Compare commits

...

315 commits

Author SHA1 Message Date
3a0e074047 Merge pull request 'prez-ocp' (#636) from prez-ocp into main
Reviewed-on: Deuxfleurs/garage#636
2023-09-21 08:15:10 +00:00
95ae09917b add ocp2023 presentation 2023-09-19 14:02:07 +02:00
a7ababb5db doc: update sticker 2023-09-18 16:40:06 +02:00
be1a16b42b Merge pull request 'Fix multiple shutdown issues' (#633) from fix-shutdown into main
Reviewed-on: Deuxfleurs/garage#633
2023-09-12 12:54:50 +00:00
91e764a2bf fix hang on shutdown 2023-09-12 14:35:48 +02:00
aa79810596 Fix error when none of S3/K2V/WEB/ADMIN server is started (fix #613) 2023-09-12 14:35:19 +02:00
143a349f55 Merge pull request 'fix 32-bit build' (#632) from fix-32bit into main
Reviewed-on: Deuxfleurs/garage#632
2023-09-11 21:08:26 +00:00
9cfe55ab60 fix 32-bit build 2023-09-11 20:01:29 +02:00
2548a247f2 Merge pull request 'use statvfs instead of mount list to determine free data/meta space (fix #611)' (#631) from fix-free-space into main
Reviewed-on: Deuxfleurs/garage#631
2023-09-11 17:29:23 +00:00
d5bb50d738 use statvfs instead of mount list to determine free data/meta space (fix #611) 2023-09-11 19:08:24 +02:00
fc635f7072 Merge pull request 'make lmdb's map_size configurable (fix #628)' (#630) from configurable-map-size into main
Reviewed-on: Deuxfleurs/garage#630
2023-09-11 16:48:14 +00:00
f8b3883611 config: make block_size and sled_cache_capacity expressable as strings 2023-09-11 18:34:59 +02:00
51b9731a08 make lmdb's map_size configurable (fix #628) 2023-09-11 18:03:44 +02:00
5f86b48f97 Merge pull request 'Revert netapp to 0.5.2 to avoid rmp-serde upgrade that breaks things' (#627) from hold-netapp-0.5.2 into main
Reviewed-on: Deuxfleurs/garage#627
2023-09-05 22:08:40 +00:00
51eac97260 update version to 0.8.4 2023-09-05 23:28:12 +02:00
e78566591b Revert netapp update, hold to version 0.5.2 that uses rmp-serde 0.15 2023-09-05 23:23:23 +02:00
32e5686ad8 Merge pull request 'Garage v0.8.3' (#619) from next-0.8 into main
Reviewed-on: Deuxfleurs/garage#619
2023-08-29 08:55:46 +00:00
06369c8f4a add garage_db dependency in garage_rpc 2023-08-28 17:08:21 +02:00
cece1be1bb bump version to 0.8.3 2023-08-28 13:17:26 +02:00
769b6fe054 fix test_website_check_domain 2023-08-28 12:40:28 +02:00
e66c78d6ea integration test: move json_body to root of crate 2023-08-28 12:32:57 +02:00
51011e68b1 move alpine linux info to binary package page 2023-08-28 12:20:34 +02:00
a54a1f5616 Merge pull request 'doc: Add information about Alpine Linux package to Quick Start' (#564) from jirutka/garage:alpine into next-0.8
Reviewed-on: Deuxfleurs/garage#564
2023-08-28 10:18:33 +00:00
9b4ce4a8ad admin api: refactor caddy check api code 2023-08-28 12:17:10 +02:00
2bbe2da5ad Merge pull request 'support index on path missing a trailing slash' (#612) from compat/index-without-trailing-slash into main
Reviewed-on: Deuxfleurs/garage#612
2023-08-28 10:15:01 +00:00
29353adbe5 Merge pull request 'cargo: Bump dependencies' (#606) from jpds/garage:cargo-bumps-230801 into main
Reviewed-on: Deuxfleurs/garage#606
2023-08-28 10:13:39 +00:00
c5cafa0000 web_server.rs: handle error properly and refactor 2023-08-28 12:05:14 +02:00
74478443ec update cargo.nix 2023-08-28 11:31:40 +02:00
Jonathan Davies
d66d81ae2d cargo: Updated gethostname v0.2.3 -> v0.4.3. 2023-08-28 09:30:27 +00:00
Jonathan Davies
7d8296ec59 cargo: Updated pretty_env_logger v0.4.0 -> v0.5.0. 2023-08-28 09:30:27 +00:00
Jonathan Davies
f607ac6792 garage/api: cargo: Updated idna dependency to 0.4. 2023-08-28 09:30:27 +00:00
Jonathan Davies
96d1d81ab7 garage/db: cargo: Updated rusqlite to 0.29. 2023-08-28 09:30:27 +00:00
Jonathan Davies
5185701aa8 cargo: Updated:
* addr2line v0.19.0 -> v0.20.0
 * async-compression v0.4.0 -> v0.4.1
 * clap v4.3.8 -> v4.3.19
 * hyper v0.14.26 -> v0.14.27
 * ipnet v2.7.2 -> v2.8.0
 * rmp v0.8.11 -> v0.8.12
 * serde v1.0.164 -> v1.0.188
 * tokio v1.29.0 -> v1.31.0
 * zstd v0.12.3+zstd.1.5.2 -> v0.12.4
 * Others in `cargo update`
2023-08-28 09:30:27 +00:00
d539a56d3a Merge pull request 'Support {s3,web}.root_domains for the Caddy on-demand TLS endpoint (<admin>/check?domain=xx)' (#610) from bug/support-root-domains-on-demand-tls into main
Reviewed-on: Deuxfleurs/garage#610
2023-08-28 09:18:13 +00:00
bd50333ade Merge pull request 'reverse-proxy.md: Added caching section for Caddy.' (#614) from jpds/garage:caddy-cache into main
Reviewed-on: Deuxfleurs/garage#614
2023-08-28 08:51:33 +00:00
170c6a2eac Merge pull request 'backup.md: Added restic-android note.' (#616) from jpds/garage:doc-restic-android into main
Reviewed-on: Deuxfleurs/garage#616
2023-08-28 08:50:57 +00:00
Jonathan Davies
7f7d85654d backup.md: Added restic-android note. 2023-08-18 18:02:19 +01:00
Jonathan Davies
245a0882e1 reverse-proxy.md: Added caching section for Caddy. 2023-08-16 11:49:52 +01:00
63da1d2443
support index on path missing a trailing slash 2023-08-08 15:28:57 +02:00
24e533f262
support {s3,web}.root_domains in /check endpoint 2023-08-08 11:05:42 +02:00
67b1457c77 Merge pull request 'post_object.rs: Fixed typos / grammar.' (#607) from jpds/garage:post-objects-typos into main
Reviewed-on: Deuxfleurs/garage#607
2023-08-04 07:09:21 +00:00
Jonathan Davies
59bfc68f2e post_object.rs: Fixed typos / grammar. 2023-08-01 15:31:39 +01:00
a98855157b Merge pull request 'operations/durability-repairs-md: Fix typo' (#604) from maxjustus/garage:main into main
Reviewed-on: Deuxfleurs/garage#604
2023-07-28 14:31:51 +00:00
4d7bbf7878 operations/durability-repairs-md: Fix typo 2023-07-24 10:01:48 -07:00
18eb73d52e Merge pull request 'flake-compat: use nix-community fork' (#599) from flokli/garage:flake-compat into main
Reviewed-on: Deuxfleurs/garage#599
2023-07-18 21:54:51 +00:00
79ca8e76a4 nix/common.nix: use pattern from nix-community/flake-compat
This is still a bit confusing, as normally the flake.defaultNix attrset
gets exposed via a top-level default.nix, but at least it brings us
closer to that.
2023-07-16 12:52:14 +03:00
1bbf604224 flake.nix: switch to nix-community/flake-compat
edolstra/flake-compat is unmaintained.

cargo2nix also still pulls in edolstra/flake-compat, make it follow the
nix-community one.
2023-07-16 12:40:47 +03:00
6ba611361e Merge pull request 'tree-wide: fix some typos' (#598) from flokli/garage:fix-typos into main
Reviewed-on: Deuxfleurs/garage#598
2023-07-14 15:51:44 +00:00
c855284760 src/util: fix typo 2023-07-14 14:25:40 +03:00
b1ca1784a1 src/garage/cli: fix typo 2023-07-14 14:25:33 +03:00
f0b7a0af3d doc/drafts: fix typo 2023-07-14 14:25:14 +03:00
194549ca46 doc/book: fix typo 2023-07-14 14:24:40 +03:00
202d3f0e3c doc/api: fix typo 2023-07-14 14:24:27 +03:00
7605d0cb11 Merge pull request 'cargo: tokio-1.29 and async-compression-0.4' (#593) from jpds/garage:tokio-1.29 into main
Reviewed-on: Deuxfleurs/garage#593
2023-07-03 17:03:09 +00:00
031804171a Update Cargo.nix 2023-07-03 11:33:36 +02:00
Jonathan Davies
aee0d97f22 cargo: Updated async-compression to 0.4. 2023-06-28 11:17:16 +01:00
Jonathan Davies
098c388f1b cargo: Updated tokio to 1.29. 2023-06-28 11:16:41 +01:00
e716320b0a Merge pull request 'cargo: roxmltree-0.18 and aws-sdk-s3-0.28 bump' (#591) from jpds/garage:roxmltree-0.18 into main
Reviewed-on: Deuxfleurs/garage#591
2023-06-27 17:20:58 +00:00
e466edbaec Merge pull request 'introduce dedicated return type for PollRange' (#590) from trinity-1686a/garage:k2v-client-poll-range-result into main
Reviewed-on: Deuxfleurs/garage#590
2023-06-27 08:28:26 +00:00
76355453dd Update Cargo.nix 2023-06-27 10:23:02 +02:00
ee494f5aa2 Merge pull request 'don't build sqlite by default' (#592) from trinity-1686a/garage:dont-build-sqlite into main
Reviewed-on: Deuxfleurs/garage#592
2023-06-27 08:14:38 +00:00
Jonathan Davies
f31d98097a Cargo.lock: Updated. 2023-06-26 18:03:47 +01:00
Jonathan Davies
a6da7e588f tests/bucket.rs: Adjusted as previously used function is now private. 2023-06-26 18:03:43 +01:00
e5835704b7 don't build sqlite by default
`bundled-libs` is enabled by default, and causes sqlite to be built too,
even if the sqlite backend isn't enabled.
2023-06-26 11:15:11 +02:00
Jonathan Davies
7f8bf2d801 src/garage/tests: Updated types for aws-sdk-s3 bump. 2023-06-25 21:31:35 +01:00
Jonathan Davies
4297233d3e garage/Cargo.toml: Updated aws-sdk-s3 to 0.28, added aws-config. 2023-06-25 21:17:15 +01:00
Jonathan Davies
b94ba47f29 api/Cargo.toml: Updated roxmltree to 0.18. 2023-06-24 14:15:26 +01:00
33b3cf8e22 introduce dedicated return type for PollRange 2023-06-24 10:17:20 +02:00
736083063f Merge pull request 'doc: Added ejabberd S3 section' (#588) from jpds/garage:doc-ejabberd-s3 into main
Reviewed-on: Deuxfleurs/garage#588
2023-06-20 09:23:43 +00:00
Jonathan Davies
a5ae566e0b apps/index.md: Fixed endpoint URL example. 2023-06-19 10:15:30 +01:00
Jonathan Davies
185f9e78f3 operations/durability-repairs.md: Added note about randomized scrub times. 2023-06-19 10:15:30 +01:00
Jonathan Davies
fb971a5f01 cookbook/encryption.md: Added Cyberduck note. 2023-06-19 10:15:30 +01:00
Jonathan Davies
6af2cde23f cookbook/encryption.md: Added note on XMPP. 2023-06-19 10:15:30 +01:00
Jonathan Davies
97eb389274 docs/apps: Added ejabberd section. 2023-06-19 10:15:30 +01:00
5e291c64b3 Merge pull request 'Documentation updates' (#587) from doc-updates into main
Reviewed-on: Deuxfleurs/garage#587
2023-06-14 10:57:32 +00:00
9092c71a01 doc: encryption organization 2023-06-14 12:51:47 +02:00
120f8b3bfb doc: better doc on systemd's DynamicUser (fix #430) 2023-06-14 12:39:46 +02:00
39c3738a07 Add a page about encryption (fix #416) 2023-06-14 12:39:46 +02:00
7169ee6ee6 doc: reformulate in monitoring page 2023-06-14 12:39:46 +02:00
dd7533a260 doc: add an operations&maintenance section and move some pages there 2023-06-14 12:39:40 +02:00
9233661967 Add documentation on durability and repair procedures (fix #219) 2023-06-14 11:54:21 +02:00
3aadba724d doc: english improvement 2023-06-14 11:21:56 +02:00
5a186be363 Doc: update goals, add docker alias
Fix #235
2023-06-14 11:09:31 +02:00
01346143ca Merge pull request 'Split src/garage/admin.rs into smaller files' (#586) from main-split-admin into main
Reviewed-on: Deuxfleurs/garage#586
2023-06-13 14:56:34 +00:00
eb9cecf05c Split garage/admin.rs into smaller files 2023-06-13 16:46:28 +02:00
802ed75721 move admin.rs to admin/mod.rs, before splitting 2023-06-13 16:42:14 +02:00
fc29548933 Merge pull request 'fix timestamps wrapping around in garage block list-errors (fix #584)' (#585) from fix-future-timestamps into main
Reviewed-on: Deuxfleurs/garage#585
2023-06-13 12:51:16 +00:00
1ea4937c8b fix timestamps wrapping around in garage block list-errors (fix #584) 2023-06-12 20:07:33 +02:00
6aec73b641 Merge pull request 'payload.rs: Fixed two typoes' (#581) from jpds/garage:payload-typoes into main
Reviewed-on: Deuxfleurs/garage#581
2023-06-09 08:59:47 +00:00
Jonathan Davies
8a945ee996 payload.rs: Surround / in inverted commas. 2023-06-06 16:26:06 +01:00
Jonathan Davies
180992d0f1 payload.rs: Fixed typo in error message. 2023-06-06 16:25:29 +01:00
44548a9114 Merge pull request 'feature: Register consul services with agent API' (#567) from unrob/garage:roberto/consul-agent-registration into main
Reviewed-on: Deuxfleurs/garage#567
Reviewed-by: Alex <alex@adnab.me>
2023-06-02 14:35:00 +00:00
Roberto Hidalgo
32ad4538ee fix references to old config names 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
ef8a7add08 set default for [consul-services] api 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
2d46d24d06 update docs 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
b770504126 simplify code according to feedback 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
6b69404f1a rename mode to consul_http_api 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
011f473048 revert rpc/Cargo.toml 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
fd7dbea5b8 follow feedback, fold into existing feature 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
bd6485565e allow additional ServiceMeta, docs 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
4d6e6fc155 cargo fmt 2023-05-22 08:57:15 -06:00
Roberto Hidalgo
02ba9016ab register consul services against local agent instead of catalog api 2023-05-22 08:57:15 -06:00
9d833bb7ef Merge pull request 'K2V-client improvements' (#577) from k2v-client-aws-sigv4 into main
Reviewed-on: Deuxfleurs/garage#577
2023-05-22 09:03:08 +00:00
c3d3b837eb bump k2v-client to v0.0.4 2023-05-22 10:47:15 +02:00
130e01505b Fix k2v_client with unicode in partition keys 2023-05-22 10:45:09 +02:00
e2ce5970c6 Add basic k2v_client integration tests 2023-05-22 10:45:06 +02:00
644e872264 Port k2v-client to aws-sigv4 since rusoto_signature is deprecated 2023-05-19 12:08:29 +02:00
03efc191c1 Merge pull request 'K2V: double urlencoding' (#574) from fix-k2v-urlencoding into main
Reviewed-on: Deuxfleurs/garage#574
2023-05-18 09:33:03 +00:00
4420db7310 add tracing to k2v-client 2023-05-18 11:18:21 +02:00
746b0090e4 k2v signature verification: double urlencoding (see comment in source code) 2023-05-18 11:18:06 +02:00
c26a4308b4 Merge pull request 'Split format_table into separate crate and reduce k2v-client dependencies' (#572) from split-format-table into main
Reviewed-on: Deuxfleurs/garage#572
2023-05-17 12:33:45 +00:00
217d429937 fix clippy lint in format-table crate 2023-05-17 13:06:37 +02:00
a1cec2cd60 Split format_table into separate crate and reduce k2v-client dependencies 2023-05-17 13:01:37 +02:00
b66f247580 Merge pull request 'fixes to K2V client' (#571) from k2v-client-fixes into main
Reviewed-on: Deuxfleurs/garage#571
2023-05-16 20:20:31 +00:00
16f2a32bb7 cargo fmt 2023-05-16 19:46:57 +02:00
472444ed8e k2v-client 0.0.2 2023-05-16 19:46:57 +02:00
bb03805b58 k2v-cli: fix sort_key being partition_key and specify which key 2023-05-16 19:46:57 +02:00
e4f955d672 fix base64 uses 2023-05-16 19:46:56 +02:00
ea9b15f669 Merge pull request 'cargo: tokio-1.28 and hyper-0.14.26 update' (#569) from jpds/garage:tokio-1.28 into main
Reviewed-on: Deuxfleurs/garage#569
2023-05-11 10:16:33 +00:00
2e6bb3f766 update Cargo.nix 2023-05-11 11:34:18 +02:00
375270afd1 Merge pull request '*: apply clippy recommendations.' (#570) from jpds/garage:clippy-fixes into main
Reviewed-on: Deuxfleurs/garage#570
2023-05-11 09:33:03 +00:00
Jonathan Davies
c783194e8b *: apply clippy recommendations. 2023-05-09 20:49:34 +01:00
Jonathan Davies
fdcd7dee5a Cargo.lock: Updated for:
* tokio 1.28
 * hyper 0.14.26
2023-05-09 14:43:52 +01:00
Jonathan Davies
0f0795103d block/Cargo.toml: Bump tokio-util to 0.7. 2023-05-09 14:33:21 +01:00
Jonathan Davies
c9d26e8c50 k2v-client/Cargo.toml: Make tokio dep match other packages. 2023-05-09 14:33:00 +01:00
b925f53dc3 Merge pull request 'move git-version dependency to main crate to reduce rebuilds' (#568) from move-git-version into main
Reviewed-on: Deuxfleurs/garage#568
2023-05-09 09:53:33 +00:00
2f495575d8 Merge pull request 'block/manager.rs: Prioritize raw blocks when no compression configured' (#566) from jpds/garage:skip-compressed-blocks-scrub-no-compression into main
Reviewed-on: Deuxfleurs/garage#566
2023-05-09 09:39:48 +00:00
9e0a9c1c15 move git-version dependency to main crate to reduce rebuilds 2023-05-09 11:35:32 +02:00
Jonathan Davies
9c788059e2 block/manager.rs: In is_block_compressed - check which compression_level
is configured on a node and check for raw block first if compression is
disabled (to help reduce syscalls during a scrub).
2023-05-09 10:28:19 +01:00
5684e1990c Merge pull request 'Really allow to disable sled feature' (#563) from jirutka/garage:workspace-deps into main
Reviewed-on: Deuxfleurs/garage#563
2023-05-09 09:08:35 +00:00
14c50f2f84 Merge pull request 'Fix undefined macro warn! on 32-bit' (#562) from jirutka/garage:fix-undefined-warn into main
Reviewed-on: Deuxfleurs/garage#562
2023-05-09 08:52:11 +00:00
0fab9c3b8c Merge pull request 'Helm: Include newer config parameters as values' (#565) from jonatan/garage:main into main
Reviewed-on: Deuxfleurs/garage#565
2023-05-09 08:49:00 +00:00
75759a163c Allow to really disable sled feature 2023-05-09 08:46:15 +00:00
d2deee0b8b Declare garage crates using workspace.dependencies
This will allow to really disable "sled" feature without declaring
`default-features = false` in every Cargo.toml where garage_db and
garage_model is used.

