Merge pull request 'add extraVolumes and extraVolumeMounts to helm chart' (#896) from eugene-davis/garage:main into main

Reviewed-on: Deuxfleurs/garage#896
Reviewed-by: maximilien <me@mricher.fr>

.drone.yml

@@ -1,300 +0,0 @@
----
-kind: pipeline
-name: default
-
-node:
-  nix-daemon: 1
-
-steps:
-  - name: check formatting
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-shell --attr rust --run "cargo fmt -- --check"
-
-  - name: build
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
-
-  - name: unit + func tests
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      GARAGE_TEST_INTEGRATION_EXE: result-bin/bin/garage
-      GARAGE_TEST_INTEGRATION_PATH: tmp-garage-integration
-    commands:
-      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-build --no-build-output --attr test.amd64
-      - ./result/bin/garage_db-*
-      - ./result/bin/garage_api-*
-      - ./result/bin/garage_model-*
-      - ./result/bin/garage_rpc-*
-      - ./result/bin/garage_table-*
-      - ./result/bin/garage_util-*
-      - ./result/bin/garage_web-*
-      - ./result/bin/garage-*
-      - ./result/bin/integration-* || (cat tmp-garage-integration/stderr.log; false)
-      - rm result
-      - rm -rv tmp-garage-integration
-
-  - name: integration tests
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr integration --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
-
-trigger:
-  event:
-  - custom
-  - push
-  - pull_request
-  - tag
-  - cron
-
----
-kind: pipeline
-type: docker
-name: release-linux-amd64
-
-node:
-  nix-daemon: 1
-
-steps:
-  - name: build
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-build --no-build-output --attr pkgs.amd64.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
-
-  - name: integration tests
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-shell --attr integration --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
-
-  - name: upgrade tests
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-shell --attr integration --run "./script/test-upgrade.sh v0.8.4 x86_64-unknown-linux-musl" || (cat /tmp/garage.log; false)
-
-  - name: push static binary
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      AWS_ACCESS_KEY_ID:
-        from_secret: garagehq_aws_access_key_id
-      AWS_SECRET_ACCESS_KEY:
-        from_secret: garagehq_aws_secret_access_key
-      TARGET: "x86_64-unknown-linux-musl"
-    commands:
-      - nix-shell --attr release --run "to_s3"
-
-  - name: docker build and publish
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      DOCKER_AUTH:
-        from_secret: docker_auth
-      DOCKER_PLATFORM: "linux/amd64"
-      CONTAINER_NAME: "dxflrs/amd64_garage"
-      HOME: "/kaniko"
-    commands:
-      - mkdir -p /kaniko/.docker
-      - echo $DOCKER_AUTH > /kaniko/.docker/config.json
-      - export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr release --run "to_docker"
-
-
-trigger:
-  event:
-  - promote
-  - cron
-
----
-kind: pipeline
-type: docker
-name: release-linux-i386
-
-node:
-  nix-daemon: 1
-
-steps:
-  - name: build
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-build --no-build-output --attr pkgs.i386.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
-
-  - name: integration tests
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-shell --attr integration --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
-
-  - name: upgrade tests
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-shell --attr integration --run "./script/test-upgrade.sh v0.8.4 i686-unknown-linux-musl" || (cat /tmp/garage.log; false)
-
-  - name: push static binary
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      AWS_ACCESS_KEY_ID:
-        from_secret: garagehq_aws_access_key_id
-      AWS_SECRET_ACCESS_KEY:
-        from_secret: garagehq_aws_secret_access_key
-      TARGET: "i686-unknown-linux-musl"
-    commands:
-      - nix-shell --attr release --run "to_s3"
-
-  - name: docker build and publish
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      DOCKER_AUTH:
-        from_secret: docker_auth
-      DOCKER_PLATFORM: "linux/386"
-      CONTAINER_NAME: "dxflrs/386_garage"
-      HOME: "/kaniko"
-    commands:
-      - mkdir -p /kaniko/.docker
-      - echo $DOCKER_AUTH > /kaniko/.docker/config.json
-      - export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr release --run "to_docker"
-
-trigger:
-  event:
-  - promote
-  - cron
-
----
-kind: pipeline
-type: docker
-name: release-linux-arm64
-
-node:
-  nix-daemon: 1
-
-steps:
-  - name: build
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-build --no-build-output --attr pkgs.arm64.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
-
-  - name: push static binary
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      AWS_ACCESS_KEY_ID:
-        from_secret: garagehq_aws_access_key_id
-      AWS_SECRET_ACCESS_KEY:
-        from_secret: garagehq_aws_secret_access_key
-      TARGET: "aarch64-unknown-linux-musl"
-    commands:
-      - nix-shell --attr release --run "to_s3"
-
-  - name: docker build and publish
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      DOCKER_AUTH:
-        from_secret: docker_auth
-      DOCKER_PLATFORM: "linux/arm64"
-      CONTAINER_NAME: "dxflrs/arm64_garage"
-      HOME: "/kaniko"
-    commands:
-      - mkdir -p /kaniko/.docker
-      - echo $DOCKER_AUTH > /kaniko/.docker/config.json
-      - export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr release --run "to_docker"
-
-trigger:
-  event:
-  - promote
-  - cron
-
----
-kind: pipeline
-type: docker
-name: release-linux-arm
-
-node:
-  nix-daemon: 1
-
-steps:
-  - name: build
-    image: nixpkgs/nix:nixos-22.05
-    commands:
-      - nix-build --no-build-output --attr pkgs.arm.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
-
-  - name: push static binary
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      AWS_ACCESS_KEY_ID:
-        from_secret: garagehq_aws_access_key_id
-      AWS_SECRET_ACCESS_KEY:
-        from_secret: garagehq_aws_secret_access_key
-      TARGET: "armv6l-unknown-linux-musleabihf"
-    commands:
-      - nix-shell --attr release --run "to_s3"
-
-  - name: docker build and publish
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      DOCKER_AUTH:
-        from_secret: docker_auth
-      DOCKER_PLATFORM: "linux/arm"
-      CONTAINER_NAME: "dxflrs/arm_garage"
-      HOME: "/kaniko"
-    commands:
-      - mkdir -p /kaniko/.docker
-      - echo $DOCKER_AUTH > /kaniko/.docker/config.json
-      - export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr release --run "to_docker"
-
-trigger:
-  event:
-  - promote
-  - cron
-
----
-kind: pipeline
-type: docker
-name: refresh-release-page
-
-node:
-  nix-daemon: 1
-
-steps:
-  - name: multiarch-docker
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      DOCKER_AUTH:
-        from_secret: docker_auth
-      HOME: "/root"
-    commands:
-      - mkdir -p /root/.docker
-      - echo $DOCKER_AUTH > /root/.docker/config.json
-      - export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
-      - nix-shell --attr release --run "multiarch_docker"
-  - name: refresh-index
-    image: nixpkgs/nix:nixos-22.05
-    environment:
-      AWS_ACCESS_KEY_ID:
-        from_secret: garagehq_aws_access_key_id
-      AWS_SECRET_ACCESS_KEY:
-        from_secret: garagehq_aws_secret_access_key
-    commands:
-      - mkdir -p /etc/nix && cp nix/nix.conf /etc/nix/nix.conf
-      - nix-shell --attr release --run "refresh_index"
-
-depends_on:
-  - release-linux-amd64
-  - release-linux-i386
-  - release-linux-arm64
-  - release-linux-arm
-
-trigger:
-  event:
-  - promote
-  - cron
-
----
-kind: signature
-hmac: 0c4b57eb4b27b7c6a6ff21ab87f0767fe3eb90f5d95d5cbcdccf794e9d2a5d86
-
-...

