,-3.639207 0.73832,-0.64992 0.88727,0.787138 -0.40986,0.445484 0.4054,0.440982 -0.4054,0.435013 0.3816,0.41947 -0.41461,0.43178 0.57334,0.58508 0.007,0.72639 c 0.13641,0.0828 0.48753,0.4136 0.59931,0.58235 0.0577,0.0871 0.13636,0.25778 0.17481,0.3793 0.0803,0.25382 0.11239,0.73838 0.0604,0.91323 z m -1.28154,0.29689 c -0.11256,-0.40526 -0.62849,-0.48357 -0.86193,-0.13082 -0.0745,0.1125 -0.088,0.16447 -0.0745,0.2847 0.0338,0.3 0.31326,0.5045 0.58822,0.43046 0.15271,-0.0411 0.30561,-0.1849 0.34829,-0.32754 0.0392,-0.13086 0.0392,-0.11544 -1e-4,-0.2568 z"
id="path1971-3"
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="177.8474"
y="104.05132"
id="text852-9-6"><tspan
sodipodi:role="line"
id="tspan850-4-7"
x="177.8474"
y="104.05132"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">= partition key </tspan></text>
<path
style="fill:#4040ff;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
d="m 174.20027,113.78076 c -0.14225,0.47871 -0.31308,0.74552 -0.65239,1.01895 -0.29018,0.23385 -0.5957,0.33949 -1.03301,0.3572 -0.33087,0.0134 -0.37381,0.007 -0.64184,-0.0901 -0.50954,-0.18534 -0.91422,-0.59414 -1.08287,-1.0939 -0.16385,-0.48553 -0.0785,-1.10816 0.21033,-1.53381 0.11145,-0.16425 0.40217,-0.44459 0.53451,-0.51541 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.78714 -0.40986,0.44548 0.4054,0.44098 -0.4054,0.43502 0.3816,0.41947 -0.41461,0.43178 0.57334,0.58508 0.007,0.72638 c 0.13641,0.0828 0.48753,0.4136 0.59931,0.58235 0.0577,0.0871 0.13636,0.25779 0.17481,0.37931 0.0803,0.25382 0.11239,0.73837 0.0604,0.91323 z m -1.28154,0.29689 c -0.11256,-0.40527 -0.62849,-0.48357 -0.86193,-0.13082 -0.0745,0.1125 -0.088,0.16446 -0.0745,0.2847 0.0338,0.3 0.31326,0.5045 0.58822,0.43046 0.15271,-0.0411 0.30561,-0.18491 0.34829,-0.32754 0.0392,-0.13087 0.0392,-0.11545 -1e-4,-0.2568 z"
id="path1971-4-5"
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="177.8474"
y="113.37622"
id="text852-9-5-3"><tspan
sodipodi:role="line"
id="tspan850-4-0-5"
x="177.8474"
y="113.37622"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">= sort key </tspan></text>
</g>
<g
id="g2161"
transform="translate(-62.264403,-59.333115)">
<g
id="g2271"
transform="translate(0,67.042823)">
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-6"
width="39.008453"
height="16.775949"
x="84.896881"
y="90.266838" />
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-3-1"
width="39.008453"
height="8.673645"
x="84.896881"
y="98.369141" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="89.826942"
y="96.212921"
id="text852-0"><tspan
sodipodi:role="line"
id="tspan850-6"
x="89.826942"
y="96.212921"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version 1</tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="89.826942"
y="104.71013"
id="text852-0-3"><tspan
sodipodi:role="line"
id="tspan850-6-2"
x="89.826942"
y="104.71013"
style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#4d4d4d;stroke-width:0.264583">deleted</tspan></text>
</g>
</g>
<g
id="g2263"
transform="translate(0,-22.791204)">
<g
id="g2161-1"
transform="translate(-62.264403,-10.910843)">
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-6-5"
width="39.008453"
height="36.749603"
x="84.896881"
y="90.266838" />
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-3-1-5"
width="39.008453"
height="28.647301"
x="84.896881"
y="98.369141" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="89.826942"
y="96.212921"
id="text852-0-4"><tspan
sodipodi:role="line"
id="tspan850-6-7"
x="89.826942"
y="96.212921"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version 2</tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="89.826942"
y="104.71013"
id="text852-0-3-6"><tspan
sodipodi:role="line"
id="tspan850-6-2-5"
x="89.826942"
y="104.71013"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">id</tspan></text>
</g>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="27.56254"
y="100.34132"
id="text852-0-3-6-6"><tspan
sodipodi:role="line"
id="tspan850-6-2-5-9"
x="27.56254"
y="100.34132"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">size</tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="27.56254"
y="106.90263"
id="text852-0-3-6-6-3"><tspan
sodipodi:role="line"
id="tspan850-6-2-5-9-7"
x="27.56254"
y="106.90263"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">MIME type</tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="27.56254"
y="111.92816"
id="text852-0-3-6-6-3-4"><tspan
sodipodi:role="line"
id="tspan850-6-2-5-9-7-5"
x="27.56254"
y="111.92816"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">...</tspan></text>
</g>
</g>
<g
id="g898"
transform="translate(-6.2484318,29.95006)">
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-7"
width="47.419891"
height="44.007515"
x="95.443573"
y="24.42766" />
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-3-4"
width="47.419891"
height="35.627186"
x="95.443573"
y="32.807987" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="107.46638"
y="29.894743"
id="text852-4"><tspan
sodipodi:role="line"
id="tspan850-3"
x="107.46638"
y="29.894743"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version</tspan></text>
<path
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
d="m 102.90563,41.413279 c -0.14226,0.478709 -0.31308,0.745518 -0.65239,1.018956 -0.29019,0.233843 -0.59571,0.339489 -1.03301,0.357199 -0.33087,0.0134 -0.37381,0.0074 -0.64184,-0.09013 -0.50954,-0.185343 -0.914221,-0.594142 -1.082877,-1.093901 -0.163852,-0.485526 -0.07847,-1.108159 0.210335,-1.533803 0.111448,-0.164254 0.402172,-0.444591 0.534502,-0.515415 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.787138 -0.40985,0.445484 0.40539,0.440982 -0.40539,0.435013 0.3816,0.41947 -0.41462,0.431781 0.57335,0.585078 0.007,0.726386 c 0.13641,0.08277 0.48753,0.413601 0.59931,0.58235 0.0577,0.0871 0.13636,0.257787 0.17481,0.379304 0.0803,0.253823 0.11239,0.738377 0.0604,0.913234 z m -1.28155,0.296888 c -0.11255,-0.405265 -0.62848,-0.483569 -0.86192,-0.130817 -0.0744,0.112498 -0.088,0.164461 -0.0745,0.2847 0.0338,0.299998 0.31326,0.504498 0.58822,0.43046 0.15271,-0.04112 0.3056,-0.184909 0.34828,-0.327542 0.0392,-0.130864 0.0392,-0.115447 -1e-4,-0.256801 z"
id="path1971-0"
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="104.99195"
y="41.008743"
id="text852-9-7"><tspan
sodipodi:role="line"
id="tspan850-4-8"
x="104.99195"
y="41.008743"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">id </tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="104.99195"
y="49.168018"
id="text852-9-7-6"><tspan
sodipodi:role="line"
id="tspan850-4-8-8"
x="104.99195"
y="49.168018"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">h(block 1)</tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="104.99195"
y="56.583336"
id="text852-9-7-6-8"><tspan
sodipodi:role="line"
id="tspan850-4-8-8-4"
x="104.99195"
y="56.583336"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">h(block 2)</tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="104.99195"
y="64.265732"
id="text852-9-7-6-3"><tspan
sodipodi:role="line"
id="tspan850-4-8-8-1"
x="104.99195"
y="64.265732"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">...</tspan></text>
</g>
<g
id="g898-3"
transform="translate(75.777779,38.888663)">
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-7-6"
width="47.419891"
height="29.989157"
x="95.443573"
y="24.42766" />
<rect
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
id="rect833-3-4-7"
width="47.419891"
height="21.608831"
x="95.443573"
y="32.807987" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="102.11134"
y="29.894743"
id="text852-4-5"><tspan
sodipodi:role="line"
id="tspan850-3-3"
x="102.11134"
y="29.894743"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Data block</tspan></text>
<path
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
d="m 102.90563,41.413279 c -0.14226,0.478709 -0.31308,0.745518 -0.65239,1.018956 -0.29019,0.233843 -0.59571,0.339489 -1.03301,0.357199 -0.33087,0.0134 -0.37381,0.0074 -0.64184,-0.09013 -0.50954,-0.185343 -0.914221,-0.594142 -1.082877,-1.093901 -0.163852,-0.485526 -0.07847,-1.108159 0.210335,-1.533803 0.111448,-0.164254 0.402172,-0.444591 0.534502,-0.515415 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.787138 -0.40985,0.445484 0.40539,0.440982 -0.40539,0.435013 0.3816,0.41947 -0.41462,0.431781 0.57335,0.585078 0.007,0.726386 c 0.13641,0.08277 0.48753,0.413601 0.59931,0.58235 0.0577,0.0871 0.13636,0.257787 0.17481,0.379304 0.0803,0.253823 0.11239,0.738377 0.0604,0.913234 z m -1.28155,0.296888 c -0.11255,-0.405265 -0.62848,-0.483569 -0.86192,-0.130817 -0.0744,0.112498 -0.088,0.164461 -0.0745,0.2847 0.0338,0.299998 0.31326,0.504498 0.58822,0.43046 0.15271,-0.04112 0.3056,-0.184909 0.34828,-0.327542 0.0392,-0.130864 0.0392,-0.115447 -1e-4,-0.256801 z"
id="path1971-0-5"
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="104.99195"
y="41.008743"
id="text852-9-7-62"><tspan
sodipodi:role="line"
id="tspan850-4-8-9"
x="104.99195"
y="41.008743"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">hash </tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="104.99195"
y="49.168018"
id="text852-9-7-6-1"><tspan
sodipodi:role="line"
id="tspan850-4-8-8-2"
x="104.99195"
y="49.168018"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">data</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow1Mend)"
d="M 42.105292,69.455903 89.563703,69.317144"
id="path954"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#marker1262)"
d="m 134.32612,77.363197 38.12618,0.260865"
id="path1258"
sodipodi:nodetypes="cc" />
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="8.6727352"
y="16.687063"
id="text852-3"><tspan
sodipodi:role="line"
id="tspan850-67"
x="8.6727352"
y="16.687063"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Objects table </tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="89.190445"
y="16.687063"
id="text852-3-5"><tspan
sodipodi:role="line"
id="tspan850-67-3"
x="89.190445"
y="16.687063"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Versions table </tspan></text>
<text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
x="174.55702"
y="16.687063"
id="text852-3-56"><tspan
sodipodi:role="line"
id="tspan850-67-2"
x="174.55702"
y="16.687063"
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Blocks table</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 30 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 37 KiB

View file

@ -0,0 +1,433 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice1.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="445.81962"
inkscape:cy="222.66987"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
</g>
</svg>

After

Width:  |  Height:  |  Size: 15 KiB

View file

@ -0,0 +1,514 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice2.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="384.39345"
inkscape:cy="227.46879"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="139.48744"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="131.61919"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 18 KiB

View file

@ -0,0 +1,515 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice3.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="324.06479"
inkscape:cy="168.98876"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="139.48744"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 18 KiB

View file

@ -0,0 +1,525 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice4.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="0.73673541"
inkscape:cx="287.07728"
inkscape:cy="294.54265"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 18 KiB

View file

@ -0,0 +1,536 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice5.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="276.89766"
inkscape:cy="254.34273"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 19 KiB

View file

@ -0,0 +1,553 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice6.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="277.85744"
inkscape:cy="254.34273"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-4"
cx="18.004833"
cy="70.942116"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-65"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 19 KiB

View file

@ -0,0 +1,581 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice7.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="276.89766"
inkscape:cy="254.34273"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-4"
cx="18.004833"
cy="70.942116"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-65"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798"
id="text4280-3"><tspan
sodipodi:role="line"
id="tspan4278-7"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-5"
cx="18.004833"
cy="81.007744"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797"
id="text3750-0-6"><tspan
sodipodi:role="line"
id="tspan3748-6-9"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797">$\to \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

View file

@ -0,0 +1,581 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice8.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="399.39712"
inkscape:cy="248.39311"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="132.33408"
cy="68.007973"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-4"
cx="18.004833"
cy="70.942116"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-65"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798"
id="text4280-3"><tspan
sodipodi:role="line"
id="tspan4278-7"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-5"
cx="18.004833"
cy="81.007744"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797"
id="text3750-0-6"><tspan
sodipodi:role="line"
id="tspan3748-6-9"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797">$\to \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

View file

@ -0,0 +1,576 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_1.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="469.81422"
inkscape:cy="257.22209"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="141.05479"
cy="95.316383"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="134.56244"
cy="94.993034"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