See https://doc.rust-lang.org/cargo/reference/workspaces.html#the-dependencies-table
2023-05-09 08:46:15 +00:00
8499cd5c21 Merge pull request 'Remove unnecessary/unused "timeago" features' (#559) from jirutka/garage:timeago-features into main
Reviewed-on: Deuxfleurs/garage#559
2023-05-09 08:44:22 +00:00
4ea7983093
Helm: Increment patch version 2023-05-08 08:03:21 +02:00
d5e39d11eb
Helm: Include newer config parameters as values
Add all missing parameters from the reference manual.
Primarily to enable the use of the new lmdb engine
2023-05-08 07:47:31 +02:00
06caa12d49 doc: Add information about Alpine Linux package to Quick Start 2023-05-07 19:28:43 +02:00
6d3ace1ea9 Fix undefined macro warn! on 32-bit
Compiling garage_db v0.8.2 (garage-0.8.2/src/db)
    error: cannot find macro `warn` in this scope
       --> src/db/lmdb_adapter.rs:352:2
        |
    352 |     warn!("LMDB is not recommended on 32-bit systems, database size will be limited");
        |     ^^^^
        |
        = help: consider importing this macro:
                tracing::warn
        = note: `warn` is in scope, but it is an attribute: `#[warn]`
    error: could not compile `garage_db` due to previous error
2023-05-07 17:01:44 +02:00
833cf082da Remove unnecessary/unused "timeago" features
To decrease dependency bloat and binary size.
2023-05-07 01:03:54 +02:00
1ecd88c01f Merge pull request 'Update rust toolchain to 1.68 and simplify Nix stuff' (#554) from nix-update-simplify into main
Reviewed-on: Deuxfleurs/garage#554
2023-04-25 14:56:49 +00:00
5efcdc0de3 Update rust toolchain to 1.68 and simplify Nix stuff 2023-04-25 14:46:47 +02:00
a16eb7e4b8 Merge pull request 'api/Cargo.toml: Bumped quick-xml to version 0.26.' (#552) from jpds/garage:quick-xml-0.26 into main
Reviewed-on: Deuxfleurs/garage#552
2023-04-24 09:00:00 +00:00
6742070517 Merge pull request 'block/repair.rs: Added log entries for scrub start/finish.' (#551) from jpds/garage:scrub-log into main
Reviewed-on: Deuxfleurs/garage#551
2023-04-24 08:29:36 +00:00
6894878146 update cargo.nix 2023-04-24 10:26:14 +02:00
02b0ba5f44 Merge pull request 'cookbook/real-world: fix typo' (#549) from yuka/garage:main into main
Reviewed-on: Deuxfleurs/garage#549
2023-04-24 08:24:55 +00:00
Jonathan Davies
fb3bd11dce block/repair.rs: Added log entries for scrub start/finish. 2023-04-23 22:22:26 +01:00
Jonathan Davies
c168383113 api/Cargo.toml: Bumped quick-xml to version 0.26. 2023-04-23 20:14:28 +01:00
04a0063df9 cookbook/real-world: fix typo 2023-04-21 16:46:58 +00:00
a2a35ac7a8 docs(book/quickstart): adapt aws s3 commands to example
Signed-off-by: arthurlutz <arthurlutz@noreply.localhost>
2023-04-03 06:18:28 +00:00
f167310f42 Merge pull request 'Update Helm chart versions (app + chart)' (#535) from elwin013/garage:update-helm-chart-appVersion-to-0.8.2 into main
Reviewed-on: Deuxfleurs/garage#535
2023-03-24 16:06:30 +00:00
66ed0bdd91
Update Helm chart versions (app + chart)
* chart version: 0.4.0
* app version: v0.8.2
2023-03-23 20:20:46 +01:00
Jonathan Davies
11b154b33b cli.md: Pointed Cyberduck profile at upstream link. 2023-03-20 10:46:02 +00:00
703ac43f1c Merge pull request 'Prepare for v0.8.2' (#530) from prepare-v082 into main
Reviewed-on: Deuxfleurs/garage#530
2023-03-13 18:34:33 +00:00
000006d689 obsolete clippy lints 2023-03-13 18:50:07 +01:00
0a1ddcf630 Prepare for v0.8.2 2023-03-13 18:46:31 +01:00
d6ffa57f40 Merge pull request 'Increase Garage tests robustness' (#526) from tests/increase-robustness into main
Reviewed-on: Deuxfleurs/garage#526
Reviewed-by: Alex <alex@adnab.me>
Reviewed-by: trinity-1686a <trinity.pointard@gmail.com>
2023-03-13 17:26:21 +00:00
7fcc153e7c Merge pull request 'rpc/system_metrics.rs: Added rustversion label to garage_build_info metric.' (#524) from jpds/garage:rustversion-label into main
Reviewed-on: Deuxfleurs/garage#524
2023-03-13 15:46:48 +00:00
f37ec584b6 Merge branch 'main' into rustversion-label 2023-03-13 16:14:13 +01:00
Jonathan Davies
dc6be39833 doc: cli.md: Added s5cmd example. 2023-03-13 14:15:18 +00:00
70b5424b99
use one key per context to isolate tests 2023-03-13 15:06:05 +01:00
2687fb7fa8
do not assume Garage boots in 2sec during tests 2023-03-13 15:06:05 +01:00
24e43f1aa0 Merge pull request 'Bump pnet_datalink 0.28 -> 0.33' (#514) from teutat3s/garage:pnet_datalink-0.33.0 into main
Reviewed-on: Deuxfleurs/garage#514
2023-03-13 13:43:04 +00:00
teutat3s
8ad6efb338
Merge branch 'main' into pnet_datalink-0.33.0 2023-03-13 13:59:42 +01:00
3b498c7c47
update cargo.nix 2023-03-13 13:59:02 +01:00
40fa1242f0 update cargo.nix 2023-03-10 18:15:06 +01:00
Jonathan Davies
9ea154ae9c admin/cluster.rs: Added rust_version. 2023-03-10 14:46:54 +00:00
Jonathan Davies
4421378023 garage/admin.rs: Display Rust version in stats output. 2023-03-10 14:46:54 +00:00
Jonathan Davies
25f2a46fc3 rpc/system_metrics.rs: Added rustversion label to garage_build_info metric. 2023-03-10 14:46:44 +00:00
3325928c13 Merge pull request 'block/repair.rs: Added migration for ScrubWorkerPersisted's time_next_run_scrub.' (#523) from jpds/garage:migrate-scrubworkerpersisted into main
Reviewed-on: Deuxfleurs/garage#523
2023-03-10 13:25:01 +00:00
Jonathan Davies
d218f475cb block/manager.rs: Set defaults for scrub_persister. 2023-03-09 17:08:47 +00:00
Jonathan Davies
7b65dd24e2 block/repair.rs: Added a timestamp argument to
randomize_next_scrub_run_time().
2023-03-09 16:38:41 +00:00
Jonathan Davies
b70cc0a940 block/repair.rs: Added migration for ScrubWorkerPersisted's time_next_run_scrub.
Fixes: #520.
2023-03-09 16:38:36 +00:00
9e061d5a70 Merge pull request 'Update logo for stickers' (#521) from logo_autocollants into main
Reviewed-on: Deuxfleurs/garage#521
2023-03-08 13:14:46 +00:00
db69267a56 MàJ logo pour autocollants 2023-03-07 21:34:55 +01:00
2dc80abbb1 Merge pull request 'block/repair.rs: Added a random element of 10 days to SCRUB_INTERVAL' (#516) from jpds/garage:scrub-randomize-window into main
Reviewed-on: Deuxfleurs/garage#516
2023-03-06 14:11:25 +00:00
Jonathan Davies
148b66b843 block/manager.rs: Display scrub-next-run. 2023-03-06 13:43:09 +00:00
Jonathan Davies
53d09eb00f block/repair.rs: Added function and time_next_run_scrub with a random element of
10 days to SCRUB_INTERVAL to help balance scrub load across cluster.
2023-03-06 13:43:04 +00:00
00dcfc97a5 Merge pull request 'web_server.rs: Log X-Forwarded-For IP' (#504) from jpds/garage:web_server-log-x-forwarded-for into main
Reviewed-on: Deuxfleurs/garage#504
2023-03-06 12:33:06 +00:00
Jonathan Davies
4e0fc3d6c9 web/web_server.rs: Handle X-Forwarded-For here too. 2023-03-06 11:43:54 +00:00
Jonathan Davies
e4e5196066 api/generic_server.rs: Use new handle_forwarded_for_headers() function. 2023-03-06 11:43:35 +00:00
0d0906b066 Merge pull request 'Clearer error message when LMDB has oom error (fix #517)' (#519) from lmdb-oom-message into main
Reviewed-on: Deuxfleurs/garage#519
2023-03-06 10:49:04 +00:00
b8123fb6cd Clearer error message when LMDB has oom error (fix #517) 2023-03-06 11:38:49 +01:00
3d37be33a8 Merge pull request 'binary-packages.md: Added.' (#515) from jpds/garage:doc-binary-packages into main
Reviewed-on: Deuxfleurs/garage#515
2023-03-06 10:17:19 +00:00
Jonathan Davies
ff70e09aa0 util/forwarded_headers.rs: Generalized handle_forwarded_for_headers()
here.
2023-03-03 19:17:40 +00:00
Jonathan Davies
f056ad569d binary-packages.md: Added. 2023-03-03 18:52:49 +00:00
a5f7a79250 Merge pull request 'Add documentation on community Ansible roles' (#513) from baptiste/garage:doc_ansible into main
Reviewed-on: Deuxfleurs/garage#513
2023-03-02 11:59:07 +00:00
Baptiste Jonglez
3b22da251d Add documentation on community Ansible roles 2023-03-01 09:24:13 +01:00
teutat3s
f0717dd169
Bump pnet_datalink 0.28 -> 0.33
Motivation: building garage on illumos is only possible since
pnet_datalink version 0.30