.woodpecker/debug.yaml

@@ -0,0 +1,47 @@
+when:
+  event:
+  - push
+  - tag
+  - pull_request
+  - deployment
+  - cron
+  - manual
+
+steps:
+  - name: check formatting
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-shell --attr devShell --run "cargo fmt -- --check"
+
+  - name: build
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
+
+  - name: unit + func tests
+    image: nixpkgs/nix:nixos-22.05
+    environment:
+      GARAGE_TEST_INTEGRATION_EXE: result-bin/bin/garage
+      GARAGE_TEST_INTEGRATION_PATH: tmp-garage-integration
+    commands:
+      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
+      - nix-build --no-build-output --attr test.amd64
+      - ./result/bin/garage_db-*
+      - ./result/bin/garage_api-*
+      - ./result/bin/garage_model-*
+      - ./result/bin/garage_rpc-*
+      - ./result/bin/garage_table-*
+      - ./result/bin/garage_util-*
+      - ./result/bin/garage_web-*
+      - ./result/bin/garage-*
+      - GARAGE_TEST_INTEGRATION_DB_ENGINE=lmdb ./result/bin/integration-* || (cat tmp-garage-integration/stderr.log; false)
+      - nix-shell --attr ci --run "killall -9 garage" || true
+      - GARAGE_TEST_INTEGRATION_DB_ENGINE=sqlite ./result/bin/integration-* || (cat tmp-garage-integration/stderr.log; false)
+      - rm result
+      - rm -rv tmp-garage-integration
+
+  - name: integration tests
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
+      - nix-shell --attr ci --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)