View file

@ -0,0 +1,715 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_10.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="664.65036"
inkscape:cy="366.63745"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0"
cx="67.201363"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125"
id="text3750-9"><tspan
sodipodi:role="line"
id="tspan3748-3"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125">$\to \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="text4280-6"><tspan
sodipodi:role="line"
style="fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="tspan2630">return $\{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-7"
cx="67.201363"
cy="133.94179"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073"
id="text3750-3-6"><tspan
sodipodi:role="line"
id="tspan3748-2-0"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073">$\to \{\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0-6"
cx="174.36296"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="179.81555"
y="127.6125"
id="text3750-9-1"><tspan
sodipodi:role="line"
id="tspan3748-3-8"
style="fill:#000000;stroke-width:0.264583"
x="179.81555"
y="127.6125">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403"
id="text3707-5-3-7"><tspan
sodipodi:role="line"
id="tspan3705-4-6-5"
style="fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
x="134.97845"
y="132.58472"
id="text3899"><tspan
sodipodi:role="line"
id="tspan3897"
style="stroke-width:0.264583"
x="134.97845"
y="132.58472">;</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="169.92604"
y="146.3129"
id="text4280-6-7"><tspan
sodipodi:role="line"
style="fill:#000000;stroke-width:0.264583"
x="169.92604"
y="146.3129"
id="tspan2630-9">return $\{b\}$</tspan></text>
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-7-2"
cx="174.36296"
cy="133.94179"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="179.81555"
y="136.59073"
id="text3750-3-6-0"><tspan
sodipodi:role="line"
id="tspan3748-2-0-2"
style="fill:#000000;stroke-width:0.264583"
x="179.81555"
y="136.59073">$\to \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:end;text-anchor:end;fill:#ff0000;stroke-width:0.264583"
x="259.75"
y="135.53111"
id="text9043"><tspan
sodipodi:role="line"
id="tspan9041"
style="fill:#ff0000;stroke-width:0.264583"
x="259.75"
y="135.53111">${\Large\textbf{??!}}$~~~~~</tspan><tspan
sodipodi:role="line"
style="fill:#ff0000;stroke-width:0.264583"
x="259.75"
y="146.11446"
id="tspan9372">$\{a\} \not\sqsubseteq \{b\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 25 KiB

View file

@ -0,0 +1,576 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_2.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="586.70996"
inkscape:cy="321.01077"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="141.05479"
cy="95.316383"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

View file

@ -0,0 +1,576 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_3.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="2.0838024"
inkscape:cx="465.25525"
inkscape:cy="269.21938"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

View file

@ -0,0 +1,587 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_4.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="505.32622"
inkscape:cy="316.72869"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
</g>
</svg>

After

Width:  |  Height:  |  Size: 21 KiB

View file

@ -0,0 +1,604 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_5.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="408.21983"
inkscape:cy="319.65343"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0"
cx="67.201363"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125"
id="text3750-9"><tspan
sodipodi:role="line"
id="tspan3748-3"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125">$\to \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 21 KiB

View file

@ -0,0 +1,632 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_6.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="408.21983"
inkscape:cy="319.65343"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0"
cx="67.201363"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125"
id="text3750-9"><tspan
sodipodi:role="line"
id="tspan3748-3"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125">$\to \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="text4280-6"><tspan
sodipodi:role="line"
style="fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="tspan2630">return $\{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-7"
cx="67.201363"
cy="133.94179"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073"
id="text3750-3-6"><tspan
sodipodi:role="line"
id="tspan3748-2-0"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073">$\to \{\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 22 KiB

View file

@ -0,0 +1,654 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_7.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="553.45515"
inkscape:cy="346.80022"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0"
cx="67.201363"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125"
id="text3750-9"><tspan
sodipodi:role="line"
id="tspan3748-3"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125">$\to \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="text4280-6"><tspan
sodipodi:role="line"
style="fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="tspan2630">return $\{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-7"
cx="67.201363"
cy="133.94179"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073"
id="text3750-3-6"><tspan
sodipodi:role="line"
id="tspan3748-2-0"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403"
id="text3707-5-3-7"><tspan
sodipodi:role="line"
id="tspan3705-4-6-5"
style="fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
x="134.97845"
y="132.58472"
id="text3899"><tspan
sodipodi:role="line"
id="tspan3897"
style="stroke-width:0.264583"
x="134.97845"
y="132.58472">;</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 23 KiB

View file

@ -0,0 +1,671 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_8.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="448.94001"
inkscape:cy="322.36811"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0"
cx="67.201363"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125"
id="text3750-9"><tspan
sodipodi:role="line"
id="tspan3748-3"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125">$\to \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="text4280-6"><tspan
sodipodi:role="line"
style="fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="tspan2630">return $\{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-7"
cx="67.201363"
cy="133.94179"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073"
id="text3750-3-6"><tspan
sodipodi:role="line"
id="tspan3748-2-0"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073">$\to \{\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0-6"
cx="174.36296"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="179.81555"
y="127.6125"
id="text3750-9-1"><tspan
sodipodi:role="line"
id="tspan3748-3-8"
style="fill:#000000;stroke-width:0.264583"
x="179.81555"
y="127.6125">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403"
id="text3707-5-3-7"><tspan
sodipodi:role="line"
id="tspan3705-4-6-5"
style="fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
x="134.97845"
y="132.58472"
id="text3899"><tspan
sodipodi:role="line"
id="tspan3897"
style="stroke-width:0.264583"
x="134.97845"
y="132.58472">;</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 24 KiB

View file

@ -0,0 +1,699 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="600"
viewBox="0 0 264.58333 158.75"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="latticeB_9.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="664.65036"
inkscape:cy="366.63745"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000"
id="rect288"
width="262.58151"
height="156.82782"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="fill:#000000;stroke-width:0.264583"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="fill:#000000;stroke-width:0.264583"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="fill:#000000;stroke-width:0.264583"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="fill:#000000;stroke-width:0.264583"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="176.97627"
cy="68.155472"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-4"
cx="18.004833"
cy="90.979645"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-5"
cx="18.004833"
cy="81.949104"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-2"
cx="18.004833"
cy="72.918564"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381"
id="text3707-5"><tspan
sodipodi:role="line"
id="tspan3705-4"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.279381">$write(\{b\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403"
id="text3707-5-3"><tspan
sodipodi:role="line"
id="tspan3705-4-6"
style="fill:#000000;stroke-width:0.264583"
x="59.340172"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-4"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038"
id="text3750-3-4"><tspan
sodipodi:role="line"
id="tspan3748-2-3"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969"
id="text3750-0-0"><tspan
sodipodi:role="line"
id="tspan3748-6-7"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="118.63729"
cy="67.630196"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0"
cx="67.201363"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125"
id="text3750-9"><tspan
sodipodi:role="line"
id="tspan3748-3"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="127.6125">$\to \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="text4280-6"><tspan
sodipodi:role="line"
style="fill:#000000;stroke-width:0.264583"
x="62.764446"
y="146.3129"
id="tspan2630">return $\{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-7"
cx="67.201363"
cy="133.94179"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073"
id="text3750-3-6"><tspan
sodipodi:role="line"
id="tspan3748-2-0"
style="fill:#000000;stroke-width:0.264583"
x="72.653946"
y="136.59073">$\to \{\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-0-6"
cx="174.36296"
cy="124.91125"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="179.81555"
y="127.6125"
id="text3750-9-1"><tspan
sodipodi:role="line"
id="tspan3748-3-8"
style="fill:#000000;stroke-width:0.264583"
x="179.81555"
y="127.6125">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403"
id="text3707-5-3-7"><tspan
sodipodi:role="line"
id="tspan3705-4-6-5"
style="fill:#000000;stroke-width:0.264583"
x="162.7999"
y="118.94403">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
x="134.97845"
y="132.58472"
id="text3899"><tspan
sodipodi:role="line"
id="tspan3897"
style="stroke-width:0.264583"
x="134.97845"
y="132.58472">;</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="169.92604"
y="146.3129"
id="text4280-6-7"><tspan
sodipodi:role="line"
style="fill:#000000;stroke-width:0.264583"
x="169.92604"
y="146.3129"
id="tspan2630-9">return $\{b\}$</tspan></text>
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0-7-2"
cx="174.36296"
cy="133.94179"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="179.81555"
y="136.59073"
id="text3750-3-6-0"><tspan
sodipodi:role="line"
id="tspan3748-2-0-2"
style="fill:#000000;stroke-width:0.264583"
x="179.81555"
y="136.59073">$\to \{b\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 25 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 97 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 199 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 145 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 13 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 174 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 38 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 14 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 87 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 81 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 124 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 84 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 81 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 81 KiB

File diff suppressed because it is too large Load diff

After

Width:  |  Height:  |  Size: 315 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 286 KiB

Binary file not shown.