Changelog: https://github.com/libpnet/libpnet/compare/v0.28.0...v0.33.0
2023-02-28 16:06:43 +01:00
e818e39321 Merge pull request 'docs: fix k2v spec link' (#512) from wilson/garage:wilson/docs-k2v-link into main
Reviewed-on: Deuxfleurs/garage#512
2023-02-26 09:12:53 +00:00
a15eb115c8 docs: fix k2v spec link
Signed-off-by: wilson <wilson@noreply.localhost>
2023-02-26 07:38:44 +00:00
ae0934e018 Merge pull request 'reverse-proxy.md: Added healthcheck examples' (#505) from jpds/garage:doc-healthchecks into main
Reviewed-on: Deuxfleurs/garage#505
2023-02-15 15:13:04 +00:00
Jonathan Davies
6b8d634cc2 cookbook/reverse-proxy.md: Fixed up Traefik section:
* Renamed my_garage_service -> garage-s3-service.
 * Defined a web service for port 3902.
 * Added a garage-s3 router.
 * Pointed website definition at web service.
 * Use the /health endpoint for loadBalancer health check.
 * Renamed gzip_compress to just compression as traefik v3 will also do
   brotli compression.
2023-02-14 19:03:57 +00:00
Jonathan Davies
ee88ccf2b2 cookbook/reverse-proxy.md: Document how to use healthchecks for caddy. 2023-02-14 18:39:05 +00:00
Jonathan Davies
4c143776bf backup.md: Added section for git-annex. 2023-02-08 22:54:56 +00:00
8b4d0adc75 Merge pull request 'generic_server.rs: Added support for logging X-Forwarded-For header.' (#500) from jpds/garage:generic_server-log-x-forwarded-for into main
Reviewed-on: Deuxfleurs/garage#500
2023-02-06 14:20:12 +00:00
c2a9f00a58 Merge pull request 'upgrading.md: Added small note about garage_build_info.' (#501) from jpds/garage:doc-upgrade-buildinfo-metric into main
Reviewed-on: Deuxfleurs/garage#501
2023-02-06 14:20:00 +00:00
d14678e0ac Merge pull request 'Secrets can be passed directly in config, as file, or as env' (#499) from config-files-env into main
Reviewed-on: Deuxfleurs/garage#499
2023-02-06 14:18:58 +00:00
Jonathan Davies
179fda9fb6 upgrading.md: Added small note about garage_build_info. 2023-02-06 12:53:55 +00:00
80e2326998 fixes for pr 499 2023-02-06 12:23:55 +01:00
Jonathan Davies
94d70bec69 generic_server.rs: Added support for logging X-Forwarded-For header.
Fixes: #460
2023-02-04 15:19:21 +00:00
656b8d42de secrets can be passed directly in config, as file, or as env 2023-02-03 15:27:39 +01:00
fba8224cf0 Merge pull request 'error.rs: Corrected error message to say unexpected scope.' (#497) from jpds/garage:authorization-header-unexpected-scope into main
Reviewed-on: Deuxfleurs/garage#497
2023-02-03 13:22:40 +00:00
Jonathan Davies
1b6ec74748 error.rs: Corrected error messages to say unexpected scope. 2023-02-02 16:20:31 +00:00
30f1636a00 Merge pull request 'Documentation updates' (#496) from doc-mention-talks into main
Reviewed-on: Deuxfleurs/garage#496
2023-01-30 17:58:05 +00:00
8013a5cd58 Change talk links more 2023-01-30 18:51:48 +01:00
2ba9463a8a Raw links to presentations 2023-01-30 18:48:00 +01:00
7f715ba94f zero-downtime migration procedure 2023-01-30 18:41:04 +01:00
44f8b1d71a Reorder reference manual section, move metrics list to there 2023-01-30 18:00:01 +01:00
56384677fa Add links to presentations 2023-01-30 17:48:36 +01:00
4cff37397f Merge pull request 'Small doc corrections' (#489) from jpds/garage:doc-corrections into main
Reviewed-on: Deuxfleurs/garage#489
2023-01-30 16:35:30 +00:00
Jonathan Davies
5f412abd4e cookbook/reverse-proxy.md: Added on-demand TLS section. 2023-01-30 14:37:55 +00:00
Jonathan Davies
c753a9dfb6 cookbook/monitoring.md: Added new metrics (garage_build_info,
garage_replication_factor, block_compression_level).
2023-01-30 12:54:42 +00:00
Jonathan Davies
ae9c7a2900 cookbook/_index.md: Added link to monitoring documentation. 2023-01-30 12:54:42 +00:00
Jonathan Davies
7ab27f84b8 configuration.md: Corrected OpenTelemetry. 2023-01-30 12:54:42 +00:00
Jonathan Davies
55c369137d gateways.md: -z is a required flag for layout assign. 2023-01-30 12:54:38 +00:00
a1005c26b6 Merge pull request 'Cargo.lock: Bump for tokio 1.25.0.' (#494) from jpds/garage:cargo-update-tokio-1.25.0 into main
Reviewed-on: Deuxfleurs/garage#494
2023-01-30 11:41:46 +00:00
f9573b6912 Merge pull request 'Fix duplicated content-type in error document' (#493) from baptiste/garage:fix_error_document_content_type into main
Reviewed-on: Deuxfleurs/garage#493
2023-01-30 10:56:35 +00:00
4d3a5f29e0 Merge pull request 'api_server.rs: Adapted to use query string per Caddy upstream change' (#491) from jpds/garage:fix-caddy-ask-domain-query-string into main
Reviewed-on: Deuxfleurs/garage#491
2023-01-30 10:50:47 +00:00
e2173d00a9 Update cargo.nix 2023-01-30 11:47:34 +01:00
Jonathan Davies
9e0567dce4 Cargo.lock: Bump for tokio 1.25.0. 2023-01-30 00:14:03 +00:00
Baptiste Jonglez
e85a200189 Fix duplicated content-type in error document
Fixes #492
2023-01-29 22:51:23 +01:00
Jonathan Davies
9c354f0a8f Improved bucket authorization response strings. 2023-01-29 20:34:41 +00:00
Jonathan Davies
004bb5b4f1 api_server.rs: Adapted to use query string per Caddy upstream change. 2023-01-29 20:34:37 +00:00
Jonathan Davies
0c618f8a89 reverse-proxy.md: Corrected web server ports in Caddy example. 2023-01-27 17:52:51 +00:00
df30f3df4b Merge pull request 'helm chart improvements' (#425) from patrickjahns/garage:helm-improvements into main
Reviewed-on: Deuxfleurs/garage#425
2023-01-27 10:51:04 +00:00
50bce43f25
refactor(helm): use stable as image tag for init container 2023-01-27 00:08:33 +01:00
ac6751f509
doc(helm): removed extra line 2023-01-27 00:08:33 +01:00
b999bb36af
feat(helm): ability to monitor garage via prometheus 2023-01-27 00:08:33 +01:00
d20e8c9256
feat(helm): allow to override the init container image 2023-01-27 00:08:32 +01:00
fd03b184b3
fix(helm): file permission issues when running as non-root user
Specify the user group for the garage (and init) process and ensure
that the persistent storage is mounted with the correct file system
group
2023-01-27 00:08:32 +01:00
da6f7b0dda
feat(helm): ensure that config changes trigger a pod rollout 2023-01-27 00:08:32 +01:00
e17970773a
refactor(helm): removed metadataDir and dataDir config variable
The variables were only templated into the configuration file and
did not change the pod mountpaths, so the variables were not necessary
2023-01-27 00:08:32 +01:00
88b66c69a5
feat(helm): allow to override the default configuration file
Signed-off-by: Patrick Jahns <kontakt@patrickjahns.de>
2023-01-27 00:08:31 +01:00
f2c256cac4 Merge pull request 'Many clippy lints fixed' (#488) from k2v-watch-range-2 into main
Reviewed-on: Deuxfleurs/garage#488
2023-01-26 21:10:21 +00:00
a08e01f17a Merge pull request 'Enable daemonset deployment using the helm chart' (#409) from kaiyou/garage:feat-k8s-daemonset into main
Reviewed-on: Deuxfleurs/garage#409
2023-01-26 21:07:58 +00:00
d6af95d205 fix cli display bug 2023-01-26 17:50:50 +01:00
c56794655e Fix fmt 2023-01-26 17:27:03 +01:00
8e93d69974 More clippy fixes 2023-01-26 17:26:32 +01:00
246f7468cd Merge pull request 'K2V PollRange, version 2' (#471) from k2v-watch-range-2 into main
Reviewed-on: Deuxfleurs/garage#471
2023-01-26 16:19:04 +00:00
3113f6b5f2 more fixes 2023-01-26 17:14:17 +01:00
1dff62564f fix clippy 2023-01-26 17:05:31 +01:00
590a0a8450 Merge branch 'main' into k2v-watch-range-2 2023-01-26 16:46:40 +01:00
611792ddcf Merge pull request 'Report available disk space in garage stats' (#487) from report-disk-usage into main
Reviewed-on: Deuxfleurs/garage#487
2023-01-26 15:40:41 +00:00
94d559ae00 Merge branch 'main' into report-disk-usage 2023-01-26 16:20:41 +01:00
5fb383fe4c Merge pull request 'cargo: Bump dependencies to latest version' (#484) from jpds/garage:cargo-bumps into main
Reviewed-on: Deuxfleurs/garage#484
2023-01-26 15:17:09 +00:00
0da054194b Update Cargo.nix 2023-01-26 14:47:15 +00:00
c7d0ad0aa0 Add local disk usage to exported prometheus metrics 2023-01-26 15:30:36 +01:00
efb6b6e868 Disk space report
Report available disk space on nodes and calculate cluster-wide available space in `garage stats` (fix #479)
2023-01-26 15:04:32 +01:00
f251b4721f Apply nixfmt to all .nix files; fix devshell and add it to cache 2023-01-26 12:25:48 +01:00
Jonathan Davies
3dc655095f db/Cargo.toml: Updated rusqlite from 0.27 to 0.28. 2023-01-26 11:13:11 +00:00
Jonathan Davies
20c1cdf662 Cargo.toml: Loosen tracing dependency to just 0.1. 2023-01-26 11:13:11 +00:00
Jonathan Davies
f952e37ba7 {model,util}/Cargo.toml: Updated blake2 from 0.9 to 0.10. 2023-01-26 11:13:11 +00:00
Jonathan Davies
fbafa76284 {db,util}/Cargo.toml: Updated mktemp from 0.4 to 0.5. 2023-01-26 11:13:11 +00:00
Jonathan Davies
63e22e71f2 api/Cargo.toml: Updated idna from 0.2 to 0.3. 2023-01-26 11:13:11 +00:00
Jonathan Davies
f6eaf3661c garage/Cargo.toml: Updated timeage from 0.3 to 0.4. 2023-01-26 11:13:11 +00:00
Jonathan Davies
d3b2a68988 {garage,util}/Cargo.toml: Updated toml from 0.5 to 0.6. 2023-01-26 11:13:11 +00:00
Jonathan Davies
b4a1a6a32f util/time.rs: Updated deprecated associated function to timestamp_opt(). 2023-01-26 11:13:11 +00:00
Jonathan Davies
bcac889f9a Cargo.toml: Updated clap from 3.1.18 to 4.1. 2023-01-26 11:13:11 +00:00
Jonathan Davies
9e08a05e69 k2v-client/Cargo.toml: Loosen dependencies. 2023-01-26 11:13:11 +00:00
Jonathan Davies
69497be5c6 Cargo.lock: Ran cargo update. 2023-01-26 11:13:11 +00:00
Jonathan Davies
36944f1839 Cargo.toml: Updated base64 from 0.13 to 0.21. 2023-01-26 11:13:07 +00:00
1311742fe0 Merge pull request 'cookbook/real-world.md: Added note about mesh network options.' (#485) from jpds/garage:mesh-networks-note into main
Reviewed-on: Deuxfleurs/garage#485
2023-01-26 10:31:43 +00:00
Jonathan Davies
f2492107d7 cookbook/real-world.md: Added note about mesh network options. 2023-01-25 12:00:01 +00:00
Jonathan Davies
93c3f8fc8c api/Cargo.toml: Updated url from 2.1 to 2.3. 2023-01-23 19:16:58 +00:00
Jonathan Davies
1c435fce09 api/Cargo.toml: Updated httpdate from 0.3 to 1.0. 2023-01-23 19:16:54 +00:00
Jonathan Davies
dead123892 api/Cargo.toml: Updated pin-project to 1.0.12. 2023-01-23 18:39:35 +00:00
Jonathan Davies
5c3075fe01 Cargo.toml: Updated zstd from 0.9 to 0.12. 2023-01-23 18:08:14 +00:00
9adf5ca76d Merge pull request 'Add talk made on 2023-01-18' (#482) from talk-tocatta-2023-01-18 into main
Reviewed-on: Deuxfleurs/garage#482
2023-01-20 11:40:08 +00:00
18bf45061a Merge pull request 'doc: Added observability.md.' (#477) from jpds/garage:observability-doc into main
Reviewed-on: Deuxfleurs/garage#477
2023-01-19 12:34:14 +00:00
aff9c264c8 Merge pull request 'Implemented website hosting authorization endpoint.' (#474) from jpds/garage:bucket-serving-validator into main
Reviewed-on: Deuxfleurs/garage#474
2023-01-19 12:33:16 +00:00
3250be7c48 Update tocatta talk, add talks shell.nix and .envrc 2023-01-18 15:25:04 +01:00
fcc5033466 Change some integer types to int64
Modified integer types representing byte or object count to int64 to prevent overflow.
2023-01-16 23:57:23 -08:00
Jonathan Davies
97bb110219 doc: Added observability.md. 2023-01-13 14:32:10 +00:00
0010f705ef
Talk for 2023-01-18 pretty much finished 2023-01-13 15:28:17 +01:00
065d6e1e06
Talk about K2V specifics 2023-01-13 13:51:39 +01:00
d44e8366e7
Reorder and add a hard problem 2023-01-13 13:16:55 +01:00
cbb522e179
Different lattice figures 2023-01-13 12:33:27 +01:00
f5746a46f9 Merge pull request 'Add docs about running pict-rs with garage' (#475) from kaiyou/garage:docs-apps into main
Reviewed-on: Deuxfleurs/garage#475
2023-01-13 10:45:29 +00:00
Jonathan Davies
4962b88f8b tests/s3/website.rs: Added website hosting authorization check tests. 2023-01-13 09:39:02 +00:00
Jonathan Davies
100b01e859 Implemented website hosting authorization endpoint.
Fixes: #468
2023-01-13 09:38:58 +00:00
9bf94faaa1 Add docs about running pict-rs with garage 2023-01-12 20:46:17 +01:00
1f5e3aaf8e
Add explanations about quorums 2023-01-12 17:39:12 +01:00
f5a7bc3736
Add 12 lattice diagrams to explain CRDTs and quorums 2023-01-12 17:17:13 +01:00
fe850f62c9
Talk 2023-01-18: some WIP talking about consensus 2023-01-12 16:27:02 +01:00
7416ba97ef
Talk 2023-01-18 WIP 2023-01-12 13:25:09 +01:00
dac254a6e7
Merge branch 'main' into k2v-watch-range-2 2023-01-11 17:09:37 +01:00
94d723f27c Merge pull request 'Implement rpc_secret_file' (#466) from felix.scheinost/garage:feature/implement-rpc-secret-file into main
Reviewed-on: Deuxfleurs/garage#466
2023-01-11 16:04:35 +00:00
be6b8f419d Merge pull request 'Implemented system metrics' (#472) from jpds/garage:system-metrics into main
Reviewed-on: Deuxfleurs/garage#472
Reviewed-by: Alex <alex@adnab.me>
2023-01-11 16:00:31 +00:00
638c5a3ce0
PollRange: add extra RPC delay after quorum is achieved,
to give a chance to the 3rd node to respond
2023-01-11 16:12:07 +01:00
399f137fd0
add precision in pollrange doc 2023-01-11 15:19:51 +01:00
5b5ca63cf6
Poll cleanup 2023-01-11 15:17:27 +01:00
cbfae673e8
PollRange & PollItem: min timeout = 1 sec 2023-01-11 15:03:08 +01:00
bba13f40fc
Correctly return bad requests when seeh marker is invalid 2023-01-11 12:27:19 +01:00
ba384e61c0
PollRange: return immediately if no seen marker is provided 2023-01-11 12:03:17 +01:00
09a3dad0f2
Lock once for insert_many 2023-01-11 11:35:36 +01:00
32aab06929
k2v-client libary poll_range and CLI poll-range 2023-01-11 11:14:29 +01:00
de1111076b
PollRange integration test 2023-01-11 10:04:41 +01:00
b83517d521
Implement PollRange API endpoint 2023-01-10 15:22:25 +01:00
57eabe7879
Add proposal spec for PollRange API endpoint 2023-01-10 15:22:11 +01:00
43fd6c1526
PollRange RPC 2023-01-10 12:54:24 +01:00
789540ca37
Type definition for range seen marker 2023-01-10 11:59:57 +01:00
Jonathan Davies
4cfb469d2b block/metrics.rs: Added compression_level metric. 2023-01-10 10:40:03 +00:00
Jonathan Davies
df1d9a9873 system.rs: Integrated SystemMetrics into System implementation. 2023-01-10 10:39:50 +00:00
Jonathan Davies
aac348fe93 Added system_metrics.rs file. 2023-01-10 10:38:50 +00:00
9f5419f465
Make K2V item timestamps globally increasing on each node 2023-01-10 11:03:52 +01:00
a48e2e0cb2
K2V: Subscription to ranges of items 2023-01-10 10:30:59 +01:00
d6ea0cbefa Add tests for rpc_secret_file 2023-01-07 14:19:36 +01:00
7b62fe3f0b Error on both rpc_secret and rpc_secret_file 2023-01-07 13:49:03 +01:00
f2106c2733 Implement rpc_secret_file 2023-01-04 18:35:10 +01:00
559e924cc2 Bump the helm chart version 2022-12-25 13:33:44 +01:00
e852c91d18 Fix documentation based on new deployment values 2022-12-25 13:30:14 +01:00
e9b0068079 Set hostPath type for volumes 2022-12-25 13:30:14 +01:00
49a138b670 Fix volume handling and persistence flag 2022-12-25 13:30:14 +01:00
e94d6f78d7 Enable daemonset deployment using the helm chart
DaemonSet is a k8s resource that schedules one instance per node,
which is useful for some garage deployment use cases, including
managing garage nodes using k8s node labels
2022-12-25 13:30:14 +01:00
308 changed files with 50379 additions and 6814 deletions

1
.envrc Normal file
View file

@ -0,0 +1 @@
use flake

1
.gitignore vendored
View file

@ -3,3 +3,4 @@
/pki
**/*.rs.bk
*.swp
/.direnv

2471
Cargo.lock generated

File diff suppressed because it is too large Load diff

5106
Cargo.nix

File diff suppressed because it is too large Load diff

View file

@ -11,10 +11,23 @@ members = [
"src/web",
"src/garage",
"src/k2v-client",
"src/format-table",
]
default-members = ["src/garage"]
[workspace.dependencies]
format_table = { version = "0.1.1", path = "src/format-table" }
garage_api = { version = "0.8.4", path = "src/api" }
garage_block = { version = "0.8.4", path = "src/block" }
garage_db = { version = "0.8.4", path = "src/db", default-features = false }
garage_model = { version = "0.8.4", path = "src/model", default-features = false }
garage_rpc = { version = "0.8.4", path = "src/rpc" }
garage_table = { version = "0.8.4", path = "src/table" }
garage_util = { version = "0.8.4", path = "src/util" }
garage_web = { version = "0.8.4", path = "src/web" }
k2v-client = { version = "0.0.4", path = "src/k2v-client" }
[profile.dev]
lto = "off"