.woodpecker/publish.yaml

@@ -0,0 +1,29 @@
+when:
+  event:
+  - deployment
+  - cron
+
+depends_on:
+  - release
+
+steps:
+  - name: refresh-index
+    image: nixpkgs/nix:nixos-22.05
+    secrets:
+      - source: garagehq_aws_access_key_id
+        target: AWS_ACCESS_KEY_ID
+      - source: garagehq_aws_secret_access_key
+        target: AWS_SECRET_ACCESS_KEY
+    commands:
+      - mkdir -p /etc/nix && cp nix/nix.conf /etc/nix/nix.conf
+      - nix-shell --attr ci --run "refresh_index"
+
+  - name: multiarch-docker
+    image: nixpkgs/nix:nixos-22.05
+    secrets:
+      - docker_auth
+    commands:
+      - mkdir -p /root/.docker
+      - echo $DOCKER_AUTH > /root/.docker/config.json
+      - export CONTAINER_TAG=${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
+      - nix-shell --attr ci --run "multiarch_docker"

.woodpecker/release.yaml

@@ -0,0 +1,70 @@
+when:
+  event:
+  - deployment
+  - cron
+
+matrix:
+  include:
+    - ARCH: amd64
+      TARGET: x86_64-unknown-linux-musl
+    - ARCH: i386
+      TARGET: i686-unknown-linux-musl
+    - ARCH: arm64
+      TARGET: aarch64-unknown-linux-musl
+    - ARCH: arm
+      TARGET: armv6l-unknown-linux-musleabihf
+
+steps:
+  - name: build
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-build --no-build-output --attr pkgs.${ARCH}.release --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
+
+  - name: check is static binary
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-build --no-build-output --attr pkgs.${ARCH}.release --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
+      - nix-shell --attr ci --run "./script/not-dynamic.sh result-bin/bin/garage"
+
+  - name: integration tests
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-shell --attr ci --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
+    when:
+      - matrix:
+          ARCH: amd64
+      - matrix:
+          ARCH: i386
+
+  - name: upgrade tests
+    image: nixpkgs/nix:nixos-22.05
+    commands:
+      - nix-shell --attr ci --run "./script/test-upgrade.sh v0.8.4 x86_64-unknown-linux-musl" || (cat /tmp/garage.log; false)
+    when:
+      - matrix:
+          ARCH: amd64
+
+  - name: push static binary
+    image: nixpkgs/nix:nixos-22.05
+    environment:
+      TARGET: "${TARGET}"
+    secrets:
+      - source: garagehq_aws_access_key_id
+        target: AWS_ACCESS_KEY_ID
+      - source: garagehq_aws_secret_access_key
+        target: AWS_SECRET_ACCESS_KEY
+    commands:
+      - nix-shell --attr ci --run "to_s3"
+
+  - name: docker build and publish
+    image: nixpkgs/nix:nixos-22.05
+    environment:
+      DOCKER_PLATFORM: "linux/${ARCH}"
+      CONTAINER_NAME: "dxflrs/${ARCH}_garage"
+    secrets:
+      - docker_auth
+    commands:
+      - mkdir -p /root/.docker
+      - echo $DOCKER_AUTH > /root/.docker/config.json
+      - export CONTAINER_TAG=${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
+      - nix-shell --attr ci --run "to_docker"

Cargo.toml

@@ -3,6 +3,7 @@ resolver = "2"
 members = [
 	"src/db",
 	"src/util",
+	"src/net",
 	"src/rpc",
 	"src/table",
 	"src/block",
@@ -17,19 +18,135 @@ members = [
 default-members = ["src/garage"]
 