View file

@ -0,0 +1,935 @@
%\nonstopmode
\documentclass[aspectratio=169]{beamer}
\usepackage[utf8]{inputenc}
% \usepackage[frenchb]{babel}
\usepackage{amsmath}
\usepackage{mathtools}
\usepackage{breqn}
\usepackage{multirow}
\usetheme{boxes}
\usepackage{graphicx}
\usepackage{import}
\usepackage{adjustbox}
%\useoutertheme[footline=authortitle,subsection=false]{miniframes}
%\useoutertheme[footline=authorinstitute,subsection=false]{miniframes}
\useoutertheme{infolines}
\setbeamertemplate{headline}{}
\beamertemplatenavigationsymbolsempty
\definecolor{TitleOrange}{RGB}{255,137,0}
\setbeamercolor{title}{fg=TitleOrange}
\setbeamercolor{frametitle}{fg=TitleOrange}
\definecolor{ListOrange}{RGB}{255,145,5}
\setbeamertemplate{itemize item}{\color{ListOrange}$\blacktriangleright$}
\definecolor{verygrey}{RGB}{70,70,70}
\setbeamercolor{normal text}{fg=verygrey}
\usepackage{tabu}
\usepackage{multicol}
\usepackage{vwcol}
\usepackage{stmaryrd}
\usepackage{graphicx}
\usepackage[normalem]{ulem}
\AtBeginSection[]{
\begin{frame}
\vfill
\centering
\begin{beamercolorbox}[sep=8pt,center,shadow=true,rounded=true]{title}
\usebeamerfont{title}\insertsectionhead\par%
\end{beamercolorbox}
\vfill
\end{frame}
}
\title{Garage}
\subtitle{a lightweight and robust geo-distributed data storage system}
\author{Alex Auvolat, Deuxfleurs Association}
\date{Inria, 2023-01-18}
\begin{document}
\begin{frame}
\centering
\includegraphics[width=.3\linewidth]{../../sticker/Garage.pdf}
\vspace{1em}
{\large\bf Alex Auvolat, Deuxfleurs Association}
\vspace{1em}
\url{https://garagehq.deuxfleurs.fr/}
Matrix channel: \texttt{\#garage:deuxfleurs.fr}
\end{frame}
\begin{frame}
\frametitle{Who I am}
\begin{columns}[t]
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.4\linewidth, valign=t]{assets/alex.jpg}
\end{column}
\begin{column}{.6\textwidth}
\textbf{Alex Auvolat}\\
PhD; co-founder of Deuxfleurs
\end{column}
\begin{column}{.2\textwidth}
~
\end{column}
\end{columns}
\vspace{2em}
\begin{columns}[t]
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.5\linewidth, valign=t]{assets/deuxfleurs.pdf}
\end{column}
\begin{column}{.6\textwidth}
\textbf{Deuxfleurs}\\
A non-profit self-hosting collective,\\
member of the CHATONS network
\end{column}
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.7\linewidth, valign=t]{assets/logo_chatons.png}
\end{column}
\end{columns}
\end{frame}
\begin{frame}
\frametitle{Our objective at Deuxfleurs}
\begin{center}
\textbf{Promote self-hosting and small-scale hosting\\
as an alternative to large cloud providers}
\end{center}
\vspace{2em}
\visible<2->{
Why is it hard?
}
\visible<3->{
\vspace{2em}
\begin{center}
\textbf{\underline{Resilience}}\\
{\footnotesize (we want good uptime/availability with low supervision)}
\end{center}
}
\end{frame}
\begin{frame}
\frametitle{How to make a \underline{stable} system}
Enterprise-grade systems typically employ:
\vspace{1em}
\begin{itemize}
\item RAID
\item Redundant power grid + UPS
\item Redundant Internet connections
\item Low-latency links
\item ...
\end{itemize}
\vspace{1em}
$\to$ it's costly and only worth it at DC scale
\end{frame}
\begin{frame}
\frametitle{How to make a \underline{resilient} system}
\only<1,4-5>{
Instead, we use:
\vspace{1em}
\begin{itemize}
\item \textcolor<2->{gray}{Commodity hardware (e.g. old desktop PCs)}
\vspace{.5em}
\item<4-> \textcolor<5->{gray}{Commodity Internet (e.g. FTTB, FTTH) and power grid}
\vspace{.5em}
\item<5-> \textcolor<6->{gray}{\textbf{Geographical redundancy} (multi-site replication)}
\end{itemize}
}
\only<2>{
\begin{center}
\includegraphics[width=.8\linewidth]{assets/atuin.jpg}
\end{center}
}
\only<3>{
\begin{center}
\includegraphics[width=.8\linewidth]{assets/neptune.jpg}
\end{center}
}
\only<6>{
\begin{center}
\includegraphics[width=.5\linewidth]{assets/inframap.jpg}
\end{center}
}
\end{frame}
\begin{frame}
\frametitle{How to make this happen}
\begin{center}
\only<1>{\includegraphics[width=.8\linewidth]{assets/slide1.png}}%
\only<2>{\includegraphics[width=.8\linewidth]{assets/slide2.png}}%
\only<3>{\includegraphics[width=.8\linewidth]{assets/slide3.png}}%
\end{center}
\end{frame}
\begin{frame}
\frametitle{Distributed file systems are slow}
File systems are complex, for example:
\vspace{1em}
\begin{itemize}
\item Concurrent modification by several processes
\vspace{1em}
\item Folder hierarchies
\vspace{1em}
\item Other requirements of the POSIX spec (e.g.~locks)
\end{itemize}
\vspace{1em}
Coordination in a distributed system is costly
\vspace{1em}
Costs explode with commodity hardware / Internet connections\\
{\small (we experienced this!)}
\end{frame}
\begin{frame}
\frametitle{A simpler solution: object storage}
Only two operations:
\vspace{1em}
\begin{itemize}
\item Put an object at a key
\vspace{1em}
\item Retrieve an object from its key
\end{itemize}
\vspace{1em}
{\footnotesize (and a few others)}
\vspace{1em}
Sufficient for many applications!
\end{frame}
\begin{frame}
\frametitle{A simpler solution: object storage}
\begin{center}
\includegraphics[height=6em]{../2020-12-02_wide-team/img/Amazon-S3.jpg}
\hspace{3em}
\includegraphics[height=5em]{assets/minio.png}
\hspace{3em}
\includegraphics[height=6em]{../../logo/garage_hires_crop.png}
\end{center}
\vspace{1em}
S3: a de-facto standard, many compatible applications
\vspace{1em}
MinIO is self-hostable but not suited for geo-distributed deployments
\vspace{1em}
\textbf{Garage is a self-hosted drop-in replacement for the Amazon S3 object store}
\end{frame}
\begin{frame}
\frametitle{The data model of object storage}
Object storage is basically a key-value store:
\vspace{1em}
\begin{center}
\begin{tabular}{|l|p{8cm}|}
\hline
\textbf{Key: file path + name} & \textbf{Value: file data + metadata} \\
\hline
\hline
\texttt{index.html} &
\texttt{Content-Type: text/html; charset=utf-8} \newline
\texttt{Content-Length: 24929} \newline
\texttt{<binary blob>} \\
\hline
\texttt{img/logo.svg} &
\texttt{Content-Type: text/svg+xml} \newline
\texttt{Content-Length: 13429} \newline
\texttt{<binary blob>} \\
\hline
\texttt{download/index.html} &
\texttt{Content-Type: text/html; charset=utf-8} \newline
\texttt{Content-Length: 26563} \newline
\texttt{<binary blob>} \\
\hline
\end{tabular}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Garage's architecture}
\begin{center}
\includegraphics[width=.35\linewidth]{assets/garage.drawio.pdf}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Two big problems}
\begin{enumerate}
\item \textbf{How to place data on different nodes?}\\
\vspace{1em}
\underline{Constraints:} heterogeneous hardware\\
\underline{Objective:} $n$ copies of everything, maximize usable capacity, maximize resilience\\
\vspace{1em}
$\to$ the Dynamo model + optimization algorithms
\vspace{2em}
\item<2-> \textbf{How to guarantee consistency?}\\
\vspace{1em}
\underline{Constraints:} slow network (geographical distance), node unavailability/crashes\\
\underline{Objective:} maximize availability, read-after-write guarantee\\
\vspace{1em}
$\to$ CRDTs, monotonicity, read and write quorums
\end{enumerate}
\end{frame}
\section{Problem 1: placing data}
\begin{frame}
\frametitle{Key-value stores, upgraded: the Dynamo model}
\textbf{Two keys:}
\begin{itemize}
\item Partition key: used to divide data into partitions {\small (a.k.a.~shards)}
\item Sort key: used to identify items inside a partition
\end{itemize}
\vspace{1em}
\begin{center}
\begin{tabular}{|l|l|p{3cm}|}
\hline
\textbf{Partition key: bucket} & \textbf{Sort key: filename} & \textbf{Value} \\
\hline
\hline
\texttt{website} & \texttt{index.html} & (file data) \\
\hline
\texttt{website} & \texttt{img/logo.svg} & (file data) \\
\hline
\texttt{website} & \texttt{download/index.html} & (file data) \\
\hline
\hline
\texttt{backup} & \texttt{borg/index.2822} & (file data) \\
\hline
\texttt{backup} & \texttt{borg/data/2/2329} & (file data) \\
\hline
\texttt{backup} & \texttt{borg/data/2/2680} & (file data) \\
\hline
\hline
\texttt{private} & \texttt{qq3a2nbe1qjq0ebbvo6ocsp6co} & (file data) \\
\hline
\end{tabular}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Key-value stores, upgraded: the Dynamo model}
\begin{itemize}
\item Data with different partition keys is stored independently,\\
on a different set of nodes\\
\vspace{.5em}
$\to$ no easy way to list all partition keys\\
$\to$ no cross-shard transactions\\
\vspace{2em}
\item Placing data: hash the partition key, select nodes accordingly\\
\vspace{.5em}
$\to$ distributed hash table (DHT)
\vspace{2em}
\item For a given value of the partition key, items can be listed using their sort keys
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{How to spread files over different cluster nodes?}
\textbf{Consistent hashing (Dynamo):}
\vspace{1em}
\begin{center}
\only<1>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_1.pdf}}%
\only<2>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_2.pdf}}%
\only<3>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_3.pdf}}%
\only<4>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_4.pdf}}%
\end{center}
\end{frame}
\begin{frame}
\frametitle{Constraint: location-awareness}
\begin{center}
\includegraphics[width=\linewidth]{assets/location-aware.png}
\end{center}
\vspace{2em}
Garage replicates data on different zones when possible
\end{frame}
\begin{frame}
\frametitle{Constraint: location-awareness}
\begin{center}
\includegraphics[width=.8\linewidth]{assets/map.png}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Issues with consistent hashing}
\begin{itemize}
\item Consistent hashing doesn't dispatch data based on geographical location of nodes
\vspace{1em}
\item<2-> Geographically aware adaptation, try 1:\\
data quantities not well balanced between nodes
\vspace{1em}
\item<3-> Geographically aware adaptation, try 2:\\
too many reshuffles when adding/removing nodes
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{How to spread files over different cluster nodes?}
\textbf{Garage's method: build an index table}
\vspace{1em}
Realization: we can actually precompute an optimal solution
\vspace{1em}
\visible<2->{
\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
\hline
\hline
Partition 0 & Io (jupiter) & Drosera (atuin) & Courgette (neptune) \\
\hline
Partition 1 & Datura (atuin) & Courgette (neptune) & Io (jupiter) \\
\hline
Partition 2 & Io(jupiter) & Celeri (neptune) & Drosera (atuin) \\
\hline
\hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ \\
\hline
Partition 255 & Concombre (neptune) & Io (jupiter) & Drosera (atuin) \\
\hline
\end{tabular}
\end{center}
}
\vspace{1em}
\visible<3->{
The index table is built centrally using an optimal algorithm,\\
then propagated to all nodes
}
\end{frame}
\begin{frame}
\frametitle{The relationship between \emph{partition} and \emph{partition key}}
\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
\textbf{Partition key} & \textbf{Partition} & \textbf{Sort key} & \textbf{Value} \\
\hline
\hline
\texttt{website} & Partition 12 & \texttt{index.html} & (file data) \\
\hline
\texttt{website} & Partition 12 & \texttt{img/logo.svg} & (file data) \\
\hline
\texttt{website} & Partition 12 &\texttt{download/index.html} & (file data) \\
\hline
\hline
\texttt{backup} & Partition 42 & \texttt{borg/index.2822} & (file data) \\
\hline
\texttt{backup} & Partition 42 & \texttt{borg/data/2/2329} & (file data) \\
\hline
\texttt{backup} & Partition 42 & \texttt{borg/data/2/2680} & (file data) \\
\hline
\hline
\texttt{private} & Partition 42 & \texttt{qq3a2nbe1qjq0ebbvo6ocsp6co} & (file data) \\
\hline
\end{tabular}
\end{center}
\vspace{1em}
\textbf{To read or write an item:} hash partition key
\\ \hspace{5cm} $\to$ determine partition number (first 8 bits)
\\ \hspace{5cm} $\to$ find associated nodes
\end{frame}
\begin{frame}
\frametitle{Garage's internal data structures}
\centering
\includegraphics[width=.75\columnwidth]{assets/garage_tables.pdf}
\end{frame}
\begin{frame}
\frametitle{Storing and retrieving files}
\begin{center}
\only<1>{\includegraphics[width=.45\linewidth]{assets/garage2a.drawio.pdf}}%
\only<2>{\includegraphics[width=.45\linewidth]{assets/garage2b.drawio.pdf}}%
\end{center}
\end{frame}
\section{Problem 2: ensuring consistency}
\begin{frame}