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;
@ -13,21 +10,20 @@ 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 {
test = (rustPkgs:
pkgs.symlinkJoin {
name = "garage-tests";
paths = builtins.map (key: rustPkgs.workspace.${key} { compileMode = "test"; }) (builtins.attrNames rustPkgs.workspace);
paths =
builtins.map (key: rustPkgs.workspace.${key} { compileMode = "test"; })
(builtins.attrNames rustPkgs.workspace);
});
in {
@ -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

@ -632,7 +632,7 @@ paths:
operationId: "UpdateBucket"
summary: "Update a bucket"
description: |
All fields (`websiteAccess` and `quotas`) are optionnal.
All fields (`websiteAccess` and `quotas`) are optional.
If they are present, the corresponding modifications are applied to the bucket, otherwise nothing is changed.
In `websiteAccess`: if `enabled` is `true`, `indexDocument` must be specified.
@ -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

@ -1,6 +1,6 @@
+++
title = "Build your own app"
weight = 4
weight = 40
sort_by = "weight"
template = "documentation.html"
+++

View file

@ -1,6 +1,6 @@
+++
title = "Existing integrations"
weight = 3
weight = 30
sort_by = "weight"
template = "documentation.html"
+++
@ -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

@ -11,9 +11,10 @@ In this section, we cover the following web applications:
| [Peertube](#peertube) | ✅ | Supported with the website endpoint, proxifying private videos unsupported |
| [Mastodon](#mastodon) | ✅ | Natively supported |
| [Matrix](#matrix) | ✅ | Tested with `synapse-s3-storage-provider` |
| [ejabberd](#ejabberd) | ✅ | `mod_s3_upload` |
| [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 |
@ -474,6 +475,52 @@ And add a new line. For example, to run it every 10 minutes:
*External link:* [matrix-media-repo Documentation > S3](https://docs.t2bot.io/matrix-media-repo/configuration/s3-datastore.html)
## ejabberd
ejabberd is an XMPP server implementation which, with the `mod_s3_upload`
module in the [ejabberd-contrib](https://github.com/processone/ejabberd-contrib)
repository, can be integrated to store chat media files in Garage.
For uploads, this module leverages presigned URLs - this allows XMPP clients to
directly send media to Garage. Receiving clients then retrieve this media
through the [static website](@/documentation/cookbook/exposing-websites.md)
functionality.
As the data itself is publicly accessible to someone with knowledge of the
object URL - users are recommended to use
[E2EE](@/documentation/cookbook/encryption.md) to protect this data-at-rest
from unauthorized access.
Install the module with:
```bash
ejabberdctl module_install mod_s3_upload
```
Create the required key and bucket with:
```bash
garage key new --name ejabberd
garage bucket create objects.xmpp-server.fr
garage bucket allow objects.xmpp-server.fr --read --write --key ejabberd
garage bucket website --allow objects.xmpp-server.fr
```
The module can then be configured with:
```
mod_s3_upload:
#bucket_url: https://objects.xmpp-server.fr.my-garage-instance.mydomain.tld
bucket_url: https://my-garage-instance.mydomain.tld/objects.xmpp-server.fr
access_key_id: GK...
access_key_secret: ...
region: garage
download_url: https://objects.xmpp-server.fr
```
Other configuration options can be found in the
[configuration YAML file](https://github.com/processone/ejabberd-contrib/blob/master/mod_s3_upload/conf/mod_s3_upload.yml).
## Pixelfed
[Pixelfed Technical Documentation > Configuration](https://docs.pixelfed.org/technical-documentation/env.html#filesystem)
@ -484,7 +531,68 @@ 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

@ -13,7 +13,41 @@ Borg Backup is very popular among the backup tools but it is not yet compatible
We recommend using any other tool listed in this guide because they are all compatible with the S3 API.
If you still want to use Borg, you can use it with `rclone mount`.
## git-annex
[git-annex](https://git-annex.branchable.com/) supports synchronizing files
with its [S3 special remote](https://git-annex.branchable.com/special_remotes/S3/).
Note that `git-annex` requires to be compiled with Haskell package version
`aws-0.24` to work with Garage.
```bash
garage key new --name my-key
garage bucket create my-git-annex
garage bucket allow my-git-annex --read --write --key my-key
```
Register your Key ID and Secret key in your environment:
```bash
export AWS_ACCESS_KEY_ID=GKxxx
export AWS_SECRET_ACCESS_KEY=xxxx
```
Within a git-annex enabled repository, configure your Garage S3 endpoint with
the following command:
```bash
git annex initremote garage type=S3 encryption=none host=my-garage-instance.mydomain.tld protocol=https bucket=my-git-annex requeststyle=path region=garage signature=v4
```
Files can now be synchronized using the usual `git-annex` `copy` or `get`
commands.
Note that for simplicity - this example does not enable encryption for the files
sent to Garage - please refer to the
[git-annex encryption page](https://git-annex.branchable.com/encryption/) for
how to configure this.
## Restic
@ -71,6 +105,7 @@ restic restore 79766175 --target /var/lib/postgresql
Restic has way more features than the ones presented here.
You can discover all of them by accessing its documentation from the link below.
Files on Android devices can also be backed up with [restic-android](https://github.com/lhns/restic-android).
*External links:* [Restic Documentation > Amazon S3](https://restic.readthedocs.io/en/stable/030_preparing_a_new_repo.html#amazon-s3)