 [workspace.dependencies]
+
+# Internal Garage crates
 format_table = { version = "0.1.1", path = "src/format-table" }
-garage_api = { version = "0.9.1", path = "src/api" }
-garage_block = { version = "0.9.1", path = "src/block" }
-garage_db = { version = "0.9.1", path = "src/db", default-features = false }
-garage_model = { version = "0.9.1", path = "src/model", default-features = false }
-garage_rpc = { version = "0.9.1", path = "src/rpc" }
-garage_table = { version = "0.9.1", path = "src/table" }
-garage_util = { version = "0.9.1", path = "src/util" }
-garage_web = { version = "0.9.1", path = "src/web" }
+garage_api = { version = "1.0.1", path = "src/api" }
+garage_block = { version = "1.0.1", path = "src/block" }
+garage_db = { version = "1.0.1", path = "src/db", default-features = false }
+garage_model = { version = "1.0.1", path = "src/model", default-features = false }
+garage_net = { version = "1.0.1", path = "src/net" }
+garage_rpc = { version = "1.0.1", path = "src/rpc" }
+garage_table = { version = "1.0.1", path = "src/table" }
+garage_util = { version = "1.0.1", path = "src/util" }
+garage_web = { version = "1.0.1", path = "src/web" }
 k2v-client = { version = "0.0.4", path = "src/k2v-client" }
 
+# External crates from crates.io
+arc-swap = "1.0"
+argon2 = "0.5"
+async-trait = "0.1.7"
+backtrace = "0.3"
+base64 = "0.21"
+blake2 = "0.10"
+bytes = "1.0"
+bytesize = "1.1"
+cfg-if = "1.0"
+chrono = "0.4"
+crc32fast = "1.4"
+crc32c = "0.6"
+crypto-common = "0.1"
+digest = "0.10"
+err-derive = "0.3"
+gethostname = "0.4"
+git-version = "0.3.4"
+hex = "0.4"
+hexdump = "0.1"
+hmac = "0.12"
+idna = "0.5"
+itertools = "0.12"
+ipnet = "2.9.0"
+lazy_static = "1.4"
+md-5 = "0.10"
+mktemp = "0.5"
+nix = { version = "0.27", default-features = false, features = ["fs"] }
+nom = "7.1"
+parse_duration = "2.1"
+pin-project = "1.0.12"
+pnet_datalink = "0.34"
+rand = "0.8"
+sha1 = "0.10"
+sha2 = "0.10"
+timeago = { version = "0.4", default-features = false }
+xxhash-rust = { version = "0.8", default-features = false, features = ["xxh3"] }
+
+aes-gcm = { version = "0.10", features = ["aes", "stream"] }
+sodiumoxide = { version = "0.2.5-0", package = "kuska-sodiumoxide" }
+kuska-handshake = { version = "0.2.0", features = ["default", "async_std"] }
+
+clap = { version = "4.1", features = ["derive", "env"] }
+pretty_env_logger = "0.5"
+structopt = { version = "0.3", default-features = false }
+syslog-tracing = "0.3"
+tracing = "0.1"
+tracing-subscriber = { version = "0.3", features = ["env-filter"] }
+
+heed = { version = "0.11", default-features = false, features = ["lmdb"] }
+rusqlite = "0.31.0"
+r2d2 = "0.8"
+r2d2_sqlite = "0.24"
+
+async-compression = { version = "0.4", features = ["tokio", "zstd"] }
+zstd = { version = "0.13", default-features = false }
+
+quick-xml = { version = "0.26", features = [ "serialize" ] }
+rmp-serde = "1.1.2"
+serde = { version = "1.0", default-features = false, features = ["derive", "rc"] }
+serde_bytes = "0.11"
+serde_json = "1.0"
+toml = { version = "0.8", default-features = false, features = ["parse"] }
+
+# newer version requires rust edition 2021
+k8s-openapi = { version = "0.21", features = ["v1_24"] }
+kube = { version = "0.88", default-features = false, features = ["runtime", "derive", "client", "rustls-tls"] }
+schemars = "0.8"
+reqwest = { version = "0.11", default-features = false, features = ["rustls-tls-manual-roots", "json"] }
+
+form_urlencoded = "1.0.0"
+http = "1.0"
+httpdate = "1.0"
+http-range = "0.1"
+http-body-util = "0.1"
+hyper = { version = "1.0", default-features = false }
+hyper-util = { version = "0.1", features = [ "full" ] }
+multer = "3.0"
+percent-encoding = "2.2"
+roxmltree = "0.19"
+url = "2.3"
+
+futures = "0.3"
+futures-util = "0.3"
+tokio = { version = "1.0", default-features = false, features = ["net", "rt", "rt-multi-thread", "io-util", "net", "time", "macros", "sync", "signal", "fs"] }
+tokio-util = { version = "0.7", features = ["compat", "io"] }
+tokio-stream = { version = "0.1", features = ["net"] }
+
+opentelemetry = { version = "0.17", features = [ "rt-tokio", "metrics", "trace" ] }
+opentelemetry-prometheus = "0.10"
+opentelemetry-otlp = "0.10"
+opentelemetry-contrib = "0.9"
+prometheus = "0.13"
+
+# used by the k2v-client crate only
+aws-sigv4 = { version = "1.1" }
+hyper-rustls = { version = "0.26", features = ["http2"] }
+log = "0.4"
+thiserror = "1.0"
+
+# ---- used only as build / dev dependencies ----
+assert-json-diff = "2.0"
+rustc_version = "0.4.0"
+static_init = "1.0"
+
+aws-config = "1.1.4"
+aws-sdk-config = "1.13"
+aws-sdk-s3 = "1.14"
+
 [profile.dev]
+#lto = "thin"	# disabled for now, adds 2-4 min to each CI build
 lto = "off"
 