\frametitle{Consensus vs weak consistency}
\hspace{1em}
\begin{minipage}{7cm}
\textbf{Consensus-based systems:}
\vspace{1em}
\begin{itemize}
\item \textbf{Leader-based:} a leader is elected to coordinate
all reads and writes
\vspace{1em}
\item \textbf{Linearizability} of all operations\\
(strongest consistency guarantee)
\vspace{1em}
\item Any sequential specification can be implemented as a \textbf{replicated state machine}
\vspace{1em}
\item \textbf{Costly}, the leader is a bottleneck;
leader elections on failure take time
\end{itemize}
\end{minipage}
\hfill
\begin{minipage}{7cm} \visible<2->{
\textbf{Weakly consistent systems:}
\vspace{1em}
\begin{itemize}
\item \textbf{Nodes are equivalent}, any node
can originate a read or write operation
\vspace{1em}
\item \textbf{Read-after-write consistency} with quorums,
eventual consistency without
\vspace{1em}
\item \textbf{Operations have to commute}, i.e.~we
can only implement CRDTs
\vspace{1em}
\item \textbf{Fast}, no single bottleneck;\\
works the same with offline nodes
\end{itemize}
} \end{minipage}
\hspace{1em}
\end{frame}
\begin{frame}
\frametitle{Consensus vs weak consistency}
\begin{center}
\textbf{From a theoretical point of view:}\\
\end{center}
\vspace{2em}
\hspace{1em}
\begin{minipage}{6.5cm}
\underline{Consensus-based systems:}
\vspace{1em}
Require \textbf{additional assumptions} such as a fault detector or a strong RNG\\
(FLP impossibility theorem)
\end{minipage}
\hfill
\begin{minipage}{6.5cm}
\underline{Weakly consistent systems:}
\vspace{1em}
Can be implemented in \textbf{any\\asynchronous message passing\\distributed system} with node crashes
\end{minipage}
\hspace{1em}
\vspace{3em}
\begin{center}
They represent \textbf{different classes of computational capability}\\
\end{center}
\end{frame}
\begin{frame}
\frametitle{Consensus vs weak consistency}
\begin{center}
\textbf{The same objects cannot be implemented in both models.}
\end{center}
\vspace{2em}
\hspace{1em}
\begin{minipage}{6.5cm}
\underline{Consensus-based systems:}
\vspace{1em}
\textbf{Any sequential specification}\\~
\vspace{1em}
\textbf{Easier to program for}: just write your program as if it were sequential on a single machine
\end{minipage}
\hfill
\begin{minipage}{6.5cm}
\underline{Weakly consistent systems:}
\vspace{1em}
\textbf{Only CRDTs}\\(conflict-free replicated data types)
\vspace{1em}
Part of the complexity is \textbf{reported to the consumer of the API}\\~
\end{minipage}
\hspace{1em}
\end{frame}
\begin{frame}
\frametitle{Understanding the power of consensus}
\textbf{Consensus:} an API with a single operation, $propose(x)$
\begin{enumerate}
\item nodes all call $propose(x)$ with their proposed value;
\item nodes all receive the same value as a return value, which is one of the proposed values
\end{enumerate}
\vspace{1em}
\visible<2->{
\textbf{Equivalent to} a distributed algorithm that gives a total order on all requests
}
\vspace{1em}
\visible<3->{
\textbf{Implemented by} this simple replicated state machine:
\vspace{.5em}
\begin{figure}
\centering
\def\svgwidth{.5\textwidth}
\large
\import{assets/}{consensus.pdf_tex}
\end{figure}
\vspace{1em}
}
\end{frame}
\begin{frame}
\frametitle{Can my object be implemented without consensus?}
\underline{Given the specification of an API:}
\vspace{2em}
\begin{itemize}
\item \textbf{Using this API, we can implement the consensus object} (the $propose$ function)\\
$\to$ the API is equivalent to consensus/total ordering of messages\\
$\to$ the API cannot be implemented in a weakly consistent system
\vspace{2em}
\item<2-> \textbf{This API can be implemented using only weak primitives}\\
(e.g. in the asynchronous message passing model with no further assumption)\\
$\to$ the API is strictly weaker than consensus\\
$\to$ we can implement it in Garage!
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Why avoid consensus?}
Consensus can be implemented reasonably well in practice, so why avoid it?
\vspace{2em}
\begin{itemize}
\item \textbf{Software complexity:} RAFT and PAXOS are complex beasts;\\
harder to prove, harder to reason about
\vspace{1.5em}
\item \textbf{Performance issues:}
\vspace{1em}
\begin{itemize}
\item Theoretical requirements (RNG, failure detector) translate into \textbf{practical costs}
\vspace{1em}
\item The leader is a \textbf{bottleneck} for all requests;\\
even in leaderless approaches, \textbf{all nodes must process all operations in order}
\vspace{1em}
\item Particularly \textbf{sensitive to higher latency} between nodes
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Performance gains in practice}
\begin{center}
\includegraphics[width=.8\linewidth]{assets/endpoint-latency-dc.png}
\end{center}
\end{frame}
\begin{frame}
\frametitle{What can we implement without consensus?}
\begin{itemize}
\item Any \textbf{conflict-free replicated data type} (CRDT)
\vspace{1em}
\item<2-> Non-transactional key-value stores such as S3 are equivalent to a simple CRDT:\\
a map of \textbf{last-writer-wins registers} (each key is its own CRDT)
\vspace{1em}
\item<3-> \textbf{Read-after-write consistency} can be implemented
using quorums on read and write operations
\vspace{1em}
\item<4-> \textbf{Monotonicity of reads} can be implemented with repair-on-read\\
(makes reads more costly, not implemented in Garage)
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{CRDTs and quorums: read-after-write consistency}
\begin{figure}
\centering
\def\svgwidth{.8\textwidth}
\only<1>{\import{assets/}{lattice1.pdf_tex}}%
\only<2>{\import{assets/}{lattice2.pdf_tex}}%
\only<3>{\import{assets/}{lattice3.pdf_tex}}%
\only<4>{\import{assets/}{lattice4.pdf_tex}}%
\only<5>{\import{assets/}{lattice5.pdf_tex}}%
\only<6>{\import{assets/}{lattice6.pdf_tex}}%
\only<7>{\import{assets/}{lattice7.pdf_tex}}%
\only<8>{\import{assets/}{lattice8.pdf_tex}}%
\end{figure}
\end{frame}
\begin{frame}
\frametitle{CRDTs and quorums: read-after-write consistency}
\textbf{Property:} If node $A$ did an operation $write(x)$ and received an OK response,\\
\hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received OK,\\
\hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$.
\vspace{1em}
\hspace{1em}
\begin{minipage}{6.8cm}
\textbf{Algorithm $write(x)$:}
\begin{enumerate}
\item Broadcast $write(x)$ to all nodes
\item Wait for $k > n/2$ nodes to reply OK
\item Return OK
\end{enumerate}
\end{minipage}
\hfill
\begin{minipage}{6.8cm}
\vspace{1em}
\textbf{Algorithm $read()$:}
\begin{enumerate}
\item Broadcast $read()$ to all nodes
\item Wait for $k > n/2$ nodes to reply\\
with values $x_1, \dots, x_k$
\item Return $x_1 \sqcup \dots \sqcup x_k$
\end{enumerate}
\end{minipage}
\hspace{1em}
\vspace{2em}
\textbf{Why does it work?} There is at least one node at the intersection between the two sets of nodes that replied to each request, that ``saw'' $x$ before the $read()$ started ($x_i \sqsupseteq x$).
\end{frame}
\begin{frame}
\frametitle{CRDTs and quorums: monotonic-reads consistency}
\begin{figure}
\centering
\def\svgwidth{.8\textwidth}
\only<1>{\import{assets/}{latticeB_1.pdf_tex}}%
\only<2>{\import{assets/}{latticeB_2.pdf_tex}}%
\only<3>{\import{assets/}{latticeB_3.pdf_tex}}%
\only<4>{\import{assets/}{latticeB_4.pdf_tex}}%
\only<5>{\import{assets/}{latticeB_5.pdf_tex}}%
\only<6>{\import{assets/}{latticeB_6.pdf_tex}}%
\only<7>{\import{assets/}{latticeB_7.pdf_tex}}%
\only<8>{\import{assets/}{latticeB_8.pdf_tex}}%
\only<9>{\import{assets/}{latticeB_9.pdf_tex}}%
\only<10>{\import{assets/}{latticeB_10.pdf_tex}}%
\end{figure}
\end{frame}
\begin{frame}
\frametitle{CRDTs and quorums: monotonic-reads consistency}
\textbf{Property:} If node $A$ did an operation $read()$ and received $x$ as a response,\\
\hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received $x$,\\
\hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$.
\vspace{1em}
\textbf{Algorithm $monotonic\_read()$:} {\small (a.k.a. repair-on-read)}
\begin{enumerate}
\item Broadcast $read()$ to all nodes
\item Wait for $k > n/2$ nodes to reply with values $x_1, \dots, x_k$
\item If $x_i \ne x_j$ for some nodes $i$ and $j$,\\
\hspace{1cm}then call $write(x_1 \sqcup \dots \sqcup x_k)$ and wait for OK from $k' > n/2$ nodes
\item Return $x_1 \sqcup \dots \sqcup x_k$
\end{enumerate}
\vspace{1em}
This makes reads slower in some cases, and is \textbf{not implemented in Garage}.
\end{frame}
\begin{frame}
\frametitle{A hard problem: layout changes}
\begin{itemize}
\item We rely on quorums $k > n/2$ within each partition:\\
$$n=3,~~~~~~~k\ge 2$$
\item<2-> When rebalancing, the set of nodes responsible for a partition can change:\\
$$\{n_A, n_B, n_C\} \to \{n_A, n_D, n_E\}$$
\vspace{.01em}
\item<3-> During the rebalancing, $D$ and $E$ don't yet have the data,\\
~~~~~~~~~~~~~~~~~~~and $B$ and $C$ want to get rid of the data to free up space\\
\vspace{.2em}
$\to$ quorums only within the new set of nodes don't work\\
$\to$ how to coordinate? \textbf{currently, we don't...}
\end{itemize}
\end{frame}
\section{Going further than the S3 API}
\begin{frame}
\frametitle{Using Garage for everything}
\begin{center}
\only<1>{\includegraphics[width=.8\linewidth]{assets/slideB1.png}}%
\only<2>{\includegraphics[width=.8\linewidth]{assets/slideB2.png}}%
\only<3>{\includegraphics[width=.8\linewidth]{assets/slideB3.png}}%
\end{center}
\end{frame}
\begin{frame}
\frametitle{K2V Design}
\begin{itemize}
\item A new, custom, minimal API\\
\vspace{.5em}
\begin{itemize}
\item Single-item operations
\item Operations on ranges and batches of items
\item Polling operations to help implement a PubSub pattern
\end{itemize}
\vspace{1em}
\item<2-> Exposes the partitoning mechanism of Garage\\
K2V = partition key / sort key / value (like Dynamo)
\vspace{1em}
\item<3-> Weakly consistent, CRDT-friendly\\
$\to$ no support for transactions (not ACID)
\vspace{1em}
\item<4-> Cryptography-friendly: values are binary blobs
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Handling concurrent values}
\textbf{How to handle concurrency?} Example:
\vspace{1em}
\begin{enumerate}
\item Client $A$ reads the initial value of a key, $x_0$
\vspace{1em}
\item<2-> Client $B$ also reads the initial value $x_0$ of that key
\vspace{1em}
\item<3-> Client $A$ modifies $x_0$, and writes a new value $x_1$
\vspace{1em}
\item<4-> Client $B$ also modifies $x_0$, and writes a new value $x'_1$,\\
without having a chance to first read $x_1$\\
\vspace{1em}
$\to$ what should the final state be?
\end{enumerate}
\end{frame}
\begin{frame}
\frametitle{Handling concurrent values}
\begin{itemize}
\item If we keep only $x_1$ or $x'_1$, we risk \textbf{loosing application data}
\vspace{1.5em}
\item<2-> Values are opaque binary blobs, \textbf{K2V cannot resolve conflicts} by itself\\
(e.g. by implementing a CRDT)
\vspace{1.5em}
\item<3-> Solution: \textbf{we keep both!}\\
$\to$ the value of the key is now $\{x_1, x'_1\}$\\
$\to$ the client application can decide how to resolve conflicts on the next read
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Keeping track of causality}
How does K2V know that $x_1$ and $x'_1$ are concurrent?
\vspace{1em}
\begin{itemize}
\item $read()$ returns \textbf{a set of values} and an associated \textbf{causality token}\\
\vspace{1.5em}
\item<2-> When calling $write()$, the client sends \textbf{the causality token from its last read}
\vspace{1.5em}
\item<3-> The causality token represents the set of values \textbf{already seen by the client}\\
$\to$ those values are the \textbf{causal past} of the write operation\\
$\to$ K2V can keep concurrent values and overwrite all ones in the causal past
\vspace{1.5em}
\item<4-> Internally, the causality token is \textbf{a vector clock}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Application: an e-mail storage server}
\begin{center}
\only<1>{\includegraphics[width=.9\linewidth]{assets/aerogramme.png}}%
\end{center}
\end{frame}
\begin{frame}
\frametitle{Aerogramme data model}
\begin{center}
\only<1>{\includegraphics[width=.4\linewidth]{assets/aerogramme_datatype.drawio.pdf}}%
\only<2->{\includegraphics[width=.9\linewidth]{assets/aerogramme_keys.drawio.pdf}\vspace{1em}}%
\end{center}
\visible<3->{Aerogramme encrypts all stored values for privacy\\
(Garage server administrators can't read your mail)}
\end{frame}