View file

@ -12,6 +12,7 @@ These tools are particularly suitable for debug, backups, website deployments or
| [AWS CLI](#aws-cli) | ✅ | Recommended |
| [rclone](#rclone) | ✅ | |
| [s3cmd](#s3cmd) | ✅ | |
| [s5cmd](#s5cmd) | ✅ | |
| [(Cyber)duck](#cyberduck) | ✅ | |
| [WinSCP (libs3)](#winscp) | ✅ | CLI instructions only |
| [sftpgo](#sftpgo) | ✅ | |
@ -178,59 +179,34 @@ s3cmd put /tmp/hello.txt s3://my-bucket/
s3cmd get s3://my-bucket/hello.txt hello.txt
```
## `s5cmd`
Configure a credentials file as follows:
```bash
export AWS_ACCESS_KEY_ID=GK...
export AWS_SECRET_ACCESS_KEY=
export AWS_DEFAULT_REGION='garage'
export AWS_ENDPOINT='http://localhost:3900'
```
After adding these environment variables in your shell, `s5cmd` can be used
with:
```bash
s5cmd --endpoint-url=$AWS_ENDPOINT ls
```
See its usage output for other commands available.
## Cyberduck & duck {#cyberduck}
Both Cyberduck (the GUI) and duck (the CLI) have a concept of "Connection Profiles" that contain some presets for a specific provider.
We wrote the following connection profile for Garage:
```xml
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
<plist version="1.0">
<dict>
<key>Protocol</key>
<string>s3</string>
<key>Vendor</key>
<string>garage</string>
<key>Scheme</key>
<string>https</string>
<key>Description</key>
<string>GarageS3</string>
<key>Default Hostname</key>
<string>127.0.0.1</string>
<key>Default Port</key>
<string>4443</string>
<key>Hostname Configurable</key>
<false/>
<key>Port Configurable</key>
<false/>
<key>Username Configurable</key>
<true/>
<key>Username Placeholder</key>
<string>Access Key ID (GK...)</string>
<key>Password Placeholder</key>
<string>Secret Key</string>
<key>Properties</key>
<array>
<string>s3service.disable-dns-buckets=true</string>
</array>
<key>Region</key>
<string>garage</string>
<key>Regions</key>
<array>
<string>garage</string>
</array>
</dict>
</plist>
```
*Note: If your garage instance is configured with vhost access style, you can remove `s3service.disable-dns-buckets=true`.*
### Instructions for the GUI
Copy the connection profile, and save it anywhere as `garage.cyberduckprofile`.
Then find this file with your file explorer and double click on it: Cyberduck will open a connection wizard for this profile.
Simply follow the wizard and you should be done!
Within Cyberduck, a
[Garage connection profile](https://docs.cyberduck.io/protocols/s3/garage/) is
available within the `Preferences -> Profiles` section. This can enabled and
then connections to Garage may be configured.
### Instuctions for the CLI

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

@ -1,12 +1,12 @@
+++
title="Cookbook"
template = "documentation.html"
weight = 2
weight = 20
sort_by = "weight"
+++
A cookbook, when you cook, is a collection of recipes.
Similarly, Garage's cookbook contains a collection of recipes that are known to works well!
Similarly, Garage's cookbook contains a collection of recipes that are known to work well!
This chapter could also be referred as "Tutorials" or "Best practices".
- **[Multi-node deployment](@/documentation/cookbook/real-world.md):** This page will walk you through all of the necessary
@ -16,6 +16,10 @@ This chapter could also be referred as "Tutorials" or "Best practices".
source in case a binary is not provided for your architecture, or if you want to
hack with us!
- **[Binary packages](@/documentation/cookbook/binary-packages.md):** This page
lists the different platforms that provide ready-built software packages for
Garage.
- **[Integration with Systemd](@/documentation/cookbook/systemd.md):** This page explains how to run Garage
as a Systemd service (instead of as a Docker container).
@ -26,6 +30,10 @@ This chapter could also be referred as "Tutorials" or "Best practices".
- **[Configuring a reverse-proxy](@/documentation/cookbook/reverse-proxy.md):** This page explains how to configure a reverse-proxy to add TLS support to your S3 api endpoint.
- **[Recovering from failures](@/documentation/cookbook/recovering.md):** Garage's first selling point is resilience
to hardware failures. This section explains how to recover from such a failure in the
best possible way.
- **[Deploying on Kubernetes](@/documentation/cookbook/kubernetes.md):** This page explains how to deploy Garage on Kubernetes using our Helm chart.
- **[Deploying with Ansible](@/documentation/cookbook/ansible.md):** This page lists available Ansible roles developed by the community to deploy Garage.
- **[Monitoring Garage](@/documentation/cookbook/monitoring.md)** This page
explains the Prometheus metrics available for monitoring the Garage
cluster/nodes.

View file

@ -0,0 +1,51 @@
+++
title = "Deploying with Ansible"
weight = 35
+++
While Ansible is not officially supported to deploy Garage, several community members
have published Ansible roles. We list them and compare them below.
## Comparison of Ansible roles
| Feature | [ansible-role-garage](#zorun-ansible-role-garage) | [garage-docker-ansible-deploy](#moan0s-garage-docker-ansible-deploy) |
|------------------------------------|---------------------------------------------|---------------------------------------------------------------|
| **Runtime** | Systemd | Docker |
| **Target OS** | Any Linux | Any Linux |
| **Architecture** | amd64, arm64, i686 | amd64, arm64 |
| **Additional software** | None | Traefik |
| **Automatic node connection** | ❌ | ✅ |
| **Layout management** | ❌ | ✅ |
| **Manage buckets & keys** | ❌ | ✅ (basic) |
| **Allow custom Garage config** | ✅ | ❌ |
| **Facilitate Garage upgrades** | ✅ | ❌ |
| **Multiple instances on one host** | ✅ | ✅ |
## zorun/ansible-role-garage
[Source code](https://github.com/zorun/ansible-role-garage), [Ansible galaxy](https://galaxy.ansible.com/zorun/garage)
This role is voluntarily simple: it relies on the official Garage static
binaries and only requires Systemd. As such, it should work on any
Linux-based OS.
To make things more flexible, the user has to provide a Garage
configuration template. This allows to customize Garage configuration in
any way.
Some more features might be added, such as a way to automatically connect
nodes to each other or to define a layout.
## moan0s/garage-docker-ansible-deploy
[Source code](https://github.com/moan0s/garage-docker-ansible-deploy), [Blog post](https://hyteck.de/post/garage/)
This role is based on the Docker image for Garage, and comes with
"batteries included": it will additionally install Docker and Traefik. In
addition, it is "opinionated" in the sense that it expects a particular
deployment structure (one instance per disk, one gateway per host,
structured DNS names, etc).
As a result, this role makes it easier to start with Garage on Ansible,
but is less flexible.

View file

@ -0,0 +1,41 @@
+++
title = "Binary packages"
weight = 11
+++
Garage is also available in binary packages on:
## Alpine Linux
If you use Alpine Linux, you can simply install the
[garage](https://pkgs.alpinelinux.org/packages?name=garage) package from the
Alpine Linux repositories (available since v3.17):
```bash
apk add garage
```
The default configuration file is installed to `/etc/garage.toml`. You can run
Garage using: `rc-service garage start`. If you don't specify `rpc_secret`, it
will be automatically replaced with a random string on the first start.
Please note that this package is built without Consul discovery, Kubernetes
discovery, OpenTelemetry exporter, and K2V features (K2V will be enabled once
it's stable).
## Arch Linux
Garage is available in the [AUR](https://aur.archlinux.org/packages/garage).
## FreeBSD
```bash
pkg install garage
```
## NixOS
```bash
nix-shell -p garage
```

View file

@ -0,0 +1,116 @@
+++
title = "Encryption"
weight = 50
+++
Encryption is a recurring subject when discussing Garage.
Garage does not handle data encryption by itself, but many things can
already be done with Garage's current feature set and the existing ecosystem.
This page takes a high level approach to security in general and data encryption
in particular.
# Examining your need for encryption
- Why do you want encryption in Garage?
- What is your threat model? What are you fearing?
- A stolen HDD?
- A curious administrator?
- A malicious administrator?
- A remote attacker?
- etc.
- What services do you want to protect with encryption?
- An existing application? Which one? (eg. Nextcloud)
- An application that you are writing
- Any expertise you may have on the subject
This page explains what Garage provides, and how you can improve the situation by yourself
by adding encryption at different levels.
We would be very curious to know your needs and thougs about ideas such as
encryption practices and things like key management, as we want Garage to be a
serious base platform for the developpment of secure, encrypted applications.
Do not hesitate to come talk to us if you have any thoughts or questions on the
subject.
# Capabilities provided by Garage
## Traffic is encrypted between Garage nodes
RPCs between Garage nodes are encrypted. More specifically, contrary to many
distributed software, it is impossible in Garage to have clear-text RPC. We
use the [kuska handshake](https://github.com/Kuska-ssb/handshake) library which
implements a protocol that has been clearly reviewed, Secure ScuttleButt's
Secret Handshake protocol. This is why setting a `rpc_secret` is mandatory,
and that's also why your nodes have super long identifiers.
## HTTP API endpoints provided by Garage are in clear text
Adding TLS support built into Garage is not currently planned.
## Garage stores data in plain text on the filesystem
Garage does not handle data encryption at rest by itself, and instead delegates
to the user to add encryption, either at the storage layer (LUKS, etc) or on
the client side (or both). There are no current plans to add data encryption
directly in Garage.
Implementing data encryption directly in Garage might make things simpler for
end users, but also raises many more questions, especially around key
management: for encryption of data, where could Garage get the encryption keys
from ? If we encrypt data but keep the keys in a plaintext file next to them,
it's useless. We probably don't want to have to manage secrets in garage as it
would be very hard to do in a secure way. Maybe integrate with an external
system such as Hashicorp Vault?
# Adding data encryption using external tools
## Encrypting traffic between a Garage node and your client
You have multiple options to have encryption between your client and a node:
- Setup a reverse proxy with TLS / ACME / Let's encrypt
- Setup a Garage gateway locally, and only contact the garage daemon on `localhost`
- Only contact your Garage daemon over a secure, encrypted overlay network such as Wireguard
## Encrypting data at rest
Protects against the following threats:
- Stolen HDD
Crucially, does not protect againt malicious sysadmins or remote attackers that
might gain access to your servers.
Methods include full-disk encryption with tools such as LUKS.
## Encrypting data on the client side
Protects againt the following threats:
- A honest-but-curious administrator
- A malicious administrator that tries to corrupt your data
- A remote attacker that can read your server's data
Implementations are very specific to the various applications. Examples:
- Matrix: uses the OLM protocol for E2EE of user messages. Media files stored
in Matrix are probably encrypted using symmetric encryption, with a key that is
distributed in the end-to-end encrypted message that contains the link to the object.
- XMPP: clients normally support either OMEMO / OpenPGP for the E2EE of user
messages. Media files are encrypted per
[XEP-0454](https://xmpp.org/extensions/xep-0454.html).
- Aerogramme: use the user's password as a key to decrypt data in the user's bucket
- Cyberduck: comes with support for
[Cryptomator](https://docs.cyberduck.io/cryptomator/) which allows users to
create client-side vaults to encrypt files in before they are uploaded to a
cloud storage endpoint.

View file

@ -21,7 +21,7 @@ You can configure Garage as a gateway on all nodes that will consume your S3 API
The instructions are similar to a regular node, the only option that is different is while configuring the node, you must set the `--gateway` parameter:
```bash
garage layout assign --gateway --tag gw1 <node_id>
garage layout assign --gateway --tag gw1 -z dc1 <node_id>
garage layout show # review the changes you are making
garage layout apply # once satisfied, apply the changes
```

View file

@ -48,6 +48,7 @@ garage:
replicationMode: "2"
# Start 4 instances (StatefulSets) of garage
deployment:
replicaCount: 4
# Override default storage class and size

View file

@ -49,258 +49,5 @@ add the following lines in your Prometheus scrape config:
To visualize the scraped data in Grafana,
you can either import our [Grafana dashboard for Garage](https://git.deuxfleurs.fr/Deuxfleurs/garage/raw/branch/main/script/telemetry/grafana-garage-dashboard-prometheus.json)
or make your own.
We detail below the list of exposed metrics and their meaning.
## List of exported metrics
### Metrics of the API endpoints
#### `api_admin_request_counter` (counter)
Counts the number of requests to a given endpoint of the administration API. Example:
```
api_admin_request_counter{api_endpoint="Metrics"} 127041
```
#### `api_admin_request_duration` (histogram)
Evaluates the duration of API calls to the various administration API endpoint. Example:
```
api_admin_request_duration_bucket{api_endpoint="Metrics",le="0.5"} 127041
api_admin_request_duration_sum{api_endpoint="Metrics"} 605.250344830999
api_admin_request_duration_count{api_endpoint="Metrics"} 127041
```
#### `api_s3_request_counter` (counter)
Counts the number of requests to a given endpoint of the S3 API. Example:
```
api_s3_request_counter{api_endpoint="CreateMultipartUpload"} 1
```
#### `api_s3_error_counter` (counter)
Counts the number of requests to a given endpoint of the S3 API that returned an error. Example:
```
api_s3_error_counter{api_endpoint="GetObject",status_code="404"} 39
```
#### `api_s3_request_duration` (histogram)
Evaluates the duration of API calls to the various S3 API endpoints. Example:
```
api_s3_request_duration_bucket{api_endpoint="CreateMultipartUpload",le="0.5"} 1
api_s3_request_duration_sum{api_endpoint="CreateMultipartUpload"} 0.046340762
api_s3_request_duration_count{api_endpoint="CreateMultipartUpload"} 1
```
#### `api_k2v_request_counter` (counter), `api_k2v_error_counter` (counter), `api_k2v_error_duration` (histogram)
Same as for S3, for the K2V API.
### Metrics of the Web endpoint
#### `web_request_counter` (counter)
Number of requests to the web endpoint
```
web_request_counter{method="GET"} 80
```
#### `web_request_duration` (histogram)
Duration of requests to the web endpoint
```
web_request_duration_bucket{method="GET",le="0.5"} 80
web_request_duration_sum{method="GET"} 1.0528433229999998
web_request_duration_count{method="GET"} 80
```
#### `web_error_counter` (counter)
Number of requests to the web endpoint resulting in errors
```
web_error_counter{method="GET",status_code="404 Not Found"} 64
```
### Metrics of the data block manager
#### `block_bytes_read`, `block_bytes_written` (counter)
Number of bytes read/written to/from disk in the data storage directory.
```
block_bytes_read 120586322022
block_bytes_written 3386618077
```
#### `block_read_duration`, `block_write_duration` (histograms)
Evaluates the duration of the reading/writing of individual data blocks in the data storage directory.
```
block_read_duration_bucket{le="0.5"} 169229
block_read_duration_sum 2761.6902550310056
block_read_duration_count 169240
block_write_duration_bucket{le="0.5"} 3559
block_write_duration_sum 195.59170078500006
block_write_duration_count 3571
```
#### `block_delete_counter` (counter)
Counts the number of data blocks that have been deleted from storage.
```
block_delete_counter 122
```
#### `block_resync_counter` (counter), `block_resync_duration` (histogram)
Counts the number of resync operations the node has executed, and evaluates their duration.
```
block_resync_counter 308897
block_resync_duration_bucket{le="0.5"} 308892
block_resync_duration_sum 139.64204196100016
block_resync_duration_count 308897
```
#### `block_resync_queue_length` (gauge)
The number of block hashes currently queued for a resync.
This is normal to be nonzero for long periods of time.
```
block_resync_queue_length 0
```
#### `block_resync_errored_blocks` (gauge)
The number of block hashes that we were unable to resync last time we tried.
**THIS SHOULD BE ZERO, OR FALL BACK TO ZERO RAPIDLY, IN A HEALTHY CLUSTER.**
Persistent nonzero values indicate that some data is likely to be lost.
```
block_resync_errored_blocks 0
```
### Metrics related to RPCs (remote procedure calls) between nodes
#### `rpc_netapp_request_counter` (counter)
Number of RPC requests emitted
```
rpc_request_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 176
```
#### `rpc_netapp_error_counter` (counter)
Number of communication errors (errors in the Netapp library, generally due to disconnected nodes)
```
rpc_netapp_error_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 354
```
#### `rpc_timeout_counter` (counter)
Number of RPC timeouts, should be close to zero in a healthy cluster.
```
rpc_timeout_counter{from="<this node>",rpc_endpoint="garage_rpc/membership.rs/SystemRpc",to="<remote node>"} 1
```
#### `rpc_duration` (histogram)
The duration of internal RPC calls between Garage nodes.
```
rpc_duration_bucket{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>",le="0.5"} 166
rpc_duration_sum{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 35.172253716
rpc_duration_count{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 174
```
### Metrics of the metadata table manager
#### `table_gc_todo_queue_length` (gauge)
Table garbage collector TODO queue length
```
table_gc_todo_queue_length{table_name="block_ref"} 0
```
#### `table_get_request_counter` (counter), `table_get_request_duration` (histogram)
Number of get/get_range requests internally made on each table, and their duration.
```
table_get_request_counter{table_name="bucket_alias"} 315
table_get_request_duration_bucket{table_name="bucket_alias",le="0.5"} 315
table_get_request_duration_sum{table_name="bucket_alias"} 0.048509778000000024
table_get_request_duration_count{table_name="bucket_alias"} 315
```
#### `table_put_request_counter` (counter), `table_put_request_duration` (histogram)
Number of insert/insert_many requests internally made on this table, and their duration
```
table_put_request_counter{table_name="block_ref"} 677
table_put_request_duration_bucket{table_name="block_ref",le="0.5"} 677
table_put_request_duration_sum{table_name="block_ref"} 61.617528636
table_put_request_duration_count{table_name="block_ref"} 677
```
#### `table_internal_delete_counter` (counter)
Number of value deletions in the tree (due to GC or repartitioning)
```
table_internal_delete_counter{table_name="block_ref"} 2296
```
#### `table_internal_update_counter` (counter)
Number of value updates where the value actually changes (includes creation of new key and update of existing key)
```
table_internal_update_counter{table_name="block_ref"} 5996
```
#### `table_merkle_updater_todo_queue_length` (gauge)
Merkle tree updater TODO queue length (should fall to zero rapidly)
```
table_merkle_updater_todo_queue_length{table_name="block_ref"} 0
```
#### `table_sync_items_received`, `table_sync_items_sent` (counters)
Number of data items sent to/recieved from other nodes during resync procedures
```
table_sync_items_received{from="<remote node>",table_name="bucket_v2"} 3
table_sync_items_sent{table_name="block_ref",to="<remote node>"} 2
```
The list of exported metrics is available on our [dedicated page](@/documentation/reference-manual/monitoring.md) in the Reference manual section.

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).
@ -193,6 +197,12 @@ The `garage` binary has two purposes:
Ensure an appropriate `garage` binary (the same version as your Docker image) is available in your path.
If your configuration file is at `/etc/garage.toml`, the `garage` binary should work with no further change.
You can also use an alias as follows to use the Garage binary inside your docker container:
```bash
alias garage="docker exec -ti <container name> /garage"
```
You can test your `garage` CLI utility by running a simple command such as:
```bash
@ -335,7 +345,7 @@ garage layout apply
```
**WARNING:** if you want to use the layout modification commands in a script,
make sure to read [this page](@/documentation/reference-manual/layout.md) first.
make sure to read [this page](@/documentation/operations/layout.md) first.
## Using your Garage cluster
@ -345,5 +355,5 @@ and is covered in the [quick start guide](@/documentation/quick-start/_index.md)
Remember also that the CLI is self-documented thanks to the `--help` flag and
the `help` subcommand (e.g. `garage help`, `garage key --help`).
Configuring S3-compatible applicatiosn to interact with Garage
Configuring S3-compatible applications to interact with Garage
is covered in the [Integrations](@/documentation/connect/_index.md) section.

View file

@ -168,40 +168,65 @@ Here is [a basic configuration file](https://doc.traefik.io/traefik/https/acme/#
### Add Garage service
To add Garage on Traefik you should declare a new service using its IP address (or hostname) and port:
To add Garage on Traefik you should declare two new services using its IP
address (or hostname) and port, these are used for the S3, and web components
of Garage:
```toml
[http.services]
[http.services.my_garage_service.loadBalancer]
[[http.services.my_garage_service.loadBalancer.servers]]
[http.services.garage-s3-service.loadBalancer]
[[http.services.garage-s3-service.loadBalancer.servers]]
url = "http://xxx.xxx.xxx.xxx"
port = 3900
[http.services.garage-web-service.loadBalancer]
[[http.services.garage-web-service.loadBalancer.servers]]
url = "http://xxx.xxx.xxx.xxx"
port = 3902
```
It's possible to declare multiple Garage servers as back-ends:
```toml
[http.services]
[[http.services.my_garage_service.loadBalancer.servers]]
[[http.services.garage-s3-service.loadBalancer.servers]]
url = "http://xxx.xxx.xxx.xxx"
port = 3900
[[http.services.my_garage_service.loadBalancer.servers]]
[[http.services.garage-s3-service.loadBalancer.servers]]
url = "http://yyy.yyy.yyy.yyy"
port = 3900
[[http.services.my_garage_service.loadBalancer.servers]]
[[http.services.garage-s3-service.loadBalancer.servers]]
url = "http://zzz.zzz.zzz.zzz"
port = 3900
[[http.services.garage-web-service.loadBalancer.servers]]
url = "http://xxx.xxx.xxx.xxx"
port = 3902
[[http.services.garage-web-service.loadBalancer.servers]]
url = "http://yyy.yyy.yyy.yyy"
port = 3902
[[http.services.garage-web-service.loadBalancer.servers]]
url = "http://zzz.zzz.zzz.zzz"
port = 3902
```
Traefik can remove unhealthy servers automatically with [a health check configuration](https://doc.traefik.io/traefik/routing/services/#health-check):
```
[http.services]
[http.services.my_garage_service.loadBalancer]
[http.services.my_garage_service.loadBalancer.healthCheck]
path = "/"
interval = "60s"
timeout = "5s"
[http.services.garage-s3-service.loadBalancer]
[http.services.garage-s3-service.loadBalancer.healthCheck]
path = "/health"
port = "3903"
#interval = "15s"
#timeout = "2s"
[http.services.garage-web-service.loadBalancer]
[http.services.garage-web-service.loadBalancer.healthCheck]
path = "/health"
port = "3903"
#interval = "15s"
#timeout = "2s"
```
### Adding a website
@ -210,10 +235,15 @@ To add a new website, add the following declaration to your Traefik configuratio
```toml
[http.routers]
[http.routers.garage-s3]
rule = "Host(`s3.example.org`)"
service = "garage-s3-service"
entryPoints = ["websecure"]
[http.routers.my_website]
rule = "Host(`yoururl.example.org`)"
service = "my_garage_service"
entryPoints = ["web"]
service = "garage-web-service"
entryPoints = ["websecure"]
```
Enable HTTPS access to your website with the following configuration section ([documentation](https://doc.traefik.io/traefik/https/overview/)):
@ -226,7 +256,7 @@ Enable HTTPS access to your website with the following configuration section ([d
...
```
### Adding gzip compression
### Adding compression
Add the following configuration section [to compress response](https://doc.traefik.io/traefik/middlewares/http/compress/) using [gzip](https://developer.mozilla.org/en-US/docs/Glossary/GZip_compression) before sending them to the client:
@ -234,10 +264,10 @@ Add the following configuration section [to compress response](https://doc.traef
[http.routers]
[http.routers.my_website]
...
middlewares = ["gzip_compress"]
middlewares = ["compression"]
...
[http.middlewares]
[http.middlewares.gzip_compress.compress]
[http.middlewares.compression.compress]
```
### Add caching response
@ -262,27 +292,54 @@ Traefik's caching middleware is only available on [entreprise version](https://d
entryPoint = "web"
[http.routers]
[http.routers.garage-s3]
rule = "Host(`s3.example.org`)"
service = "garage-s3-service"
entryPoints = ["websecure"]
[http.routers.my_website]
rule = "Host(`yoururl.example.org`)"
service = "my_garage_service"
middlewares = ["gzip_compress"]
service = "garage-web-service"
middlewares = ["compression"]
entryPoints = ["websecure"]
[http.services]
[http.services.my_garage_service.loadBalancer]
[http.services.my_garage_service.loadBalancer.healthCheck]
path = "/"
interval = "60s"
timeout = "5s"
[[http.services.my_garage_service.loadBalancer.servers]]
[http.services.garage-s3-service.loadBalancer]
[http.services.garage-s3-service.loadBalancer.healthCheck]
path = "/health"
port = "3903"
#interval = "15s"
#timeout = "2s"
[http.services.garage-web-service.loadBalancer]
[http.services.garage-web-service.loadBalancer.healthCheck]
path = "/health"
port = "3903"
#interval = "15s"
#timeout = "2s"
[[http.services.garage-s3-service.loadBalancer.servers]]
url = "http://xxx.xxx.xxx.xxx"
[[http.services.my_garage_service.loadBalancer.servers]]
port = 3900
[[http.services.garage-s3-service.loadBalancer.servers]]
url = "http://yyy.yyy.yyy.yyy"
[[http.services.my_garage_service.loadBalancer.servers]]
port = 3900
[[http.services.garage-s3-service.loadBalancer.servers]]
url = "http://zzz.zzz.zzz.zzz"
port = 3900
[[http.services.garage-web-service.loadBalancer.servers]]
url = "http://xxx.xxx.xxx.xxx"
port = 3902
[[http.services.garage-web-service.loadBalancer.servers]]
url = "http://yyy.yyy.yyy.yyy"
port = 3902
[[http.services.garage-web-service.loadBalancer.servers]]
url = "http://zzz.zzz.zzz.zzz"
port = 3902
[http.middlewares]
[http.middlewares.gzip_compress.compress]
[http.middlewares.compression.compress]
```
## Caddy
@ -291,18 +348,127 @@ Your Caddy configuration can be as simple as:
```caddy
s3.garage.tld, *.s3.garage.tld {
reverse_proxy localhost:3900 192.168.1.2:3900 example.tld:3900
reverse_proxy localhost:3900 192.168.1.2:3900 example.tld:3900 {
health_uri /health
health_port 3903
#health_interval 15s
#health_timeout 5s
}
}
*.web.garage.tld {
reverse_proxy localhost:3902 192.168.1.2:3900 example.tld:3900
reverse_proxy localhost:3902 192.168.1.2:3902 example.tld:3902 {
health_uri /health
health_port 3903
#health_interval 15s
#health_timeout 5s
}
}
admin.garage.tld {
reverse_proxy localhost:3903
reverse_proxy localhost:3903 {
health_uri /health
health_port 3903
#health_interval 15s
#health_timeout 5s
}
}
```
But at the same time, the `reverse_proxy` is very flexible.
For a production deployment, you should [read its documentation](https://caddyserver.com/docs/caddyfile/directives/reverse_proxy) as it supports features like DNS discovery of upstreams, load balancing with checks, streaming parameters, etc.
### Caching
Caddy can compiled with a
[cache plugin](https://github.com/caddyserver/cache-handler) which can be used
to provide a hot-cache at the webserver-level for static websites hosted by
Garage.
This can be configured as follows:
```caddy
# Caddy global configuration section
{
# Bare minimum configuration to enable cache.
order cache before rewrite
cache
#cache
# allowed_http_verbs GET
# default_cache_control public
# ttl 8h
#}
}
# Site specific section
https:// {
cache
#cache {
# timeout {
# backend 30s
# }
#}
reverse_proxy ...
}
```
Caching is a complicated subject, and the reader is encouraged to study the
available options provided by the plugin.
### On-demand TLS
Caddy supports a technique called
[on-demand TLS](https://caddyserver.com/docs/automatic-https#on-demand-tls), by
which one can configure the webserver to provision TLS certificates when a
client first connects to it.
In order to prevent an attack vector whereby domains are simply pointed at your
webserver and certificates are requested for them - Caddy can be configured to
ask Garage if a domain is authorized for web hosting, before it then requests
a TLS certificate.
This 'check' endpoint, which is on the admin port (3903 by default), can be
configured in Caddy's global section as follows:
```caddy
{
...
on_demand_tls {
ask http://localhost:3903/check
interval 2m
burst 5
}
...
}
```
The host section can then be configured with (note that this uses the web
endpoint instead):
```caddy
# For a specific set of subdomains
*.web.garage.tld {
tls {
on_demand
}
reverse_proxy localhost:3902 192.168.1.2:3902 example.tld:3902
}
# Accept all domains on HTTPS
# Never configure this without global section above
https:// {
tls {
on_demand
}
reverse_proxy localhost:3902 192.168.1.2:3902 example.tld:3902
}
```
More information on how this endpoint is implemented in Garage is available
in the [Admin API Reference](@/documentation/reference-manual/admin-api.md) page.