 [profile.release]
-debug = true
+lto = true
+codegen-units = 1
+opt-level = "s"
+strip = true

README.md

@@ -1,4 +1,4 @@
-Garage [![Build Status](https://drone.deuxfleurs.fr/api/badges/Deuxfleurs/garage/status.svg?ref=refs/heads/main)](https://drone.deuxfleurs.fr/Deuxfleurs/garage)
+Garage [![status-badge](https://woodpecker.deuxfleurs.fr/api/badges/1/status.svg)](https://woodpecker.deuxfleurs.fr/repos/1)
 ===
 
 <p align="center" style="text-align:center;">

default.nix

@@ -40,7 +40,6 @@ in {
       features = [
         "garage/bundled-libs"
         "garage/k2v"
-        "garage/sled"
         "garage/lmdb"
         "garage/sqlite"
       ];

doc/api/garage-admin-v1.yml

@@ -98,7 +98,6 @@ paths:
                       type: string
                     example:
                       - "k2v"
-                      - "sled"
                       - "lmdb"
                       - "sqlite"
                       - "consul-discovery"

doc/book/build/python.md

@@ -23,7 +23,7 @@ client = minio.Minio(
   "GKyourapikey",
   "abcd[...]1234",
   # Force the region, this is specific to garage
-  region="region",
+  region="garage",
 )
 ```
 

doc/book/connect/apps/index.md

@@ -80,6 +80,53 @@ To test your new configuration, just reload your Nextcloud webpage and start sen
 
 *External link:* [Nextcloud Documentation > Primary Storage](https://docs.nextcloud.com/server/latest/admin_manual/configuration_files/primary_storage.html)
 
+#### SSE-C encryption (since Garage v1.0)
+
+Since version 1.0, Garage supports server-side encryption with customer keys
+(SSE-C).  In this mode, Garage is responsible for encrypting and decrypting
+objects, but it does not store the encryption key itself. The encryption key
+should be provided by Nextcloud upon each request.  This mode of operation is
+supported by Nextcloud and it has successfully been tested together with
+Garage.
+
+To enable SSE-C encryption:
+
+1. Make sure your Garage server is accessible via SSL through a reverse proxy
+   such as Nginx, and that it is using a valid public certificate (Nextcloud
+   might be able to connect to an S3 server that is using a self-signed
+   certificate, but you will lose many hours while trying, so don't).
+   Configure values for `use_ssl` and `port` accordingly in your `config.php`
+   file.
+
+2. Generate an encryption key using the following command:
+
+    ```
+    openssl rand -base64 32
+    ```
+
+    Make sure to keep this key **secret**!
+
+3. Add the encryption key in your `config.php` file as follows:
+
+
+    ```php
+    <?php
+    $CONFIG = array(
+    'objectstore' => [
+        'class' => '\\OC\\Files\\ObjectStore\\S3',
+        'arguments' => [
+            ...
+            'sse_c_key' => 'exampleencryptionkeyLbU+5fKYQcVoqnn+RaIOXgo=',
+            ...
+        ],
+    ],
+    ```
+
+Nextcloud will now make Garage encrypt files at rest in the storage bucket.
+These files will not be readable by an S3 client that has credentials to the
+bucket but doesn't also know the secret encryption key.
+
+
 ### External Storage
 
 **From the GUI.** Activate the "External storage support" app from the "Applications" page (click on your account icon on the top right corner of your screen to display the menu). Go to your parameters page (also located below your account icon). Click on external storage (or the corresponding translation in your language).
@@ -245,7 +292,7 @@ with average object size ranging from 50 KB to 150 KB.
 As such, your Garage cluster should be configured appropriately for good performance:
 
 - use Garage v0.8.0 or higher with the [LMDB database engine](@documentation/reference-manual/configuration.md#db-engine-since-v0-8-0).
-  With the default Sled database engine, your database could quickly end up taking tens of GB of disk space.
+  Older versions of Garage used the Sled database engine which had issues, such as databases quickly ending up taking tens of GB of disk space.
 - the Garage database should be stored on a SSD
 
 ### Creating your bucket
@@ -288,6 +335,7 @@ From the [official Mastodon documentation](https://docs.joinmastodon.org/admin/t
 