\begin{frame}
\frametitle{Different deployment scenarios}
\begin{center}
\only<1>{\includegraphics[width=.9\linewidth]{assets/aerogramme_components1.drawio.pdf}}%
\only<2>{\includegraphics[width=.9\linewidth]{assets/aerogramme_components2.drawio.pdf}}%
\end{center}
\end{frame}
\begin{frame}
\frametitle{A new model for building resilient software}
How to build an application using only Garage as a data store:
\vspace{1em}
\begin{enumerate}
\item Design a data model suited to K2V\\
{\footnotesize (see Cassandra docs on porting SQL data models to Cassandra)}
\vspace{1em}
\begin{itemize}
\item Use CRDTs or other eventually consistent data types (see e.g. Bayou)
\vspace{1em}
\item Store opaque binary blobs to provide End-to-End Encryption\\
\end{itemize}
\vspace{1em}
\item<2-> Store big blobs (files) using the S3 API
\vspace{1em}
\item<3-> Let Garage manage sharding, replication, failover, etc.
\end{enumerate}
\end{frame}
\section{Conclusion}
\begin{frame}
\frametitle{Perspectives}
\begin{itemize}
\item Fix the consistency issue when rebalancing
\vspace{1em}
\item Write about Garage's architecture and properties,\\
and about our proposed architecture for (E2EE) apps over K2V+S3
\vspace{1em}
\item Continue developing Garage; finish Aerogramme; build new applications...
\vspace{1em}
\item Anything else?
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Where to find us}
\begin{center}
\includegraphics[width=.25\linewidth]{../../logo/garage_hires.png}\\
\vspace{-1em}
\url{https://garagehq.deuxfleurs.fr/}\\
\url{mailto:garagehq@deuxfleurs.fr}\\
\texttt{\#garage:deuxfleurs.fr} on Matrix
\vspace{1.5em}
\includegraphics[width=.06\linewidth]{assets/rust_logo.png}
\includegraphics[width=.13\linewidth]{assets/AGPLv3_Logo.png}
\end{center}
\end{frame}
\end{document}
%% vim: set ts=4 sw=4 tw=0 noet spelllang=en :

12
doc/talks/shell.nix Normal file
View file

@ -0,0 +1,12 @@
{ pkgs ? import <nixpkgs> { } }:
let
latex = (pkgs.texlive.combine {
inherit (pkgs.texlive)
scheme-basic
beamer amsmath mathtools breqn
environ
multirow graphics import adjustbox tabu vwcol stmaryrd ulem ragged2e
dvisvgm dvipng wrapfig hyperref capt-of;
});
in pkgs.mkShell { nativeBuildInputs = [ pkgs.gnumake latex ]; }

View file

@ -1,7 +1,9 @@
{
description = "Garage, an S3-compatible distributed object store for self-hosted deployments";
description =
"Garage, an S3-compatible distributed object store for self-hosted deployments";
inputs.nixpkgs.url = "github:NixOS/nixpkgs/a3073c49bc0163fea6a121c276f526837672b555";
inputs.nixpkgs.url =
"github:NixOS/nixpkgs/a3073c49bc0163fea6a121c276f526837672b555";
inputs.cargo2nix = {
# As of 2022-10-18: two small patches over unstable branch, one for clippy and one to fix feature detection
url = "github:Alexis211/cargo2nix/a7a61179b66054904ef6a195d8da736eaaa06c36";
@ -24,13 +26,11 @@
release = true;
}).workspace.garage { compileMode = "build"; };
};
devShell = ((compile {
devShell = (compile {
inherit system git_version;
pkgsSrc = nixpkgs;
cargo2nixOverlay = cargo2nix.overlays.default;
release = false;
}).workspaceShell {
packages = [ pkgs.rustfmt cargo2nix.packages.${system}.default ];
});
}).workspaceShell { packages = [ pkgs.rustfmt ]; };
});
}

View file

@ -1,10 +1,8 @@
{
path ? "/../aws-list.txt",
}:
{ path ? "/../aws-list.txt", }:
with import ./common.nix;
let
pkgs = import pkgsSrc {};
let
pkgs = import pkgsSrc { };
lib = pkgs.lib;
/* Converts a key list and a value list to a set
@ -13,139 +11,182 @@ let
listToSet [ "name" "version" ] [ "latex" "3.14" ]
=> { name = "latex"; version = "3.14"; }
*/
listToSet = keys: values:
builtins.listToAttrs
(lib.zipListsWith
(a: b: { name = a; value = b; })
keys
values);
listToSet = keys: values:
builtins.listToAttrs (lib.zipListsWith (a: b: {
name = a;
value = b;
}) keys values);
/* Says if datetime a is more recent than datetime b
Example:
cmpDate { date = "2021-09-10"; time = "22:12:15"; } { date = "2021-02-03"; time = "23:54:12"; }
=> true
Example:
cmpDate { date = "2021-09-10"; time = "22:12:15"; } { date = "2021-02-03"; time = "23:54:12"; }
=> true
*/
cmpDate = a: b:
let da = (builtins.head a.builds).date;
db = (builtins.head b.builds).date;
in
if da == db then (builtins.head a.builds).time > (builtins.head b.builds).time
else da > db;
cmpDate = a: b:
let
da = (builtins.head a.builds).date;
db = (builtins.head b.builds).date;
in if da == db then
(builtins.head a.builds).time > (builtins.head b.builds).time
else
da > db;
/* Pretty platforms */
# Pretty platforms
prettyPlatform = name:
if name == "aarch64-unknown-linux-musl" then "linux/arm64"
else if name == "armv6l-unknown-linux-musleabihf" then "linux/arm"
else if name == "x86_64-unknown-linux-musl" then "linux/amd64"
else if name == "i686-unknown-linux-musl" then "linux/386"
else name;
if name == "aarch64-unknown-linux-musl" then
"linux/arm64"
else if name == "armv6l-unknown-linux-musleabihf" then
"linux/arm"
else if name == "x86_64-unknown-linux-musl" then
"linux/amd64"
else if name == "i686-unknown-linux-musl" then
"linux/386"
else
name;
/* Parsing */
# Parsing
list = builtins.readFile (./. + path);
entries = lib.splitString "\n" list;
elems = builtins.filter
(e: (builtins.length e) == 4)
(map
(x: builtins.filter (e: e != "") (lib.splitString " " x))
entries);
elems = builtins.filter (e: (builtins.length e) == 4)
(map (x: builtins.filter (e: e != "") (lib.splitString " " x)) entries);
keys = ["date" "time" "size" "path"];
keys = [ "date" "time" "size" "path" ];
parsed = map (entry: listToSet keys entry) elems;
subkeys = ["root" "version" "platform" "binary" ];
builds = map (entry: entry // listToSet subkeys (lib.splitString "/" entry.path) // { url = "https://garagehq.deuxfleurs.fr/" + entry.path; }) parsed;
subkeys = [ "root" "version" "platform" "binary" ];
builds = map (entry:
entry // listToSet subkeys (lib.splitString "/" entry.path) // {
url = "https://garagehq.deuxfleurs.fr/" + entry.path;
}) parsed;
/* Aggregation */
builds_per_version = lib.foldl (acc: v: acc // { ${v.version} = if builtins.hasAttr v.version acc then acc.${v.version} ++ [ v ] else [ v ]; }) {} builds;
# Aggregation
builds_per_version = lib.foldl (acc: v:
acc // {
${v.version} = if builtins.hasAttr v.version acc then
acc.${v.version} ++ [ v ]
else
[ v ];
}) { } builds;
versions = builtins.attrNames builds_per_version;
versions_release = builtins.filter (x: builtins.match "v[0-9]+\.[0-9]+\.[0-9]+(\.[0-9]+)?" x != null) versions;
versions_commit = builtins.filter (x: builtins.match "[0-9a-f]{40}" x != null) versions;
versions_extra = lib.subtractLists (versions_release ++ versions_commit) versions;
versions_release = builtins.filter
(x: builtins.match "v[0-9]+.[0-9]+.[0-9]+(.[0-9]+)?" x != null) versions;
versions_commit =
builtins.filter (x: builtins.match "[0-9a-f]{40}" x != null) versions;
versions_extra =
lib.subtractLists (versions_release ++ versions_commit) versions;
sorted_builds = [
{
name = "Release";
hide = false;
type = "tag";
description = "Release builds are the official builds, they are tailored for productions and are the most tested.";
builds = builtins.sort (a: b: a.version > b.version) (map (x: { version = x; builds = builtins.getAttr x builds_per_version; }) versions_release);
description =
"Release builds are the official builds, they are tailored for productions and are the most tested.";
builds = builtins.sort (a: b: a.version > b.version) (map (x: {
version = x;
builds = builtins.getAttr x builds_per_version;
}) versions_release);
}
{
name = "Extra";
hide = true;
type = "tag";
description = "Extra builds are built on demand to test a specific feature or a specific need.";
builds = builtins.sort cmpDate (map (x: { version = x; builds = builtins.getAttr x builds_per_version; }) versions_extra);
description =
"Extra builds are built on demand to test a specific feature or a specific need.";
builds = builtins.sort cmpDate (map (x: {
version = x;
builds = builtins.getAttr x builds_per_version;
}) versions_extra);
}
{
name = "Development";
hide = true;
type = "commit";
description = "Development builds are built periodically. Use them if you want to test a specific feature that is not yet released.";
builds = builtins.sort cmpDate (map (x: { version = x; builds = builtins.getAttr x builds_per_version; }) versions_commit);
description =
"Development builds are built periodically. Use them if you want to test a specific feature that is not yet released.";
builds = builtins.sort cmpDate (map (x: {
version = x;
builds = builtins.getAttr x builds_per_version;
}) versions_commit);
}
];
json = pkgs.writeTextDir "share/_releases.json" (builtins.toJSON sorted_builds);
json =
pkgs.writeTextDir "share/_releases.json" (builtins.toJSON sorted_builds);
html = pkgs.writeTextDir "share/_releases.html" ''
<!doctype html>
<html>
<head>
<meta charset="utf-8" />
<title>Garage releases</title>
<style>
html, body { margin:0; padding: 0 }
body { font-family: 'Helvetica', Sans; }
section { margin: 1rem; }
ul { padding:0; margin: 0.2rem }
li {
border-radius: 0.2rem;
display: inline;
border: 2px #0b5d83 solid;
padding: 0.5rem;
line-height: 3rem;
color: #0b5d83;
}
li:hover { background-color: #0b5d83; color: #fff; }
li a, li a:hover { color: inherit; text-decoration: none }
</style>
</head>
<body>
${ builtins.toString (lib.forEach sorted_builds (r: ''
<section>
<h2>${r.name} builds</h2>
<!doctype html>
<html>
<head>
<meta charset="utf-8" />
<title>Garage releases</title>
<style>
html, body { margin:0; padding: 0 }
body { font-family: 'Helvetica', Sans; }
section { margin: 1rem; }
ul { padding:0; margin: 0.2rem }
li {
border-radius: 0.2rem;
display: inline;
border: 2px #0b5d83 solid;
padding: 0.5rem;
line-height: 3rem;
color: #0b5d83;
}
li:hover { background-color: #0b5d83; color: #fff; }
li a, li a:hover { color: inherit; text-decoration: none }
</style>
</head>
<body>
${
builtins.toString (lib.forEach sorted_builds (r: ''
<section>
<h2>${r.name} builds</h2>
<p>${r.description}</p>
<p>${r.description}</p>
${if r.hide then "<details><summary>Show ${r.name} builds</summary>" else ""}
${ builtins.toString (lib.forEach r.builds (x: ''
<h3> ${x.version} (${(builtins.head x.builds).date}) </h3>
<p>See this build on</p>
<p> Binaries:
<ul>
${ builtins.toString (lib.forEach x.builds (b: ''
<li><a href="/${b.path}">${prettyPlatform b.platform}</a></li>
''))}
</ul></p>
<p> Sources:
<ul>
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/src/${r.type}/${x.version}">gitea</a></li>
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.zip">.zip</a></li>
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.tar.gz">.tar.gz</a></li>
</ul></p>
'')) }
${ if builtins.length r.builds == 0 then "<em>There is no build for this category</em>" else "" }
${if r.hide then "</details>" else ""}
</section>
''))}
</body>
</html>
'';
in
pkgs.symlinkJoin {
name = "releases";
paths = [ json html ];
}
${
if r.hide then
"<details><summary>Show ${r.name} builds</summary>"
else
""
}
${
builtins.toString (lib.forEach r.builds (x: ''
<h3> ${x.version} (${(builtins.head x.builds).date}) </h3>
<p>See this build on</p>
<p> Binaries:
<ul>
${builtins.toString (lib.forEach x.builds (b: ''
<li><a href="/${b.path}">${
prettyPlatform b.platform
}</a></li>
''))}
</ul></p>
<p> Sources:
<ul>
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/src/${r.type}/${x.version}">gitea</a></li>
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.zip">.zip</a></li>
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.tar.gz">.tar.gz</a></li>
</ul></p>
''))
}
${
if builtins.length r.builds == 0 then
"<em>There is no build for this category</em>"
else
""
}
${if r.hide then "</details>" else ""}
</section>
''))
}
</body>
</html>
'';
in pkgs.symlinkJoin {
name = "releases";
paths = [ json html ];
}

View file

@ -1,10 +1,9 @@
rec {
/*
* Fixed dependencies
*/
# * Fixed dependencies
pkgsSrc = fetchTarball {
# As of 2022-10-13
url = "https://github.com/NixOS/nixpkgs/archive/a3073c49bc0163fea6a121c276f526837672b555.zip";
url =
"https://github.com/NixOS/nixpkgs/archive/a3073c49bc0163fea6a121c276f526837672b555.zip";
sha256 = "1bz632psfbpmicyzjb8b4265y50shylccvfm6ry6mgnv5hvz324s";
};
cargo2nixSrc = fetchGit {
@ -14,9 +13,7 @@ rec {
rev = "a7a61179b66054904ef6a195d8da736eaaa06c36";