View file

@ -33,7 +33,20 @@ NoNewPrivileges=true
WantedBy=multi-user.target
```
*A note on hardening: garage will be run as a non privileged user, its user id is dynamically allocated by systemd. It cannot access (read or write) home folders (/home, /root and /run/user), the rest of the filesystem can only be read but not written, only the path seen as /var/lib/garage is writable as seen by the service (mapped to /var/lib/private/garage on your host). Additionnaly, the process can not gain new privileges over time.*
**A note on hardening:** Garage will be run as a non privileged user, its user
id is dynamically allocated by systemd (set with `DynamicUser=true`). It cannot
access (read or write) home folders (`/home`, `/root` and `/run/user`), the
rest of the filesystem can only be read but not written, only the path seen as
`/var/lib/garage` is writable as seen by the service. Additionnaly, the process
can not gain new privileges over time.
For this to work correctly, your `garage.toml` must be set with
`metadata_dir=/var/lib/garage/meta` and `data_dir=/var/lib/garage/data`. This
is mandatory to use the DynamicUser hardening feature of systemd, which
autocreates these directories as virtual mapping. If the directory
`/var/lib/garage` already exists before starting the server for the first time,
the systemd service might not start correctly. Note that in your host
filesystem, Garage data will be held in `/var/lib/private/garage`.
To start the service then automatically enable it at boot:

View file

@ -1,50 +0,0 @@
+++
title = "Upgrading Garage"
weight = 60
+++
Garage is a stateful clustered application, where all nodes are communicating together and share data structures.
It makes upgrade more difficult than stateless applications so you must be more careful when upgrading.
On a new version release, there is 2 possibilities:
- protocols and data structures remained the same ➡️ this is a **straightforward upgrade**
- protocols or data structures changed ➡️ this is an **advanced upgrade**
You can quickly now what type of update you will have to operate by looking at the version identifier.
Following the [SemVer ](https://semver.org/) terminology, if only the *patch* number changed, it will only need a straightforward upgrade.
Example: an upgrade from v0.6.0 from v0.6.1 is a straightforward upgrade.
If the *minor* or *major* number changed however, you will have to do an advanced upgrade. Example: from v0.6.1 to v0.7.0.
Migrations are designed to be run only between contiguous versions (from a *major*.*minor* perspective, *patches* can be skipped).
Example: migrations from v0.6.1 to v0.7.0 and from v0.6.0 to v0.7.0 are supported but migrations from v0.5.0 to v0.7.0 are not supported.
## Straightforward upgrades
Straightforward upgrades do not imply cluster downtime.
Before upgrading, you should still read [the changelog](https://git.deuxfleurs.fr/Deuxfleurs/garage/releases) and ideally test your deployment on a staging cluster before.
When you are ready, start by checking the health of your cluster.
You can force some checks with `garage repair`, we recommend at least running `garage repair --all-nodes --yes` that is very quick to run (less than a minute).
You will see that the command correctly terminated in the logs of your daemon.
Finally, you can simply upgrades nodes one by one.
For each node: stop it, install the new binary, edit the configuration if needed, restart it.
## Advanced upgrades
Advanced upgrades will imply cluster downtime.
Before upgrading, you must read [the changelog](https://git.deuxfleurs.fr/Deuxfleurs/garage/releases) and you must test your deployment on a staging cluster before.
From a high level perspective, an advanced upgrade looks like this:
1. Make sure the health of your cluster is good (see `garage repair`)
2. Disable API access (comment the configuration in your reverse proxy)
3. Check that your cluster is idle
4. Stop the whole cluster
5. Backup the metadata folder of all your nodes, so that you will be able to restore it quickly if the upgrade fails (blocks being immutable, they should not be impacted)
6. Install the new binary, update the configuration
7. Start the whole cluster
8. If needed, run the corresponding migration from `garage migrate`
9. Make sure the health of your cluster is good
10. Enable API access (uncomment the configuration in your reverse proxy)
11. Monitor your cluster while load comes back, check that all your applications are happy with this new version
We write guides for each advanced upgrade, they are stored under the "Working Documents" section of this documentation.

View file

@ -1,6 +1,6 @@
+++
title = "Design"
weight = 6
weight = 70
sort_by = "weight"
template = "documentation.html"
+++
@ -20,12 +20,16 @@ and could not do, etc.
We love to talk and hear about Garage, that's why we keep a log here:
- [(en, 2023-01-18) Presentation of Garage with some details on CRDTs and data partitioning among nodes](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/4cff37397f626ef063dad29e5b5e97ab1206015d/doc/talks/2023-01-18-tocatta/talk.pdf)
- [(fr, 2022-11-19) De l'auto-hébergement à l'entre-hébergement : Garage, pour conserver ses données ensemble](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/4cff37397f626ef063dad29e5b5e97ab1206015d/doc/talks/2022-11-19-Capitole-du-Libre/pr%C3%A9sentation.pdf)
- [(en, 2022-06-23) General presentation of Garage](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/4cff37397f626ef063dad29e5b5e97ab1206015d/doc/talks/2022-06-23-stack/talk.pdf)
- [(fr, 2021-11-13, video) Garage : Mille et une façons de stocker vos données](https://video.tedomum.net/w/moYKcv198dyMrT8hCS5jz9) and [slides (html)](https://rfid.deuxfleurs.fr/presentations/2021-11-13/garage/) - during [RFID#1](https://rfid.deuxfleurs.fr/programme/2021-11-13/) event
- [(en, 2021-04-28) Distributed object storage is centralised](https://git.deuxfleurs.fr/Deuxfleurs/garage/raw/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2021-04-28_spirals-team/talk.pdf)
- [(en, 2021-04-28) Distributed object storage is centralised](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2021-04-28_spirals-team/talk.pdf)
- [(fr, 2020-12-02) Garage : jouer dans la cour des grands quand on est un hébergeur associatif](https://git.deuxfleurs.fr/Deuxfleurs/garage/raw/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2020-12-02_wide-team/talk.pdf)
*Did you write or talk about Garage? [Open a pull request](https://git.deuxfleurs.fr/Deuxfleurs/garage/) to add a link here!*
- [(fr, 2020-12-02) Garage : jouer dans la cour des grands quand on est un hébergeur associatif](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2020-12-02_wide-team/talk.pdf)

View file

@ -42,15 +42,13 @@ locations. They use Garage themselves for the following tasks:
- As a [Matrix media backend](https://github.com/matrix-org/synapse-s3-storage-provider)
- To store personal data and shared documents through [Bagage](https://git.deuxfleurs.fr/Deuxfleurs/bagage), a homegrown WebDav-to-S3 proxy
- As a Nix binary cache
- To store personal data and shared documents through [Bagage](https://git.deuxfleurs.fr/Deuxfleurs/bagage), a homegrown WebDav-to-S3 and SFTP-to-S3 proxy
- As a backup target using `rclone` and `restic`
- In the Drone continuous integration platform to store task logs
- As a Nix binary cache
- As a backup target using `rclone`
The Deuxfleurs Garage cluster is a multi-site cluster currently composed of
4 nodes in 2 physical locations. In the future it will be expanded to at
least 3 physical locations to fully exploit Garage's potential for high
availability.
9 nodes in 3 physical locations.

View file

@ -61,7 +61,7 @@ Garage prioritizes which nodes to query according to a few criteria:
For further reading on the cluster structure look at the [gateway](@/documentation/cookbook/gateways.md)
and [cluster layout management](@/documentation/reference-manual/layout.md) pages.
and [cluster layout management](@/documentation/operations/layout.md) pages.
## Garbage collection

View file

@ -72,8 +72,7 @@ We considered there v2's design but concluded that it does not fit both our *Sel
**[Riak CS](https://docs.riak.com/riak/cs/2.1.1/index.html):**
*Not written yet*
**[IPFS](https://ipfs.io/):**
*Not written yet*
**[IPFS](https://ipfs.io/):** IPFS has design goals radically different from Garage, we have [a blog post](@/blog/2022-ipfs/index.md) talking about it.
## Specific research papers

View file

@ -1,6 +1,6 @@
+++
title = "Development"
weight = 7
weight = 80
sort_by = "weight"
template = "documentation.html"
+++

View file

@ -25,7 +25,7 @@ git clone https://git.deuxfleurs.fr/Deuxfleurs/garage
cd garage
```
*Optionnaly, you can use our nix.conf file to speed up compilations:*
*Optionally, you can use our nix.conf file to speed up compilations:*
```bash
sudo mkdir -p /etc/nix
@ -39,7 +39,7 @@ Now you can enter our nix-shell, all the required packages will be downloaded bu
nix-shell
```
You can use the traditionnal Rust development workflow:
You can use the traditional Rust development workflow:
```bash
cargo build # compile the project

View file

@ -11,7 +11,7 @@ We define them as our release process.
While we run some tests on every commits, we do not make a release for all of them.
A release can be triggered manually by "promoting" a successful build.
Otherwise, every weeks, a release build is triggered on the `main` branch.
Otherwise, every night, a release build is triggered on the `main` branch.
If the build is from a tag following the regex: `v[0-9]+\.[0-9]+\.[0-9]+`, it will be listed as stable.
If it is a tag but with a different format, it will be listed as Extra.

View file

@ -0,0 +1,23 @@
+++
title = "Operations & Maintenance"
weight = 50
sort_by = "weight"
template = "documentation.html"
+++
This section contains a number of important information on how to best operate a Garage cluster,
to ensure integrity and availability of your data:
- **[Upgrading Garage](@/documentation/operations/upgrading.md):** General instructions on how to
upgrade your cluster from one version to the next. Instructions specific for each version upgrade
can bef ound in the [working documents](@/documentation/working-documents/_index.md) section.
- **[Layout management](@/documentation/operations/layout.md):** Best practices for using the `garage layout`
commands when adding or removing nodes from your cluster.
- **[Durability and repairs](@/documentation/operations/durability-repairs.md):** How to check for small things
that might be going wrong, and how to recover from such failures.
- **[Recovering from failures](@/documentation/operations/recovering.md):** Garage's first selling point is resilience
to hardware failures. This section explains how to recover from such a failure in the
best possible way.

View file

@ -0,0 +1,117 @@
+++
title = "Durability & Repairs"
weight = 30
+++
To ensure the best durability of your data and to fix any inconsistencies that may
pop up in a distributed system, Garage provides a series of repair operations.
This guide will explain the meaning of each of them and when they should be applied.
# General syntax of repair operations
Repair operations described below are of the form `garage repair <repair_name>`.
These repairs will not launch without the `--yes` flag, which should
be added as follows: `garage repair --yes <repair_name>`.
By default these repair procedures will only run on the Garage node your CLI is
connecting to. To run on all nodes, add the `-a` flag as follows:
`garage repair -a --yes <repair_name>`.
# Data block operations
## Data store scrub
Scrubbing the data store means examining each individual data block to check that
their content is correct, by verifying their hash. Any block found to be corrupted
(e.g. by bitrot or by an accidental manipulation of the datastore) will be
restored from another node that holds a valid copy.
Scrubs are automatically scheduled by Garage to run every 25-35 days (the
actual time is randomized to spread load across nodes). The next scheduled run
can be viewed with `garage worker get`.
A scrub can also be launched manually using `garage repair scrub start`.
To view the status of an ongoing scrub, first find the task ID of the scrub worker
using `garage worker list`. Then, run `garage worker info <scrub_task_id>` to
view detailed runtime statistics of the scrub. To gather cluster-wide information,
this command has to be run on each individual node.
A scrub is a very disk-intensive operation that might slow down your cluster.
You may pause an ongoing scrub using `garage repair scrub pause`, but note that
the scrub will resume automatically 24 hours later as Garage will not let your
cluster run without a regular scrub. If the scrub procedure is too intensive
for your servers and is slowing down your workload, the recommended solution
is to increase the "scrub tranquility" using `garage repair scrub set-tranquility`.
A higher tranquility value will make Garage take longer pauses between two block
verifications. Of course, scrubbing the entire data store will also take longer.
## Block check and resync
In some cases, nodes hold a reference to a block but do not actually have the block
stored on disk. Conversely, they may also have on disk blocks that are not referenced
any more. To fix both cases, a block repair may be run with `garage repair blocks`.
This will scan the entire block reference counter table to check that the blocks
exist on disk, and will scan the entire disk store to check that stored blocks
are referenced.
It is recommended to run this procedure when changing your cluster layout,
after the metadata tables have finished synchronizing between nodes
(usually a few hours after `garage layout apply`).
## Inspecting lost blocks
In extremely rare situations, data blocks may be unavailable from the entire cluster.
This means that even using `garage repair blocks`, some nodes may be unable
to fetch data blocks for which they hold a reference.
These errors are stored on each node in a list of "block resync errors", i.e.
blocks for which the last resync operation failed.
This list can be inspected using `garage block list-errors`.
These errors usually fall into one of the following categories:
1. a block is still referenced but the object was deleted, this is a case
of metadata reference inconsistency (see below for the fix)
2. a block is referenced by a non-deleted object, but could not be fetched due
to a transient error such as a network failure
3. a block is referenced by a non-deleted object, but could not be fetched due
to a permanent error such as there not being any valid copy of the block on the
entire cluster
To help make the difference between cases 1 and cases 2 and 3, you may use the
`garage block info` command to see which objects hold a reference to each block.
In the second case (transient errors), Garage will try to fetch the block again
after a certain time, so the error should disappear naturally. You can also
request Garage to try to fetch the block immediately using `garage block retry-now`
if you have fixed the transient issue.
If you are confident that you are in the third scenario and that your data block
is definitely lost, then there is no other choice than to declare your S3 objects
as unrecoverable, and to delete them properly from the data store. This can be done
using the `garage block purge` command.
# Metadata operations
## Metadata table resync
Garage automatically resyncs all entries stored in the metadata tables every hour,
to ensure that all nodes have the most up-to-date version of all the information
they should be holding.
The resync procedure is based on a Merkle tree that allows to efficiently find
differences between nodes.
In some special cases, e.g. before an upgrade, you might want to run a table
resync manually. This can be done using `garage repair tables`.
## Metadata table reference fixes
In some very rare cases where nodes are unavailable, some references between objects
are broken. For instance, if an object is deleted, the underlying versions or data
blocks may still be held by Garage. If you suspect that such corruption has occurred
in your cluster, you can run one of the following repair procedures:
- `garage repair versions`: checks that all versions belong to a non-deleted object, and purges any orphan version
- `garage repair block_refs`: checks that all block references belong to a non-deleted object version, and purges any orphan block reference (this will then allow the blocks to be garbage-collected)

View file

@ -1,6 +1,6 @@
+++
title = "Cluster layout management"
weight = 50
weight = 20
+++
The cluster layout in Garage is a table that assigns to each node a role in

View file

@ -1,6 +1,6 @@
+++
title = "Recovering from failures"
weight = 50
weight = 40
+++
Garage is meant to work on old, second-hand hardware.

View file

@ -0,0 +1,85 @@
+++
title = "Upgrading Garage"
weight = 10
+++
Garage is a stateful clustered application, where all nodes are communicating together and share data structures.
It makes upgrade more difficult than stateless applications so you must be more careful when upgrading.
On a new version release, there is 2 possibilities:
- protocols and data structures remained the same ➡️ this is a **minor upgrade**
- protocols or data structures changed ➡️ this is a **major upgrade**
You can quickly now what type of update you will have to operate by looking at the version identifier:
when we require our users to do a major upgrade, we will always bump the first nonzero component of the version identifier
(e.g. from v0.7.2 to v0.8.0).
Conversely, for versions that only require a minor upgrade, the first nonzero component will always stay the same (e.g. from v0.8.0 to v0.8.1).
Major upgrades are designed to be run only between contiguous versions.
Example: migrations from v0.7.1 to v0.8.0 and from v0.7.0 to v0.8.2 are supported but migrations from v0.6.0 to v0.8.0 are not supported.
The `garage_build_info`
[Prometheus metric](@/documentation/reference-manual/monitoring.md) provides
an overview for which Garage versions are currently in use within a cluster.
## Minor upgrades
Minor upgrades do not imply cluster downtime.
Before upgrading, you should still read [the changelog](https://git.deuxfleurs.fr/Deuxfleurs/garage/releases) and ideally test your deployment on a staging cluster before.
When you are ready, start by checking the health of your cluster.
You can force some checks with `garage repair`, we recommend at least running `garage repair --all-nodes --yes tables` which is very quick to run (less than a minute).
You will see that the command correctly terminated in the logs of your daemon, or using `garage worker list` (the repair workers should be in the `Done` state).
Finally, you can simply upgrade nodes one by one.
For each node: stop it, install the new binary, edit the configuration if needed, restart it.
## Major upgrades
Major upgrades can be done with minimal downtime with a bit of preparation, but the simplest way is usually to put the cluster offline for the duration of the migration.
Before upgrading, you must read [the changelog](https://git.deuxfleurs.fr/Deuxfleurs/garage/releases) and you must test your deployment on a staging cluster before.
We write guides for each major upgrade, they are stored under the "Working Documents" section of this documentation.
### Major upgrades with full downtime
From a high level perspective, a major upgrade looks like this:
1. Disable API access (for instance in your reverse proxy, or by commenting the corresponding section in your Garage configuration file and restarting Garage)
2. Check that your cluster is idle
3. Make sure the health of your cluster is good (see `garage repair`)
4. Stop the whole cluster
5. Back up the metadata folder of all your nodes, so that you will be able to restore it if the upgrade fails (data blocks being immutable, they should not be impacted)
6. Install the new binary, update the configuration
7. Start the whole cluster
8. If needed, run the corresponding migration from `garage migrate`
9. Make sure the health of your cluster is good
10. Enable API access (reverse step 1)
11. Monitor your cluster while load comes back, check that all your applications are happy with this new version
### Major upgarades with minimal downtime
There is only one operation that has to be coordinated cluster-wide: the switch of one version of the internal RPC protocol to the next.
This means that an upgrade with very limited downtime can simply be performed from one major version to the next by restarting all nodes
simultaneously in the new version.
The downtime will simply be the time required for all nodes to stop and start again, which should be less than a minute.
If all nodes fail to stop and restart simultaneously, some nodes might be temporarily shut out from the cluster as nodes using different RPC protocol
versions are prevented to talk to one another.
The entire procedure would look something like this:
1. Make sure the health of your cluster is good (see `garage repair`)
2. Take each node offline individually to back up its metadata folder, bring them back online once the backup is done.
You can do all of the nodes in a single zone at once as that won't impact global cluster availability.
Do not try to make a backup of the metadata folder of a running node.
3. Prepare your binaries and configuration files for the new Garage version
4. Restart all nodes simultaneously in the new version
5. If any specific migration procedure is required, it is usually in one of the two cases:
- It can be run on online nodes after the new version has started, during regular cluster operation.
- it has to be run offline
For this last step, please refer to the specific documentation pertaining to the version upgrade you are doing.

View file

@ -1,6 +1,6 @@
+++
title = "Quick Start"
weight = 0
weight = 10
sort_by = "weight"
template = "documentation.html"
+++
@ -35,6 +35,9 @@ Place this binary somewhere in your `$PATH` so that you can invoke the `garage`
command directly (for instance you can copy the binary in `/usr/local/bin`
or in `~/.local/bin`).
You may also check whether your distribution already includes a
[binary package for Garage](@/documentation/cookbook/binary-packages.md).
If a binary of the last version is not available for your architecture,
or if you want a build customized for your system,
you can [build Garage from source](@/documentation/cookbook/from-source.md).
@ -290,13 +293,13 @@ sourcing the right file.*
aws s3 ls
# list objects of a bucket
aws s3 ls s3://my_files
aws s3 ls s3://nextcloud-bucket
# copy from your filesystem to garage
aws s3 cp /proc/cpuinfo s3://my_files/cpuinfo.txt
aws s3 cp /proc/cpuinfo s3://nextcloud-bucket/cpuinfo.txt
# copy from garage to your filesystem
aws s3 cp s3/my_files/cpuinfo.txt /tmp/cpuinfo.txt
aws s3 cp s3://nextcloud-bucket/cpuinfo.txt /tmp/cpuinfo.txt
```
Note that you can use `awscli` for more advanced operations like