 ```bash
 $ RAILS_ENV=production bin/tootctl media remove --days 3
+$ RAILS_ENV=production bin/tootctl media remove --days 15 --prune-profiles
 $ RAILS_ENV=production bin/tootctl media remove-orphans
 $ RAILS_ENV=production bin/tootctl preview_cards remove --days 15
 ```
@@ -306,8 +354,6 @@ Imports:	1.7 KB
 Settings:	0 Bytes
 ```
 
-Unfortunately, [old avatars and headers cannot currently be cleaned up](https://github.com/mastodon/mastodon/issues/9567).
-
 ### Migrating your data
 
 Data migration should be done with an efficient S3 client.

doc/book/connect/backup.md

@@ -55,8 +55,8 @@ Create your key and bucket:
 
 ```bash
 garage key create my-key
-garage bucket create backup
-garage bucket allow backup --read --write --key my-key
+garage bucket create backups
+garage bucket allow backups --read --write --key my-key
 ```
 
 Then register your Key ID and Secret key in your environment:

doc/book/connect/cli.md

@@ -259,7 +259,7 @@ duck --delete garage:/my-files/an-object.txt
 
 ## WinSCP (libs3) {#winscp}
 
-*You can find instructions on how to use the GUI in french [in our wiki](https://wiki.deuxfleurs.fr/fr/Guide/Garage/WinSCP).*
+*You can find instructions on how to use the GUI in french [in our wiki](https://guide.deuxfleurs.fr/prise_en_main/winscp/).*
 
 How to use `winscp.com`, the CLI interface of WinSCP:
 

doc/book/cookbook/encryption.md

@@ -53,20 +53,43 @@ and that's also why your nodes have super long identifiers.
 
 Adding TLS support built into Garage is not currently planned.
 
-## Garage stores data in plain text on the filesystem
+## Garage stores data in plain text on the filesystem or encrypted using customer keys (SSE-C)
 
-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.
+For standard S3 API requests, Garage does not encrypt data at rest by itself.
+For the most generic at rest encryption of data, we recommend setting up your
+storage partitions on encrypted LUKS devices.
 
-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?
+If you are developping your own client software that makes use of S3 storage,
+we recommend implementing data encryption directly on the client side and never
+transmitting plaintext data to Garage. This makes it easy to use an external
+untrusted storage provider if necessary.
+
+Garage does support [SSE-C
+encryption](https://docs.aws.amazon.com/AmazonS3/latest/userguide/ServerSideEncryptionCustomerKeys.html),
+an encryption mode of Amazon S3 where data is encrypted at rest using
+encryption keys given by the client.  The encryption keys are passed to the
+server in a header in each request, to encrypt or decrypt data at the moment of
+reading or writing. The server discards the key as soon as it has finished
+using it for the request.  This mode allows the data to be encrypted at rest by
+Garage itself, but it requires support in the client software. It is also not
+adapted to a model where the server is not trusted or assumed to be
+compromised, as the server can easily know the encryption keys.  Note however
+that when using SSE-C encryption, the only Garage node that knows the
+encryption key passed in a given request is the node to which the request is
+directed (which can be a gateway node), so it is easy to have untrusted nodes
+in the cluster as long as S3 API requests containing SSE-C encryption keys are
+not directed to them.
+
+Implementing automatic data encryption directly in Garage without client-side
+management of keys (something like
+[SSE-S3](https://docs.aws.amazon.com/AmazonS3/latest/userguide/UsingServerSideEncryption.html))
+could make things simpler for end users that don't want to setup LUKS, 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. At the time of speaking, there are no plans to implement this in
+Garage.
 