};
/*
* Shared objects
*/
# * Shared objects
cargo2nix = import cargo2nixSrc;
cargo2nixOverlay = cargo2nix.overlays.default;
}

View file

@ -1,227 +1,240 @@
{
system,
target ? null,
pkgsSrc,
cargo2nixOverlay,
compiler ? "rustc",
release ? false,
git_version ? null,
features ? null,
}:
{ system, target ? null, pkgsSrc, cargo2nixOverlay, compiler ? "rustc"
, release ? false, git_version ? null, features ? null, }:
let
log = v: builtins.trace v v;
pkgs =
if target != null then
import pkgsSrc {
inherit system;
crossSystem = {
config = target;
isStatic = true;
};
overlays = [ cargo2nixOverlay ];
}
else
import pkgsSrc {
inherit system;
overlays = [ cargo2nixOverlay ];
};
/*
Cargo2nix is built for rustOverlay which installs Rust from Mozilla releases.
This is fine for 64-bit platforms, but for 32-bit platforms, we need our own Rust
to avoid incompatibilities with time_t between different versions of musl
(>= 1.2.0 shipped by NixOS, < 1.2.0 with which rustc was built), which lead to compilation breakage.
So we want a Rust release that is bound to our Nix repository to avoid these problems.
See here for more info: https://musl.libc.org/time64.html
Because Cargo2nix does not support the Rust environment shipped by NixOS,
we emulate the structure of the Rust object created by rustOverlay.
In practise, rustOverlay ships rustc+cargo in a single derivation while
NixOS ships them in separate ones. We reunite them with symlinkJoin.
*/
toolchainOptions =
if target == null || target == "x86_64-unknown-linux-musl" || target == "aarch64-unknown-linux-musl" then {
rustVersion = "1.63.0";
extraRustComponents = [ "clippy" ];
} else {
rustToolchain = pkgs.symlinkJoin {
name = "rust-static-toolchain-${target}";
paths = [
pkgs.rustPlatform.rust.cargo
pkgs.rustPlatform.rust.rustc
# clippy not needed, it only runs on amd64
];
pkgs = if target != null then
import pkgsSrc {
inherit system;
crossSystem = {
config = target;
isStatic = true;
};
overlays = [ cargo2nixOverlay ];
}
else
import pkgsSrc {
inherit system;
overlays = [ cargo2nixOverlay ];
};
buildEnv = (drv: {
rustc = drv.setBuildEnv;
clippy = ''
${drv.setBuildEnv or "" }
echo
echo --- BUILDING WITH CLIPPY ---
echo
export NIX_RUST_BUILD_FLAGS="''${NIX_RUST_BUILD_FLAGS} --deny warnings"
export RUSTC="''${CLIPPY_DRIVER}"
'';
}.${compiler});
/*
Cargo2nix provides many overrides by default, you can take inspiration from them:
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/overrides.nix
You can have a complete list of the available options by looking at the overriden object, mkcrate:
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/mkcrate.nix
/* Cargo2nix is built for rustOverlay which installs Rust from Mozilla releases.
This is fine for 64-bit platforms, but for 32-bit platforms, we need our own Rust
to avoid incompatibilities with time_t between different versions of musl
(>= 1.2.0 shipped by NixOS, < 1.2.0 with which rustc was built), which lead to compilation breakage.
So we want a Rust release that is bound to our Nix repository to avoid these problems.
See here for more info: https://musl.libc.org/time64.html
Because Cargo2nix does not support the Rust environment shipped by NixOS,
we emulate the structure of the Rust object created by rustOverlay.
In practise, rustOverlay ships rustc+cargo in a single derivation while
NixOS ships them in separate ones. We reunite them with symlinkJoin.
*/
packageOverrides = pkgs: pkgs.rustBuilder.overrides.all ++ [
/*
[1] We add some logic to compile our crates with clippy, it provides us many additional lints
toolchainOptions = if target == null || target == "x86_64-unknown-linux-musl"
|| target == "aarch64-unknown-linux-musl" then {
rustVersion = "1.63.0";
extraRustComponents = [ "clippy" ];
} else {
rustToolchain = pkgs.symlinkJoin {
name = "rust-static-toolchain-${target}";
paths = [
pkgs.rustPlatform.rust.cargo
pkgs.rustPlatform.rust.rustc
# clippy not needed, it only runs on amd64
];
};
};
[2] We need to alter Nix hardening to make static binaries: PIE,
Position Independent Executables seems to be supported only on amd64. Having
this flag set either 1. make our executables crash or 2. compile as dynamic on some platforms.
Here, we deactivate it. Later (find `codegenOpts`), we reactivate it for supported targets
(only amd64 curently) through the `-static-pie` flag.
PIE is a feature used by ASLR, which helps mitigate security issues.
Learn more about Nix Hardening at: https://github.com/NixOS/nixpkgs/blob/master/pkgs/build-support/cc-wrapper/add-hardening.sh
buildEnv = (drv:
{
rustc = drv.setBuildEnv;
clippy = ''
${drv.setBuildEnv or ""}
echo
echo --- BUILDING WITH CLIPPY ---
echo
[3] We want to inject the git version while keeping the build deterministic.
As we do not want to consider the .git folder as part of the input source,
we ask the user (the CI often) to pass the value to Nix.
export NIX_RUST_BUILD_FLAGS="''${NIX_RUST_BUILD_FLAGS} --deny warnings"
export RUSTC="''${CLIPPY_DRIVER}"
'';
}.${compiler});
[4] We don't want libsodium-sys and zstd-sys to try to use pkgconfig to build against a system library.
However the features to do so get activated for some reason (due to a bug in cargo2nix?),
so disable them manually here.
*/
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage";
overrideAttrs = drv:
(if git_version != null then {
/* [3] */ preConfigure = ''
${drv.preConfigure or ""}
export GIT_VERSION="${git_version}"
'';
} else {})
//
{
/* [1] */ setBuildEnv = (buildEnv drv);
/* [2] */ hardeningDisable = [ "pie" ];
};
})
/* Cargo2nix provides many overrides by default, you can take inspiration from them:
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/overrides.nix
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_rpc";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_db";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_util";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_table";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_block";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_model";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_api";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_web";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "k2v-client";
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "libsodium-sys";
overrideArgs = old: {
features = [ ]; /* [4] */
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "zstd-sys";
overrideArgs = old: {
features = [ ]; /* [4] */
};
})
];
/*
We ship some parts of the code disabled by default by putting them behind a flag.
It speeds up the compilation (when the feature is not required) and released crates have less dependency by default (less attack surface, disk space, etc.).
But we want to ship these additional features when we release Garage.
In the end, we chose to exclude all features from debug builds while putting (all of) them in the release builds.
You can have a complete list of the available options by looking at the overriden object, mkcrate:
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/mkcrate.nix
*/
rootFeatures = if features != null then features else
([
"garage/bundled-libs"
"garage/sled"
"garage/k2v"
] ++ (if release then [
"garage/consul-discovery"
"garage/kubernetes-discovery"
"garage/metrics"
"garage/telemetry-otlp"
"garage/lmdb"
"garage/sqlite"
] else []));
packageOverrides = pkgs:
pkgs.rustBuilder.overrides.all ++ [
/* [1] We add some logic to compile our crates with clippy, it provides us many additional lints
[2] We need to alter Nix hardening to make static binaries: PIE,
Position Independent Executables seems to be supported only on amd64. Having
this flag set either 1. make our executables crash or 2. compile as dynamic on some platforms.
Here, we deactivate it. Later (find `codegenOpts`), we reactivate it for supported targets
(only amd64 curently) through the `-static-pie` flag.
PIE is a feature used by ASLR, which helps mitigate security issues.
Learn more about Nix Hardening at: https://github.com/NixOS/nixpkgs/blob/master/pkgs/build-support/cc-wrapper/add-hardening.sh
[3] We want to inject the git version while keeping the build deterministic.
As we do not want to consider the .git folder as part of the input source,
we ask the user (the CI often) to pass the value to Nix.
[4] We don't want libsodium-sys and zstd-sys to try to use pkgconfig to build against a system library.
However the features to do so get activated for some reason (due to a bug in cargo2nix?),
so disable them manually here.
*/
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage";
overrideAttrs = drv:
(if git_version != null then {
# [3]
preConfigure = ''
${drv.preConfigure or ""}
export GIT_VERSION="${git_version}"
'';
} else
{ }) // {
# [1]
setBuildEnv = (buildEnv drv);
# [2]
hardeningDisable = [ "pie" ];
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_rpc";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_db";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_util";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_table";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_block";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_model";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_api";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "garage_web";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "k2v-client";
overrideAttrs = drv: { # [1]
setBuildEnv = (buildEnv drv);
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "libsodium-sys";
overrideArgs = old: {
features = [ ]; # [4]
};
})
(pkgs.rustBuilder.rustLib.makeOverride {
name = "zstd-sys";
overrideArgs = old: {
features = [ ]; # [4]
};
})
];
/* We ship some parts of the code disabled by default by putting them behind a flag.
It speeds up the compilation (when the feature is not required) and released crates have less dependency by default (less attack surface, disk space, etc.).
But we want to ship these additional features when we release Garage.
In the end, we chose to exclude all features from debug builds while putting (all of) them in the release builds.
*/
rootFeatures = if features != null then
features
else
([ "garage/bundled-libs" "garage/sled" "garage/k2v" ] ++ (if release then [
"garage/consul-discovery"
"garage/kubernetes-discovery"
"garage/metrics"
"garage/telemetry-otlp"
"garage/lmdb"
"garage/sqlite"
] else
[ ]));
packageFun = import ../Cargo.nix;
/*
We compile fully static binaries with musl to simplify deployment on most systems.
When possible, we reactivate PIE hardening (see above).
/* We compile fully static binaries with musl to simplify deployment on most systems.
When possible, we reactivate PIE hardening (see above).
Also, if you set the RUSTFLAGS environment variable, the following parameters will
be ignored.
Also, if you set the RUSTFLAGS environment variable, the following parameters will
be ignored.
For more information on static builds, please refer to Rust's RFC 1721.
https://rust-lang.github.io/rfcs/1721-crt-static.html#specifying-dynamicstatic-c-runtime-linkage
For more information on static builds, please refer to Rust's RFC 1721.
https://rust-lang.github.io/rfcs/1721-crt-static.html#specifying-dynamicstatic-c-runtime-linkage
*/
codegenOpts = {
"armv6l-unknown-linux-musleabihf" = [ "target-feature=+crt-static" "link-arg=-static" ]; /* compile as dynamic with static-pie */
"aarch64-unknown-linux-musl" = [ "target-feature=+crt-static" "link-arg=-static" ]; /* segfault with static-pie */
"i686-unknown-linux-musl" = [ "target-feature=+crt-static" "link-arg=-static" ]; /* segfault with static-pie */
"x86_64-unknown-linux-musl" = [ "target-feature=+crt-static" "link-arg=-static-pie" ];
"armv6l-unknown-linux-musleabihf" = [
"target-feature=+crt-static"
"link-arg=-static"
]; # compile as dynamic with static-pie
"aarch64-unknown-linux-musl" = [
"target-feature=+crt-static"
"link-arg=-static"
]; # segfault with static-pie
"i686-unknown-linux-musl" = [
"target-feature=+crt-static"
"link-arg=-static"
]; # segfault with static-pie
"x86_64-unknown-linux-musl" =
[ "target-feature=+crt-static" "link-arg=-static-pie" ];
};
/*
NixOS and Rust/Cargo triples do not match for ARM, fix it here.
*/
rustTarget = if target == "armv6l-unknown-linux-musleabihf"