View file

@ -1,6 +1,6 @@
+++
title = "Reference Manual"
weight = 5
weight = 60
sort_by = "weight"
template = "documentation.html"
+++

View file

@ -1,6 +1,6 @@
+++
title = "Administration API"
weight = 60
weight = 40
+++
The Garage administration API is accessible through a dedicated server whose
@ -39,11 +39,95 @@ Authorization: Bearer <token>
## Administration API endpoints
### Metrics-related endpoints
#### Metrics `GET /metrics`
### Metrics `GET /metrics`
Returns internal Garage metrics in Prometheus format.
The metrics are directly documented when returned by the API.
**Example:**
```
$ curl -i http://localhost:3903/metrics
HTTP/1.1 200 OK
content-type: text/plain; version=0.0.4
content-length: 12145
date: Tue, 08 Aug 2023 07:25:05 GMT
# HELP api_admin_error_counter Number of API calls to the various Admin API endpoints that resulted in errors
# TYPE api_admin_error_counter counter
api_admin_error_counter{api_endpoint="CheckWebsiteEnabled",status_code="400"} 1
api_admin_error_counter{api_endpoint="CheckWebsiteEnabled",status_code="404"} 3
# HELP api_admin_request_counter Number of API calls to the various Admin API endpoints
# TYPE api_admin_request_counter counter
api_admin_request_counter{api_endpoint="CheckWebsiteEnabled"} 7
api_admin_request_counter{api_endpoint="Health"} 3
# HELP api_admin_request_duration Duration of API calls to the various Admin API endpoints
...
```
### Health `GET /health`
Returns `200 OK` if enough nodes are up to have a quorum (ie. serve requests),
otherwise returns `503 Service Unavailable`.
**Example:**
```
$ curl -i http://localhost:3903/health
HTTP/1.1 200 OK
content-type: text/plain
content-length: 102
date: Tue, 08 Aug 2023 07:22:38 GMT
Garage is fully operational
Consult the full health check API endpoint at /v0/health for more details
```
### On-demand TLS `GET /check`
To prevent abuses for on-demand TLS, Caddy developpers have specified an endpoint that can be queried by the reverse proxy
to know if a given domain is allowed to get a certificate. Garage implements this endpoints to tell if a given domain is handled by Garage or is garbage.
Garage responds with the following logic:
- If the domain matches the pattern `<bucket-name>.<s3_api.root_domain>`, returns 200 OK
- If the domain matches the pattern `<bucket-name>.<s3_web.root_domain>` and website is configured for `<bucket>`, returns 200 OK
- If the domain matches the pattern `<bucket-name>` and website is configured for `<bucket>`, returns 200 OK
- Otherwise, returns 404 Not Found, 400 Bad Request or 5xx requests.
*Note 1: because in the path-style URL mode, there is only one domain that is not known by Garage, hence it is not supported by this API endpoint.
You must manually declare the domain in your reverse-proxy. Idem for K2V.*
*Note 2: buckets in a user's namespace are not supported yet by this endpoint. This is a limitation of this endpoint currently.*
**Example:** Suppose a Garage instance configured with `s3_api.root_domain = .s3.garage.localhost` and `s3_web.root_domain = .web.garage.localhost`.
With a private `media` bucket (name in the global namespace, website is disabled), the endpoint will feature the following behavior:
```
$ curl -so /dev/null -w "%{http_code}" http://localhost:3903/check?domain=media.s3.garage.localhost
200
$ curl -so /dev/null -w "%{http_code}" http://localhost:3903/check?domain=media
400
$ curl -so /dev/null -w "%{http_code}" http://localhost:3903/check?domain=media.web.garage.localhost
400
```
With a public `example.com` bucket (name in the global namespace, website is activated), the endpoint will feature the following behavior:
```
$ curl -so /dev/null -w "%{http_code}" http://localhost:3903/check?domain=example.com.s3.garage.localhost
200
$ curl -so /dev/null -w "%{http_code}" http://localhost:3903/check?domain=example.com
200
$ curl -so /dev/null -w "%{http_code}" http://localhost:3903/check?domain=example.com.web.garage.localhost
200
```
**References:**
- [Using On-Demand TLS](https://caddyserver.com/docs/automatic-https#using-on-demand-tls)
- [Add option for a backend check to approve use of on-demand TLS](https://github.com/caddyserver/caddy/pull/1939)
- [Serving tens of thousands of domains over HTTPS with Caddy](https://caddy.community/t/serving-tens-of-thousands-of-domains-over-https-with-caddy/11179)
### Cluster operations