 
 # Adding data encryption using external tools

doc/book/cookbook/from-source.md

@@ -90,6 +90,6 @@ The following feature flags are available in v0.8.0:
 | `kubernetes-discovery` | optional | Enable automatic registration and discovery<br>of cluster nodes through the Kubernetes API |
 | `metrics` | *by default* | Enable collection of metrics in Prometheus format on the admin API |
 | `telemetry-otlp` | optional | Enable collection of execution traces using OpenTelemetry |
-| `sled` | *by default* | Enable using Sled to store Garage's metadata |
-| `lmdb` | optional | Enable using LMDB to store Garage's metadata |
-| `sqlite` | optional | Enable using Sqlite3 to store Garage's metadata |
+| `syslog` | optional | Enable logging to Syslog |
+| `lmdb` | *by default* | Enable using LMDB to store Garage's metadata |
+| `sqlite` | *by default* | Enable using Sqlite3 to store Garage's metadata |

doc/book/cookbook/monitoring.md

@@ -18,7 +18,7 @@ api_bind_addr = "0.0.0.0:3903"
 ```
 
 This will allow anyone to scrape Prometheus metrics by fetching
-`http://localhost:3093/metrics`. If you want to restrict access
+`http://localhost:3903/metrics`. If you want to restrict access
 to the exported metrics, set the `metrics_token` configuration value
 to a bearer token to be used when fetching the metrics endpoint.
 

doc/book/cookbook/real-world.md

@@ -53,9 +53,9 @@ to store 2 TB of data in total.
 
 ### Best practices
 
-- If you have fast dedicated networking between all your nodes, and are planing to store
-  very large files, bump the `block_size` configuration parameter to 10 MB
-  (`block_size = 10485760`).
+- If you have reasonably fast networking between all your nodes, and are planing to store
+  mostly large files, bump the `block_size` configuration parameter to 10 MB
+  (`block_size = "10M"`).
 
 - Garage stores its files in two locations: it uses a metadata directory to store frequently-accessed
   small metadata items, and a data directory to store data blocks of uploaded objects.
@@ -68,31 +68,42 @@ to store 2 TB of data in total.
   EXT4 is not recommended as it has more strict limitations on the number of inodes,
   which might cause issues with Garage when large numbers of objects are stored.
 
-- If you only have an HDD and no SSD, it's fine to put your metadata alongside the data
-  on the same drive. Having lots of RAM for your kernel to cache the metadata will
-  help a lot with performance.  Make sure to use the LMDB database engine,
-  instead of Sled, which suffers from quite bad performance degradation on HDDs.
-  Sled is still the default for legacy reasons, but is not recommended anymore.
-
-- For the metadata storage, Garage does not do checksumming and integrity
-  verification on its own. If you are afraid of bitrot/data corruption,
-  put your metadata directory on a ZFS or BTRFS partition. Otherwise, just use regular
-  EXT4 or XFS.
-
 - Servers with multiple HDDs are supported natively by Garage without resorting
   to RAID, see [our dedicated documentation page](@/documentation/operations/multi-hdd.md).
 
+- For the metadata storage, Garage does not do checksumming and integrity
+  verification on its own, so it is better to use a robust filesystem such as
+  BTRFS or ZFS. Users have reported that when using the LMDB database engine
+  (the default), database files have a tendency of becoming corrupted after an
+  unclean shutdown (e.g. a power outage), so you should take regular snapshots
+  to be able to recover from such a situation.  This can be done using Garage's
+  built-in automatic snapshotting (since v0.9.4), or by using filesystem level
+  snapshots. If you cannot do so, you might want to switch to Sqlite which is
+  more robust.
+
+- LMDB is the fastest and most tested database engine, but it has the following
+  weaknesses: 1/ data files are not architecture-independent, you cannot simply
+  move a Garage metadata directory between nodes running different architectures,
+  and 2/ LMDB is not suited for 32-bit platforms. Sqlite is a viable alternative
+  if any of these are of concern.
+
+- If you only have an HDD and no SSD, it's fine to put your metadata alongside
+  the data on the same drive, but then consider your filesystem choice wisely
+  (see above). Having lots of RAM for your kernel to cache the metadata will
+  help a lot with performance.  The default LMDB database engine is the most
+  tested and has good performance.
+
 ## Get a Docker image
 
 Our docker image is currently named `dxflrs/garage` and is stored on the [Docker Hub](https://hub.docker.com/r/dxflrs/garage/tags?page=1&ordering=last_updated).
-We encourage you to use a fixed tag (eg. `v0.9.1`) and not the `latest` tag.
-For this example, we will use the latest published version at the time of the writing which is `v0.9.1` but it's up to you
+We encourage you to use a fixed tag (eg. `v1.0.1`) and not the `latest` tag.
+For this example, we will use the latest published version at the time of the writing which is `v1.0.1` but it's up to you
 to check [the most recent versions on the Docker Hub](https://hub.docker.com/r/dxflrs/garage/tags?page=1&ordering=last_updated).
 
 For example:
 