then "arm-unknown-linux-musleabihf"
else target;
# NixOS and Rust/Cargo triples do not match for ARM, fix it here.
rustTarget = if target == "armv6l-unknown-linux-musleabihf" then
"arm-unknown-linux-musleabihf"
else
target;
in
pkgs.rustBuilder.makePackageSet ({
inherit release packageFun packageOverrides codegenOpts rootFeatures;
target = rustTarget;
} // toolchainOptions)
in pkgs.rustBuilder.makePackageSet ({
inherit release packageFun packageOverrides codegenOpts rootFeatures;
target = rustTarget;
} // toolchainOptions)

View file

@ -15,7 +15,8 @@ pkgs.buildGoModule rec {
checkPhase = "true";
meta = with pkgs.lib; {
description = "kaniko is a tool to build container images from a Dockerfile, inside a container or Kubernetes cluster.";
description =
"kaniko is a tool to build container images from a Dockerfile, inside a container or Kubernetes cluster.";
homepage = "https://github.com/GoogleContainerTools/kaniko";
license = licenses.asl20;
platforms = platforms.linux;

View file

@ -15,7 +15,8 @@ pkgs.buildGoModule rec {
checkPhase = "true";
meta = with pkgs.lib; {
description = "Command line tool to create and query container image manifest list/indexes";
description =
"Command line tool to create and query container image manifest list/indexes";
homepage = "https://github.com/estesp/manifest-tool";
license = licenses.asl20;
platforms = platforms.linux;

View file

@ -1,6 +1,4 @@
{
system ? builtins.currentSystem,
}:
{ system ? builtins.currentSystem, }:
with import ./common.nix;
@ -11,27 +9,23 @@ let
#"aarch64-unknown-linux-musl"
"armv6l-unknown-linux-musleabihf"
];
pkgsList = builtins.map (target: import pkgsSrc {
inherit system;
crossSystem = {
config = target;
isStatic = true;
};
overlays = [ cargo2nixOverlay ];
}) platforms;
pkgsHost = import pkgsSrc {};
pkgsList = builtins.map (target:
import pkgsSrc {
inherit system;
crossSystem = {
config = target;
isStatic = true;
};
overlays = [ cargo2nixOverlay ];
}) platforms;
pkgsHost = import pkgsSrc { };
lib = pkgsHost.lib;
kaniko = (import ./kaniko.nix) pkgsHost;
winscp = (import ./winscp.nix) pkgsHost;
manifestTool = (import ./manifest-tool.nix) pkgsHost;
in
lib.flatten (builtins.map (pkgs: [
pkgs.rustPlatform.rust.rustc
pkgs.rustPlatform.rust.cargo
pkgs.buildPackages.stdenv.cc
]) pkgsList) ++ [
kaniko
winscp
manifestTool
]
in lib.flatten (builtins.map (pkgs: [
pkgs.rustPlatform.rust.rustc
pkgs.rustPlatform.rust.cargo
pkgs.buildPackages.stdenv.cc
]) pkgsList) ++ [ kaniko winscp manifestTool ]

View file

@ -11,12 +11,12 @@ pkgs.stdenv.mkDerivation rec {
};
buildPhase = ''
cat > winscp <<EOF
#!${pkgs.bash}/bin/bash
cat > winscp <<EOF
#!${pkgs.bash}/bin/bash
WINEDEBUG=-all
${pkgs.winePackages.minimal}/bin/wine $out/opt/WinSCP.com
EOF
WINEDEBUG=-all
${pkgs.winePackages.minimal}/bin/wine $out/opt/WinSCP.com
EOF
'';
installPhase = ''

303
shell.nix
View file

@ -1,6 +1,4 @@
{
system ? builtins.currentSystem,
}:
{ system ? builtins.currentSystem, }:
with import ./nix/common.nix;
@ -13,161 +11,152 @@ let
manifest-tool = (import ./nix/manifest-tool.nix) pkgs;
winscp = (import ./nix/winscp.nix) pkgs;
in
{
/* --- Rust Shell ---
* Use it to compile Garage
*/
rust = pkgs.mkShell {
nativeBuildInputs = [
#pkgs.rustPlatform.rust.rustc
pkgs.rustPlatform.rust.cargo
#pkgs.clippy
pkgs.rustfmt
#pkgs.perl
#pkgs.protobuf
#pkgs.pkg-config
#pkgs.openssl
pkgs.file
#cargo2nix.packages.x86_64-linux.cargo2nix
];
};
in {
# --- Rust Shell ---
# Use it to compile Garage
rust = pkgs.mkShell {
nativeBuildInputs = [
#pkgs.rustPlatform.rust.rustc
pkgs.rustPlatform.rust.cargo
#pkgs.clippy
pkgs.rustfmt
#pkgs.perl
#pkgs.protobuf
#pkgs.pkg-config
#pkgs.openssl
pkgs.file
#cargo2nix.packages.x86_64-linux.cargo2nix
];
};
/* --- Integration shell ---
* Use it to test Garage with common S3 clients
*/
integration = pkgs.mkShell {
nativeBuildInputs = [
winscp
pkgs.s3cmd
pkgs.awscli2
pkgs.minio-client
pkgs.rclone
pkgs.socat
pkgs.psmisc
pkgs.which
pkgs.openssl
pkgs.curl
pkgs.jq
];
};
# --- Integration shell ---
# Use it to test Garage with common S3 clients
integration = pkgs.mkShell {
nativeBuildInputs = [
winscp
pkgs.s3cmd
pkgs.awscli2
pkgs.minio-client
pkgs.rclone
pkgs.socat
pkgs.psmisc
pkgs.which
pkgs.openssl
pkgs.curl
pkgs.jq
];
};
/* --- Release shell ---
* A shell built to make releasing easier
*/
release = pkgs.mkShell {
shellHook = ''
function refresh_toolchain {
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
nix copy \
--to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/tmp/nix-signing-key.sec' \
$(nix-store -qR \
$(nix-build --no-build-output --no-out-link nix/toolchain.nix))
rm /tmp/nix-signing-key.sec
# --- Release shell ---
# A shell built to make releasing easier
release = pkgs.mkShell {
shellHook = ''
function refresh_toolchain {
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
nix copy \
--to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/tmp/nix-signing-key.sec' \
$(nix-store -qR \
$(nix-build --no-build-output --no-out-link nix/toolchain.nix))
rm /tmp/nix-signing-key.sec
}
function refresh_cache {
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
for attr in clippy.amd64 test.amd64 pkgs.{amd64,i386,arm,arm64}.{debug,release}; do
echo "Updating cache for ''${attr}"
derivation=$(nix-instantiate --attr ''${attr})
nix copy -j8 \
--to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/tmp/nix-signing-key.sec' \
$(nix-store -qR ''${derivation%\!bin})
done
rm /tmp/nix-signing-key.sec
}
function refresh_flake_cache {
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
for attr in packages.x86_64-linux.default devShell.x86_64-linux; do
echo "Updating cache for ''${attr}"
derivation=$(nix path-info --derivation ".#''${attr}")
nix copy -j8 \
--to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/tmp/nix-signing-key.sec' \
$(nix-store -qR ''${derivation})
done
rm /tmp/nix-signing-key.sec
}
function to_s3 {
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 cp \
./result-bin/bin/garage \
s3://garagehq.deuxfleurs.fr/_releases/''${DRONE_TAG:-$DRONE_COMMIT}/''${TARGET}/garage
}
function to_docker {
executor \
--force \
--customPlatform="''${DOCKER_PLATFORM}" \
--destination "''${CONTAINER_NAME}:''${CONTAINER_TAG}" \
--context dir://`pwd` \
--verbosity=debug
}
function multiarch_docker {
manifest-tool push from-spec <(cat <<EOF
image: dxflrs/garage:''${CONTAINER_TAG}
manifests:
-
image: dxflrs/arm64_garage:''${CONTAINER_TAG}
platform:
architecture: arm64
os: linux
-
image: dxflrs/amd64_garage:''${CONTAINER_TAG}
platform:
architecture: amd64
os: linux
-
image: dxflrs/386_garage:''${CONTAINER_TAG}
platform:
architecture: 386
os: linux
-
image: dxflrs/arm_garage:''${CONTAINER_TAG}
platform:
architecture: arm
os: linux
EOF
)
}
function refresh_index {
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 ls \
--recursive \
s3://garagehq.deuxfleurs.fr/_releases/ \
> aws-list.txt
nix-build nix/build_index.nix
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 cp \
result/share/_releases.json \
s3://garagehq.deuxfleurs.fr/
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 cp \
result/share/_releases.html \
s3://garagehq.deuxfleurs.fr/
}
'';
nativeBuildInputs = [ pkgs.awscli2 kaniko manifest-tool ];
};
}
function refresh_cache {
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
for attr in clippy.amd64 test.amd64 pkgs.{amd64,i386,arm,arm64}.{debug,release}; do
echo "Updating cache for ''${attr}"
derivation=$(nix-instantiate --attr ''${attr})
nix copy -j8 \
--to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/tmp/nix-signing-key.sec' \
$(nix-store -qR ''${derivation%\!bin})
done
rm /tmp/nix-signing-key.sec
}
function refresh_flake_cache {
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
for attr in packages.x86_64-linux.default; do
echo "Updating cache for ''${attr}"
derivation=$(nix path-info --derivation ".#''${attr}")
nix copy -j8 \
--to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/tmp/nix-signing-key.sec' \
$(nix-store -qR ''${derivation})
done
rm /tmp/nix-signing-key.sec
}
function to_s3 {
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 cp \
./result-bin/bin/garage \
s3://garagehq.deuxfleurs.fr/_releases/''${DRONE_TAG:-$DRONE_COMMIT}/''${TARGET}/garage
}
function to_docker {
executor \
--force \
--customPlatform="''${DOCKER_PLATFORM}" \
--destination "''${CONTAINER_NAME}:''${CONTAINER_TAG}" \
--context dir://`pwd` \
--verbosity=debug
}
function multiarch_docker {
manifest-tool push from-spec <(cat <<EOF
image: dxflrs/garage:''${CONTAINER_TAG}
manifests:
-
image: dxflrs/arm64_garage:''${CONTAINER_TAG}
platform:
architecture: arm64
os: linux
-
image: dxflrs/amd64_garage:''${CONTAINER_TAG}
platform:
architecture: amd64
os: linux
-
image: dxflrs/386_garage:''${CONTAINER_TAG}
platform:
architecture: 386
os: linux
-
image: dxflrs/arm_garage:''${CONTAINER_TAG}
platform:
architecture: arm
os: linux
EOF
)
}
function refresh_index {
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 ls \
--recursive \
s3://garagehq.deuxfleurs.fr/_releases/ \
> aws-list.txt
nix-build nix/build_index.nix
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 cp \
result/share/_releases.json \
s3://garagehq.deuxfleurs.fr/
aws \
--endpoint-url https://garage.deuxfleurs.fr \
--region garage \
s3 cp \
result/share/_releases.html \
s3://garagehq.deuxfleurs.fr/
}
'';
nativeBuildInputs = [
pkgs.awscli2
kaniko
manifest-tool
];
};
}

View file

@ -21,28 +21,28 @@ garage_util = { version = "0.8.1", path = "../util" }
garage_rpc = { version = "0.8.1", path = "../rpc" }
async-trait = "0.1.7"
base64 = "0.13"
base64 = "0.21"
bytes = "1.0"
chrono = "0.4"
crypto-common = "0.1"
err-derive = "0.3"
hex = "0.4"
hmac = "0.12"
idna = "0.2"
tracing = "0.1.30"
idna = "0.3"
tracing = "0.1"
md-5 = "0.10"
nom = "7.1"
sha2 = "0.10"
futures = "0.3"
futures-util = "0.3"
pin-project = "1.0.11"
pin-project = "1.0.12"
tokio = { version = "1.0", default-features = false, features = ["rt", "rt-multi-thread", "io-util", "net", "time", "macros", "sync", "signal", "fs"] }
tokio-stream = "0.1"
form_urlencoded = "1.0.0"
http = "0.2"
httpdate = "0.3"
httpdate = "1.0"
http-range = "0.1"
hyper = { version = "0.14", features = ["server", "http1", "runtime", "tcp", "stream"] }
multer = "2.0"
@ -52,7 +52,7 @@ serde = { version = "1.0", features = ["derive"] }
serde_bytes = "0.11"
serde_json = "1.0"
quick-xml = { version = "0.21", features = [ "serialize" ] }
url = "2.1"
url = "2.3"
opentelemetry = "0.17"
opentelemetry-prometheus = { version = "0.10", optional = true }

View file

@ -77,6 +77,53 @@ impl AdminApiServer {
.body(Body::empty())?)
}
async fn handle_check_website_enabled(
&self,
req: Request<Body>,
) -> Result<Response<Body>, Error> {
let has_domain_header = req.headers().contains_key("domain");
if !has_domain_header {
return Err(Error::bad_request("No domain header found"));
}
let domain = &req
.headers()
.get("domain")
.ok_or_internal_error("Could not parse domain header")?;
let domain_string = String::from(
domain
.to_str()
.ok_or_bad_request("Invalid characters found in domain header")?,
);
let bucket_id = self
.garage
.bucket_helper()
.resolve_global_bucket_name(&domain_string)
.await?
.ok_or_else(|| HelperError::NoSuchBucket(domain_string))?;
let bucket = self
.garage
.bucket_helper()
.get_existing_bucket(bucket_id)
.await?;
let bucket_state = bucket.state.as_option().unwrap();
let bucket_website_config = bucket_state.website_config.get();
match bucket_website_config {
Some(_v) => Ok(Response::builder()
.status(StatusCode::OK)
.body(Body::from("Bucket authorized for website hosting"))?),
None => Err(Error::bad_request(
"Bucket is not authorized for website hosting",
)),
}
}
fn handle_health(&self) -> Result<Response<Body>, Error> {
let health = self.garage.system.health();
@ -174,6 +221,7 @@ impl ApiHandler for AdminApiServer {
match endpoint {
Endpoint::Options => self.handle_options(&req),
Endpoint::CheckWebsiteEnabled => self.handle_check_website_enabled(req).await,
Endpoint::Health => self.handle_health(),
Endpoint::Metrics => self.handle_metrics(),
Endpoint::GetClusterStatus => handle_get_cluster_status(&self.garage).await,

View file

@ -17,6 +17,7 @@ router_match! {@func
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum Endpoint {
Options,