View file

@ -3,6 +3,8 @@ title = "Configuration file format"
weight = 20
+++
## Full example
Here is an example `garage.toml` configuration file that illustrates all of the possible options:
```toml
@ -13,8 +15,9 @@ db_engine = "lmdb"
block_size = 1048576
sled_cache_capacity = 134217728
sled_cache_capacity = "128MiB"
sled_flush_every_ms = 2000
lmdb_map_size = "1T"
replication_mode = "3"
@ -33,12 +36,18 @@ bootstrap_peers = [
[consul_discovery]
api = "catalog"
consul_http_addr = "http://127.0.0.1:8500"
service_name = "garage-daemon"
ca_cert = "/etc/consul/consul-ca.crt"
client_cert = "/etc/consul/consul-client.crt"
client_key = "/etc/consul/consul-key.crt"
# for `agent` API mode, unset client_cert and client_key, and optionally enable `token`
# token = "abcdef-01234-56789"
tls_skip_verify = false
tags = [ "dns-enabled" ]
meta = { dns-acl = "allow trusted" }
[kubernetes_discovery]
namespace = "garage"
@ -96,7 +105,7 @@ Performance characteristics of the different DB engines are as follows:
- Sled: the default database engine, which tends to produce
large data files and also has performance issues, especially when the metadata folder
is on a traditionnal HDD and not on SSD.
is on a traditional HDD and not on SSD.
- LMDB: the recommended alternative on 64-bit systems,
much more space-efficiant and slightly faster. Note that the data format of LMDB is not portable
between architectures, so for instance the Garage database of an x86-64
@ -125,8 +134,8 @@ and not just the path to the metadata directory.
### `block_size`
Garage splits stored objects in consecutive chunks of size `block_size`
(except the last one which might be smaller). The default size is 1MB and
should work in most cases. We recommend increasing it to e.g. 10MB if
(except the last one which might be smaller). The default size is 1MiB and
should work in most cases. We recommend increasing it to e.g. 10MiB if
you are using Garage to store large files and have fast network connections
between all nodes (e.g. 1gbps).
@ -152,6 +161,14 @@ Increase this if sled is thrashing your SSD, at the risk of losing more data in
of a power outage (though this should not matter much as data is replicated on other
nodes). The default value, 2000ms, should be appropriate for most use cases.
### `lmdb_map_size`
This parameters can be used to set the map size used by LMDB,
which is the size of the virtual memory region used for mapping the database file.
The value of this parameter is the maximum size the metadata database can take.
This value is not bound by the physical RAM size of the machine running Garage.
If not specified, it defaults to 1GiB on 32-bit machines and 1TiB on 64-bit machines.
### `replication_mode`
Garage supports the following replication modes:
@ -259,13 +276,17 @@ Compression is done synchronously, setting a value too high will add latency to
This value can be different between nodes, compression is done by the node which receive the
API call.
### `rpc_secret`
### `rpc_secret`, `rpc_secret_file` or `GARAGE_RPC_SECRET` (env)
Garage uses a secret key that is shared between all nodes of the cluster
in order to identify these nodes and allow them to communicate together.
This key should be specified here in the form of a 32-byte hex-encoded
random string. Such a string can be generated with a command
such as `openssl rand -hex 32`.
Garage uses a secret key, called an RPC secret, that is shared between all
nodes of the cluster in order to identify these nodes and allow them to
communicate together. The RPC secret is a 32-byte hex-encoded random string,
which can be generated with a command such as `openssl rand -hex 32`.
The RPC secret should be specified in the `rpc_secret` configuration variable.
Since Garage `v0.8.2`, the RPC secret can also be stored in a file whose path is
given in the configuration variable `rpc_secret_file`, or specified as an
environment variable `GARAGE_RPC_SECRET`.
### `rpc_bind_addr`
@ -310,6 +331,12 @@ reached by other nodes of the cluster, which should be set in `rpc_public_addr`.
The `consul_http_addr` parameter should be set to the full HTTP(S) address of the Consul server.
### `api`
Two APIs for service registration are supported: `catalog` and `agent`. `catalog`, the default, will register a service using
the `/v1/catalog` endpoints, enabling mTLS if `client_cert` and `client_key` are provided. The `agent` API uses the
`v1/agent` endpoints instead, where an optional `token` may be provided.
### `service_name`
`service_name` should be set to the service name under which Garage's
@ -318,6 +345,7 @@ RPC ports are announced.
### `client_cert`, `client_key`
TLS client certificate and client key to use when communicating with Consul over TLS. Both are mandatory when doing so.
Only available when `api = "catalog"`.
### `ca_cert`
@ -328,6 +356,29 @@ TLS CA certificate to use when communicating with Consul over TLS.
Skip server hostname verification in TLS handshake.
`ca_cert` is ignored when this is set.
### `token`
Uses the provided token for communication with Consul. Only available when `api = "agent"`.
The policy assigned to this token should at least have these rules:
```hcl
// the `service_name` specified above
service "garage" {
policy = "write"
}
service_prefix "" {
policy = "read"
}
node_prefix "" {
policy = "read"
}
```
### `tags` and `meta`
Additional list of tags and map of service meta to add during service registration.
## The `[kubernetes_discovery]` section
@ -367,7 +418,7 @@ message that redirects the client to the correct region.
### `root_domain` {#root_domain}
The optionnal suffix to access bucket using vhost-style in addition to path-style request.
The optional suffix to access bucket using vhost-style in addition to path-style request.
Note path-style requests are always enabled, whether or not vhost-style is configured.
Configuring vhost-style S3 required a wildcard DNS entry, and possibly a wildcard TLS certificate,
but might be required by softwares not supporting path-style requests.
@ -390,7 +441,7 @@ This endpoint does not suport TLS: a reverse proxy should be used to provide it.
### `root_domain`
The optionnal suffix appended to bucket names for the corresponding HTTP Host.
The optional suffix appended to bucket names for the corresponding HTTP Host.
For instance, if `root_domain` is `web.garage.eu`, a bucket called `deuxfleurs.fr`
will be accessible either with hostname `deuxfleurs.fr.web.garage.eu`
@ -407,24 +458,30 @@ If specified, Garage will bind an HTTP server to this port and address, on
which it will listen to requests for administration features.
See [administration API reference](@/documentation/reference-manual/admin-api.md) to learn more about these features.
### `metrics_token` (since version 0.7.2)
### `metrics_token`, `metrics_token_file` or `GARAGE_METRICS_TOKEN` (env)
The token for accessing the Metrics endpoint. If this token is not set in
the config file, the Metrics endpoint can be accessed without access
control.
The token for accessing the Metrics endpoint. If this token is not set, the
Metrics endpoint can be accessed without access control.
You can use any random string for this value. We recommend generating a random token with `openssl rand -hex 32`.
### `admin_token` (since version 0.7.2)
`metrics_token` was introduced in Garage `v0.7.2`.
`metrics_token_file` and the `GARAGE_METRICS_TOKEN` environment variable are supported since Garage `v0.8.2`.
### `admin_token`, `admin_token_file` or `GARAGE_ADMIN_TOKEN` (env)
The token for accessing all of the other administration endpoints. If this
token is not set in the config file, access to these endpoints is disabled
entirely.
token is not set, access to these endpoints is disabled entirely.
You can use any random string for this value. We recommend generating a random token with `openssl rand -hex 32`.
`admin_token` was introduced in Garage `v0.7.2`.
`admin_token_file` and the `GARAGE_ADMIN_TOKEN` environment variable are supported since Garage `v0.8.2`.
### `trace_sink`
Optionnally, the address of an Opentelemetry collector. If specified,
Garage will send traces in the Opentelemetry format to this endpoint. These
Optionally, the address of an OpenTelemetry collector. If specified,
Garage will send traces in the OpenTelemetry format to this endpoint. These
trace allow to inspect Garage's operation when it handles S3 API requests.

View file

@ -35,7 +35,7 @@ This makes setting up and administering storage clusters, we hope, as easy as it
A Garage cluster can very easily evolve over time, as storage nodes are added or removed.
Garage will automatically rebalance data between nodes as needed to ensure the desired number of copies.
Read about cluster layout management [here](@/documentation/reference-manual/layout.md).
Read about cluster layout management [here](@/documentation/operations/layout.md).
### No RAFT slowing you down

View file

@ -1,9 +1,9 @@
+++
title = "K2V"
weight = 70
weight = 100
+++
Starting with version 0.7.2, Garage introduces an optionnal feature, K2V,
Starting with version 0.7.2, Garage introduces an optional feature, K2V,
which is an alternative storage API designed to help efficiently store
many small values in buckets (in opposition to S3 which is more designed
to store large blobs).
@ -16,7 +16,7 @@ the `k2v` feature flag enabled can be obtained from our download page under
with `-k2v` (example: `v0.7.2-k2v`).
The specification of the K2V API can be found
[here](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/branch/k2v/doc/drafts/k2v-spec.md).
[here](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/branch/main/doc/drafts/k2v-spec.md).
This document also includes a high-level overview of K2V's design.
The K2V API uses AWSv4 signatures for authentification, same as the S3 API.

View file

@ -0,0 +1,285 @@
+++
title = "Monitoring"
weight = 60
+++
For information on setting up monitoring, see our [dedicated page](@/documentation/cookbook/monitoring.md) in the Cookbook section.
## List of exported metrics
### Garage system metrics
#### `garage_build_info` (counter)
Exposes the Garage version number running on a node.
```
garage_build_info{version="1.0"} 1
```
#### `garage_replication_factor` (counter)
Exposes the Garage replication factor configured on the node
```
garage_replication_factor 3
```
### Metrics of the API endpoints
#### `api_admin_request_counter` (counter)
Counts the number of requests to a given endpoint of the administration API. Example:
```
api_admin_request_counter{api_endpoint="Metrics"} 127041
```
#### `api_admin_request_duration` (histogram)
Evaluates the duration of API calls to the various administration API endpoint. Example:
```
api_admin_request_duration_bucket{api_endpoint="Metrics",le="0.5"} 127041
api_admin_request_duration_sum{api_endpoint="Metrics"} 605.250344830999
api_admin_request_duration_count{api_endpoint="Metrics"} 127041
```
#### `api_s3_request_counter` (counter)
Counts the number of requests to a given endpoint of the S3 API. Example:
```
api_s3_request_counter{api_endpoint="CreateMultipartUpload"} 1
```
#### `api_s3_error_counter` (counter)
Counts the number of requests to a given endpoint of the S3 API that returned an error. Example:
```
api_s3_error_counter{api_endpoint="GetObject",status_code="404"} 39
```
#### `api_s3_request_duration` (histogram)
Evaluates the duration of API calls to the various S3 API endpoints. Example:
```
api_s3_request_duration_bucket{api_endpoint="CreateMultipartUpload",le="0.5"} 1
api_s3_request_duration_sum{api_endpoint="CreateMultipartUpload"} 0.046340762
api_s3_request_duration_count{api_endpoint="CreateMultipartUpload"} 1
```
#### `api_k2v_request_counter` (counter), `api_k2v_error_counter` (counter), `api_k2v_error_duration` (histogram)
Same as for S3, for the K2V API.
### Metrics of the Web endpoint
#### `web_request_counter` (counter)
Number of requests to the web endpoint
```
web_request_counter{method="GET"} 80
```
#### `web_request_duration` (histogram)
Duration of requests to the web endpoint
```
web_request_duration_bucket{method="GET",le="0.5"} 80
web_request_duration_sum{method="GET"} 1.0528433229999998
web_request_duration_count{method="GET"} 80
```
#### `web_error_counter` (counter)
Number of requests to the web endpoint resulting in errors
```
web_error_counter{method="GET",status_code="404 Not Found"} 64
```
### Metrics of the data block manager
#### `block_bytes_read`, `block_bytes_written` (counter)
Number of bytes read/written to/from disk in the data storage directory.
```
block_bytes_read 120586322022
block_bytes_written 3386618077
```
#### `block_compression_level` (counter)
Exposes the block compression level configured for the Garage node.
```
block_compression_level 3
```
#### `block_read_duration`, `block_write_duration` (histograms)
Evaluates the duration of the reading/writing of individual data blocks in the data storage directory.
```
block_read_duration_bucket{le="0.5"} 169229
block_read_duration_sum 2761.6902550310056
block_read_duration_count 169240
block_write_duration_bucket{le="0.5"} 3559
block_write_duration_sum 195.59170078500006
block_write_duration_count 3571
```
#### `block_delete_counter` (counter)
Counts the number of data blocks that have been deleted from storage.
```
block_delete_counter 122
```
#### `block_resync_counter` (counter), `block_resync_duration` (histogram)
Counts the number of resync operations the node has executed, and evaluates their duration.
```
block_resync_counter 308897
block_resync_duration_bucket{le="0.5"} 308892
block_resync_duration_sum 139.64204196100016
block_resync_duration_count 308897
```
#### `block_resync_queue_length` (gauge)
The number of block hashes currently queued for a resync.
This is normal to be nonzero for long periods of time.
```
block_resync_queue_length 0
```
#### `block_resync_errored_blocks` (gauge)
The number of block hashes that we were unable to resync last time we tried.
**THIS SHOULD BE ZERO, OR FALL BACK TO ZERO RAPIDLY, IN A HEALTHY CLUSTER.**
Persistent nonzero values indicate that some data is likely to be lost.
```
block_resync_errored_blocks 0
```
### Metrics related to RPCs (remote procedure calls) between nodes
#### `rpc_netapp_request_counter` (counter)
Number of RPC requests emitted
```
rpc_request_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 176
```
#### `rpc_netapp_error_counter` (counter)
Number of communication errors (errors in the Netapp library, generally due to disconnected nodes)
```
rpc_netapp_error_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 354
```
#### `rpc_timeout_counter` (counter)
Number of RPC timeouts, should be close to zero in a healthy cluster.
```
rpc_timeout_counter{from="<this node>",rpc_endpoint="garage_rpc/membership.rs/SystemRpc",to="<remote node>"} 1
```
#### `rpc_duration` (histogram)
The duration of internal RPC calls between Garage nodes.
```
rpc_duration_bucket{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>",le="0.5"} 166
rpc_duration_sum{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 35.172253716
rpc_duration_count{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 174
```
### Metrics of the metadata table manager
#### `table_gc_todo_queue_length` (gauge)
Table garbage collector TODO queue length
```
table_gc_todo_queue_length{table_name="block_ref"} 0
```
#### `table_get_request_counter` (counter), `table_get_request_duration` (histogram)
Number of get/get_range requests internally made on each table, and their duration.
```
table_get_request_counter{table_name="bucket_alias"} 315
table_get_request_duration_bucket{table_name="bucket_alias",le="0.5"} 315
table_get_request_duration_sum{table_name="bucket_alias"} 0.048509778000000024
table_get_request_duration_count{table_name="bucket_alias"} 315
```
#### `table_put_request_counter` (counter), `table_put_request_duration` (histogram)
Number of insert/insert_many requests internally made on this table, and their duration
```
table_put_request_counter{table_name="block_ref"} 677
table_put_request_duration_bucket{table_name="block_ref",le="0.5"} 677
table_put_request_duration_sum{table_name="block_ref"} 61.617528636
table_put_request_duration_count{table_name="block_ref"} 677
```
#### `table_internal_delete_counter` (counter)
Number of value deletions in the tree (due to GC or repartitioning)
```
table_internal_delete_counter{table_name="block_ref"} 2296
```
#### `table_internal_update_counter` (counter)
Number of value updates where the value actually changes (includes creation of new key and update of existing key)
```
table_internal_update_counter{table_name="block_ref"} 5996
```
#### `table_merkle_updater_todo_queue_length` (gauge)
Merkle tree updater TODO queue length (should fall to zero rapidly)
```
table_merkle_updater_todo_queue_length{table_name="block_ref"} 0
```
#### `table_sync_items_received`, `table_sync_items_sent` (counters)
Number of data items sent to/recieved from other nodes during resync procedures
```
table_sync_items_received{from="<remote node>",table_name="bucket_v2"} 3
table_sync_items_sent{table_name="block_ref",to="<remote node>"} 2
```

View file

@ -1,6 +1,6 @@
+++
title = "S3 Compatibility status"
weight = 40
weight = 70
+++
## DISCLAIMER

View file

@ -1,6 +1,6 @@
+++
title = "Working Documents"
weight = 8
weight = 90
sort_by = "weight"
template = "documentation.html"
+++

View file

@ -12,13 +12,15 @@ back up all your data before attempting it!**
Garage v0.8 introduces new data tables that allow the counting of objects in buckets in order to implement bucket quotas.
A manual migration step is required to first count objects in Garage buckets and populate these tables with accurate data.
## Simple migration procedure (takes cluster offline for a while)
The migration steps are as follows:
1. Disable API and web access. Garage v0.7 does not support disabling
these endpoints but you can change the port number or stop your reverse proxy for instance.
2. Do `garage repair --all-nodes --yes tables` and `garage repair --all-nodes --yes blocks`,
check the logs and check that all data seems to be synced correctly between
nodes. If you have time, do additional checks (`scrub`, `block_refs`, etc.)
nodes. If you have time, do additional checks (`versions`, `block_refs`, etc.)
3. Check that queues are empty: run `garage stats` to query them or inspect metrics in the Grafana dashboard.
4. Turn off Garage v0.7
5. **Backup the metadata folder of all your nodes!** For instance, use the following command
@ -32,3 +34,24 @@ The migration steps are as follows:
10. Your upgraded cluster should be in a working state. Re-enable API and Web
access and check that everything went well.
11. Monitor your cluster in the next hours to see if it works well under your production load, report any issue.
## Minimal downtime migration procedure
The migration to Garage v0.8 can be done with almost no downtime,
by restarting all nodes at once in the new version. The only limitation with this
method is that bucket sizes and item counts will not be estimated correctly
until all nodes have had a chance to run their offline migration procedure.
The migration steps are as follows:
1. Do `garage repair --all-nodes --yes tables` and `garage repair --all-nodes --yes blocks`,
check the logs and check that all data seems to be synced correctly between
nodes. If you have time, do additional checks (`versions`, `block_refs`, etc.)
2. Turn off each node individually; back up its metadata folder (see above); turn it back on again. This will allow you to take a backup of all nodes without impacting global cluster availability. You can do all nodes of a single zone at once as this does not impact the availability of Garage.
3. Prepare your binaries and configuration files for Garage v0.8
4. Shut down all v0.7 nodes simultaneously, and restart them all simultaneously in v0.8. Use your favorite deployment tool (Ansible, Kubernetes, Nomad) to achieve this as fast as possible.
5. At this point, Garage will indicate invalid values for the size and number of objects in each bucket (most likely, it will indicate zero). To fix this, take each node offline individually to do the offline migration step: `garage offline-repair --yes object_counters`. Again you can do all nodes of a single zone at once.

View file

@ -453,7 +453,7 @@ Request body format:
}
```
All fields (`name`, `allow` and `deny`) are optionnal.
All fields (`name`, `allow` and `deny`) are optional.
If they are present, the corresponding modifications are applied to the key, otherwise nothing is changed.
The possible flags in `allow` and `deny` are: `createBucket`.
@ -609,7 +609,7 @@ Request body format:
}
```
All fields (`websiteAccess` and `quotas`) are optionnal.
All fields (`websiteAccess` and `quotas`) are optional.
If they are present, the corresponding modifications are applied to the bucket, otherwise nothing is changed.
In `websiteAccess`: if `enabled` is `true`, `indexDocument` must be specified.

View file

@ -706,6 +706,73 @@ HTTP/1.1 200 OK
]
```
**PollRange: `POST /<bucket>/<partition key>?poll_range`**, or alternatively<br/>
**PollRange: `SEARCH /<bucket>/<partition key>?poll_range`**
Polls a range of items for changes.
The query body is a JSON object consisting of the following fields:
| name | default value | meaning |
|-----------------|---------------|----------------------------------------------------------------------------------------|
| `prefix` | `null` | Restrict items to poll to those whose sort keys start with this prefix |
| `start` | `null` | The sort key of the first item to poll |
| `end` | `null` | The sort key of the last item to poll (excluded) |
| `timeout` | 300 | The timeout before 304 NOT MODIFIED is returned if no value in the range is updated |
| `seenMarker` | `null` | An opaque string returned by a previous PollRange call, that represents items already seen |
The timeout can be set to any number of seconds, with a maximum of 600 seconds (10 minutes).
The response is either:
- A HTTP 304 NOT MODIFIED response with an empty body, if the timeout expired and no changes occurred
- A HTTP 200 response, indicating that some changes have occurred since the last PollRange call, in which case a JSON object is returned in the body with the following fields:
| name | meaning |
|-----------------|----------------------------------------------------------------------------------------|
| `seenMarker` | An opaque string that represents items already seen for future PollRange calls |
| `items` | The list of items that have changed since last PollRange call, in the same format as ReadBatch |
If no seen marker is known by the caller, it can do a PollRange call
without specifying `seenMarker`. In this case, the PollRange call will
complete immediately, and return the current content of the range (which
can be empty) and a seen marker to be used in further PollRange calls. This
is the only case in which PollRange might return an HTTP 200 with an empty
set of items.
A seen marker returned as a response to a PollRange query can be used for further PollRange
queries on the same range, or for PollRange queries in a subrange of the initial range.
It may not be used for PollRange queries on ranges larger or outside of the initial range.
Example query:
```json
SEARCH /my_bucket?poll_range HTTP/1.1
{
"prefix": "0391.",
"start": "0391.000001973107",
"seenMarker": "opaquestring123",
}
```
Example response:
```json
HTTP/1.1 200 OK
Content-Type: application/json
{
"seenMarker": "opaquestring456",
"items": [
{ sk: "0391.000001973221", ct: "opaquetoken123", v: ["b64cryptoblob123", "b64cryptoblob'123"] },
{ sk: "0391.000001974191", ct: "opaquetoken456", v: ["b64cryptoblob456", "b64cryptoblob'456"] },
]
}
```
## Internals: causality tokens

Binary file not shown.

After

Width:  |  Height:  |  Size: 41 KiB

Binary file not shown.

Binary file not shown.

Before

Width:  |  Height:  |  Size: 16 KiB

After

Width:  |  Height:  |  Size: 36 KiB

File diff suppressed because one or more lines are too long

Before

Width:  |  Height:  |  Size: 74 KiB

After

Width:  |  Height:  |  Size: 15 KiB

BIN
doc/sticker/Garage_NGI.pdf Normal file

Binary file not shown.

BIN
doc/sticker/Garage_NGI.png Normal file

Binary file not shown.

After

Width:  |  Height:  |  Size: 16 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 74 KiB

1
doc/talks/.envrc Normal file
View file

@ -0,0 +1 @@
use_nix

1
doc/talks/.gitignore vendored Normal file
View file

@ -0,0 +1 @@
.direnv/

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

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