CheckWebsiteEnabled,
Health,
Metrics,
GetClusterStatus,
@ -91,6 +92,7 @@ impl Endpoint {
let res = router_match!(@gen_path_parser (req.method(), path, query) [
OPTIONS _ => Options,
GET "/check" => CheckWebsiteEnabled,
GET "/health" => Health,
GET "/metrics" => Metrics,
GET "/v0/status" => GetClusterStatus,
@ -136,6 +138,7 @@ impl Endpoint {
pub fn authorization_type(&self) -> Authorization {
match self {
Self::Health => Authorization::None,
Self::CheckWebsiteEnabled => Authorization::None,
Self::Metrics => Authorization::MetricsToken,
_ => Authorization::AdminToken,
}

View file

@ -1,5 +1,6 @@
use std::sync::Arc;
use base64::prelude::*;
use hyper::{Body, Request, Response, StatusCode};
use serde::{Deserialize, Serialize};
@ -26,9 +27,11 @@ pub async fn handle_insert_batch(
for it in items {
let ct = it.ct.map(|s| CausalContext::parse_helper(&s)).transpose()?;
let v = match it.v {
Some(vs) => {
DvvsValue::Value(base64::decode(vs).ok_or_bad_request("Invalid base64 value")?)
}
Some(vs) => DvvsValue::Value(
BASE64_STANDARD
.decode(vs)
.ok_or_bad_request("Invalid base64 value")?,
),
None => DvvsValue::Deleted,
};
items2.push((it.pk, it.sk, ct, v));
@ -358,7 +361,7 @@ impl ReadBatchResponseItem {
.values()
.iter()
.map(|v| match v {
DvvsValue::Value(x) => Some(base64::encode(x)),
DvvsValue::Value(x) => Some(BASE64_STANDARD.encode(x)),
DvvsValue::Deleted => None,
})
.collect::<Vec<_>>();

View file

@ -1,5 +1,6 @@
use std::sync::Arc;
use base64::prelude::*;
use http::header;
use hyper::{Body, Request, Response, StatusCode};
@ -81,7 +82,7 @@ impl ReturnFormat {
.iter()
.map(|v| match v {
DvvsValue::Deleted => serde_json::Value::Null,
DvvsValue::Value(v) => serde_json::Value::String(base64::encode(v)),
DvvsValue::Value(v) => serde_json::Value::String(BASE64_STANDARD.encode(v)),
})
.collect::<Vec<_>>();
let json_body =

View file

@ -3,6 +3,7 @@ use std::collections::{BTreeMap, BTreeSet};
use std::iter::{Iterator, Peekable};
use std::sync::Arc;
use base64::prelude::*;
use hyper::{Body, Response};
use garage_util::data::*;
@ -129,11 +130,11 @@ pub async fn handle_list(
next_continuation_token: match (query.is_v2, &pagination) {
(true, Some(RangeBegin::AfterKey { key })) => Some(s3_xml::Value(format!(
"]{}",
base64::encode(key.as_bytes())
BASE64_STANDARD.encode(key.as_bytes())
))),
(true, Some(RangeBegin::IncludingKey { key, .. })) => Some(s3_xml::Value(format!(
"[{}",
base64::encode(key.as_bytes())
BASE64_STANDARD.encode(key.as_bytes())
))),
_ => None,
},
@ -583,14 +584,16 @@ impl ListObjectsQuery {
(Some(token), _) => match &token[..1] {
"[" => Ok(RangeBegin::IncludingKey {
key: String::from_utf8(
base64::decode(token[1..].as_bytes())
BASE64_STANDARD
.decode(token[1..].as_bytes())
.ok_or_bad_request("Invalid continuation token")?,
)?,
fallback_key: None,
}),
"]" => Ok(RangeBegin::AfterKey {
key: String::from_utf8(
base64::decode(token[1..].as_bytes())
BASE64_STANDARD
.decode(token[1..].as_bytes())
.ok_or_bad_request("Invalid continuation token")?,
)?,
}),

View file

@ -4,6 +4,7 @@ use std::ops::RangeInclusive;
use std::sync::Arc;
use std::task::{Context, Poll};
use base64::prelude::*;
use bytes::Bytes;
use chrono::{DateTime, Duration, Utc};
use futures::{Stream, StreamExt};
@ -138,7 +139,9 @@ pub async fn handle_post_object(
.get_existing_bucket(bucket_id)
.await?;
let decoded_policy = base64::decode(&policy).ok_or_bad_request("Invalid policy")?;
let decoded_policy = BASE64_STANDARD
.decode(&policy)
.ok_or_bad_request("Invalid policy")?;
let decoded_policy: Policy =
serde_json::from_slice(&decoded_policy).ok_or_bad_request("Invalid policy")?;

View file

@ -1,6 +1,7 @@
use std::collections::{BTreeMap, BTreeSet, HashMap};
use std::sync::Arc;
use base64::prelude::*;
use futures::prelude::*;
use hyper::body::{Body, Bytes};
use hyper::header::{HeaderMap, HeaderValue};
@ -207,7 +208,7 @@ fn ensure_checksum_matches(
}
}
if let Some(expected_md5) = content_md5 {
if expected_md5.trim_matches('"') != base64::encode(data_md5sum) {
if expected_md5.trim_matches('"') != BASE64_STANDARD.encode(data_md5sum) {
return Err(Error::bad_request("Unable to validate content-md5"));
} else {
trace!("Successfully validated content-md5");

View file

@ -25,11 +25,11 @@ arc-swap = "1.5"
async-trait = "0.1.7"
bytes = "1.0"
hex = "0.4"
tracing = "0.1.30"
tracing = "0.1"
rand = "0.8"
async-compression = { version = "0.3", features = ["tokio", "zstd"] }
zstd = { version = "0.9", default-features = false }
zstd = { version = "0.12", default-features = false }
serde = { version = "1.0", default-features = false, features = ["derive", "rc"] }
serde_bytes = "0.11"

View file

@ -19,18 +19,18 @@ required-features = ["cli"]
[dependencies]
err-derive = "0.3"
hexdump = "0.1"
tracing = "0.1.30"
tracing = "0.1"
heed = { version = "0.11", default-features = false, features = ["lmdb"], optional = true }
rusqlite = { version = "0.27", optional = true }
rusqlite = { version = "0.28", optional = true }
sled = { version = "0.34", optional = true }
# cli deps
clap = { version = "3.1.18", optional = true, features = ["derive", "env"] }
clap = { version = "4.1", optional = true, features = ["derive", "env"] }
pretty_env_logger = { version = "0.4", optional = true }
[dev-dependencies]
mktemp = "0.4"
mktemp = "0.5"
[features]
default = [ "sled" ]

View file

@ -33,10 +33,10 @@ garage_web = { version = "0.8.1", path = "../web" }
backtrace = "0.3"
bytes = "1.0"
bytesize = "1.1"
timeago = "0.3"
timeago = "0.4"
parse_duration = "2.1"
hex = "0.4"
tracing = { version = "0.1.30" }
tracing = { version = "0.1" }
tracing-subscriber = { version = "0.3", features = ["env-filter"] }
rand = "0.8"
async-trait = "0.1.7"
@ -45,7 +45,7 @@ sodiumoxide = { version = "0.2.5-0", package = "kuska-sodiumoxide" }
serde = { version = "1.0", default-features = false, features = ["derive", "rc"] }
serde_bytes = "0.11"
structopt = { version = "0.3", default-features = false }
toml = "0.5"
toml = "0.6"
futures = "0.3"
futures-util = "0.3"
@ -69,7 +69,7 @@ sha2 = "0.10"
static_init = "1.0"
assert-json-diff = "2.0"
serde_json = "1.0"
base64 = "0.13"
base64 = "0.21"
[features]

View file

@ -15,6 +15,7 @@ use garage_util::time::*;
use garage_table::replication::*;
use garage_table::*;
use garage_rpc::ring::PARTITION_BITS;
use garage_rpc::*;
use garage_block::manager::BlockResyncErrorInfo;
@ -783,6 +784,7 @@ impl AdminRpcHandler {
for node in ring.layout.node_ids().iter() {
let mut opt = opt.clone();
opt.all_nodes = false;
opt.skip_global = true;
writeln!(&mut ret, "\n======================").unwrap();
writeln!(&mut ret, "Stats for node {:?}:", node).unwrap();
@ -799,6 +801,15 @@ impl AdminRpcHandler {
Err(e) => writeln!(&mut ret, "Network error: {}", e).unwrap(),
}
}
writeln!(&mut ret, "\n======================").unwrap();
write!(
&mut ret,
"Cluster statistics:\n\n{}",
self.gather_cluster_stats()
)
.unwrap();
Ok(AdminRpc::Ok(ret))
} else {
Ok(AdminRpc::Ok(self.gather_stats_local(opt)?))
@ -819,22 +830,6 @@ impl AdminRpcHandler {
writeln!(&mut ret, "\nDatabase engine: {}", self.garage.db.engine()).unwrap();
// Gather ring statistics
let ring = self.garage.system.ring.borrow().clone();
let mut ring_nodes = HashMap::new();
for (_i, loc) in ring.partitions().iter() {
for n in ring.get_nodes(loc, ring.replication_factor).iter() {
if !ring_nodes.contains_key(n) {
ring_nodes.insert(*n, 0usize);
}
*ring_nodes.get_mut(n).unwrap() += 1;
}
}
writeln!(&mut ret, "\nRing nodes & partition count:").unwrap();
for (n, c) in ring_nodes.iter() {
writeln!(&mut ret, " {:?} {}", n, c).unwrap();
}
// Gather table statistics
let mut table = vec![" Table\tItems\tMklItems\tMklTodo\tGcTodo".into()];
table.push(self.gather_table_stats(&self.garage.bucket_table, opt.detailed)?);
@ -881,12 +876,108 @@ impl AdminRpcHandler {
.unwrap();
if !opt.detailed {
writeln!(&mut ret, "\nIf values are missing (marked as NC), consider adding the --detailed flag - this will be slow.").unwrap();
writeln!(&mut ret, "\nIf values are missing above (marked as NC), consider adding the --detailed flag (this will be slow).").unwrap();
}
if !opt.skip_global {
write!(&mut ret, "\n{}", self.gather_cluster_stats()).unwrap();
}
Ok(ret)
}
fn gather_cluster_stats(&self) -> String {
let mut ret = String::new();
// Gather storage node and free space statistics
let layout = &self.garage.system.ring.borrow().layout;
let mut node_partition_count = HashMap::<Uuid, u64>::new();
for short_id in layout.ring_assignation_data.iter() {
let id = layout.node_id_vec[*short_id as usize];
*node_partition_count.entry(id).or_default() += 1;
}
let node_info = self
.garage
.system
.get_known_nodes()
.into_iter()
.map(|n| (n.id, n))
.collect::<HashMap<_, _>>();
let mut table = vec![" ID\tHostname\tZone\tCapacity\tPart.\tDataAvail\tMetaAvail".into()];
for (id, parts) in node_partition_count.iter() {
let info = node_info.get(id);
let status = info.map(|x| &x.status);
let role = layout.roles.get(id).and_then(|x| x.0.as_ref());
let hostname = status.map(|x| x.hostname.as_str()).unwrap_or("?");
let zone = role.map(|x| x.zone.as_str()).unwrap_or("?");
let capacity = role.map(|x| x.capacity_string()).unwrap_or("?".into());
let avail_str = |x| match x {
Some((avail, total)) => {
let pct = (avail as f64) / (total as f64) * 100.;
let avail = bytesize::ByteSize::b(avail);
let total = bytesize::ByteSize::b(total);
format!("{}/{} ({:.1}%)", avail, total, pct)
}
None => "?".into(),
};
let data_avail = avail_str(status.and_then(|x| x.data_disk_avail));
let meta_avail = avail_str(status.and_then(|x| x.meta_disk_avail));
table.push(format!(
" {:?}\t{}\t{}\t{}\t{}\t{}\t{}",
id, hostname, zone, capacity, parts, data_avail, meta_avail
));
}
write!(
&mut ret,
"Storage nodes:\n{}",
format_table_to_string(table)
)
.unwrap();
let meta_part_avail = node_partition_count
.iter()
.filter_map(|(id, parts)| {
node_info
.get(id)
.and_then(|x| x.status.meta_disk_avail)
.map(|c| c.0 / *parts)
})
.collect::<Vec<_>>();
let data_part_avail = node_partition_count
.iter()
.filter_map(|(id, parts)| {
node_info
.get(id)
.and_then(|x| x.status.data_disk_avail)
.map(|c| c.0 / *parts)
})
.collect::<Vec<_>>();
if !meta_part_avail.is_empty() && !data_part_avail.is_empty() {
let meta_avail =
bytesize::ByteSize(meta_part_avail.iter().min().unwrap() * (1 << PARTITION_BITS));
let data_avail =
bytesize::ByteSize(data_part_avail.iter().min().unwrap() * (1 << PARTITION_BITS));
writeln!(
&mut ret,
"\nEstimated available storage space cluster-wide (might be lower in practice):"
)
.unwrap();
if meta_part_avail.len() < node_partition_count.len()
|| data_part_avail.len() < node_partition_count.len()
{
writeln!(&mut ret, " data: < {}", data_avail).unwrap();
writeln!(&mut ret, " metadata: < {}", meta_avail).unwrap();
writeln!(&mut ret, "A precise estimate could not be given as information is missing for some storage nodes.").unwrap();
} else {
writeln!(&mut ret, " data: {}", data_avail).unwrap();
writeln!(&mut ret, " metadata: {}", meta_avail).unwrap();
}
}
ret
}
fn gather_table_stats<F, R>(
&self,
t: &Arc<Table<F, R>>,

View file

@ -59,18 +59,29 @@ pub async fn cmd_status(rpc_cli: &Endpoint<SystemRpc, ()>, rpc_host: NodeID) ->
let layout = fetch_layout(rpc_cli, rpc_host).await?;
println!("==== HEALTHY NODES ====");
let mut healthy_nodes = vec!["ID\tHostname\tAddress\tTags\tZone\tCapacity".to_string()];
let mut healthy_nodes =
vec!["ID\tHostname\tAddress\tTags\tZone\tCapacity\tDataAvail\tMetaAvail".to_string()];
for adv in status.iter().filter(|adv| adv.is_up) {
match layout.roles.get(&adv.id) {
Some(NodeRoleV(Some(cfg))) => {
let data_avail = match &adv.status.data_disk_avail {
_ if cfg.capacity.is_none() => "N/A".into(),
Some((avail, total)) => {
let pct = (*avail as f64) / (*total as f64) * 100.;
let avail = bytesize::ByteSize::b(*avail);
format!("{} ({:.1}%)", avail, pct)
}
None => "?".into(),
};
healthy_nodes.push(format!(
"{id:?}\t{host}\t{addr}\t[{tags}]\t{zone}\t{capacity}",
"{id:?}\t{host}\t{addr}\t[{tags}]\t{zone}\t{capacity}\t{data_avail}",
id = adv.id,
host = adv.status.hostname,
addr = adv.addr,
tags = cfg.tags.join(","),
zone = cfg.zone,
capacity = cfg.capacity_string(),
data_avail = data_avail,
));
}
_ => {

Some files were not shown because too many files have changed in this diff Show more