 ```
-sudo docker pull dxflrs/garage:v0.9.1
+sudo docker pull dxflrs/garage:v1.0.1
 ```
 
 ## Deploying and configuring Garage
@@ -115,8 +126,9 @@ A valid `/etc/garage.toml` for our cluster would look as follows:
 metadata_dir = "/var/lib/garage/meta"
 data_dir = "/var/lib/garage/data"
 db_engine = "lmdb"
+metadata_auto_snapshot_interval = "6h"
 
-replication_mode = "3"
+replication_factor = 3
 
 compression_level = 2
 
@@ -140,6 +152,8 @@ Check the following for your configuration files:
 - Make sure `rpc_public_addr` contains the public IP address of the node you are configuring.
   This parameter is optional but recommended: if your nodes have trouble communicating with
   one another, consider adding it.
+  Alternatively, you can also set `rpc_public_addr_subnet`, which can filter
+  the addresses announced to other peers to a specific subnet.
 
 - Make sure `rpc_secret` is the same value on all nodes. It should be a 32-bytes hex-encoded secret key.
   You can generate such a key with `openssl rand -hex 32`.
@@ -157,7 +171,7 @@ docker run \
   -v /etc/garage.toml:/etc/garage.toml \
   -v /var/lib/garage/meta:/var/lib/garage/meta \
   -v /var/lib/garage/data:/var/lib/garage/data \
-  dxflrs/garage:v0.9.1
+  dxflrs/garage:v1.0.1
 ```
 
 With this command line, Garage should be started automatically at each boot.
@@ -171,7 +185,7 @@ If you want to use `docker-compose`, you may use the following `docker-compose.y
 version: "3"
 services:
   garage:
-    image: dxflrs/garage:v0.9.1
+    image: dxflrs/garage:v1.0.1
     network_mode: "host"
     restart: unless-stopped
     volumes:
@@ -187,7 +201,7 @@ upgrades.  With the containerized setup proposed here, the upgrade process
 will require stopping and removing the existing container, and re-creating it
 with the upgraded version.
 
-## Controling the daemon
+## Controlling the daemon
 
 The `garage` binary has two purposes:
   - it acts as a daemon when launched with `garage server`
@@ -245,7 +259,7 @@ You can then instruct nodes to connect to one another as follows:
 Venus$ garage node connect 563e1ac825ee3323aa441e72c26d1030d6d4414aeb3dd25287c531e7fc2bc95d@[fc00:1::1]:3901
 ```
 
-You don't nead to instruct all node to connect to all other nodes:
+You don't need to instruct all node to connect to all other nodes:
 nodes will discover one another transitively.
 
 Now if your run `garage status` on any node, you should have an output that looks as follows:

doc/book/cookbook/reverse-proxy.md

@@ -472,3 +472,32 @@ https:// {
 
 More information on how this endpoint is implemented in Garage is available
 in the [Admin API Reference](@/documentation/reference-manual/admin-api.md) page.
+
+### Fileserver browser
+
+Caddy's built-in
+[file_server](https://caddyserver.com/docs/caddyfile/directives/file_server)
+browser functionality can be extended with the
+[caddy-fs-s3](https://github.com/sagikazarmark/caddy-fs-s3) module.
+
+This can be configured to use Garage as a backend with the following
+configuration:
+
+```caddy
+browse.garage.tld {
+    file_server {
+        fs s3 {
+            bucket test-bucket
+            region garage
+
+            endpoint https://s3.garage.tld
+            use_path_style
+        }
+
+        browse
+    }
+}
+```
+
+Caddy must also be configured with the required `AWS_ACCESS_KEY_ID` and
+`AWS_SECRET_ACCESS_KEY` environment variables to access the bucket.

doc/book/design/goals.md

@@ -48,7 +48,22 @@ locations. They use Garage themselves for the following tasks:
 
 - As a backup target using `rclone` and `restic`
 
-- In the Drone continuous integration platform to store task logs
-
 The Deuxfleurs Garage cluster is a multi-site cluster currently composed of
 9 nodes in 3 physical locations.
+
+### Triplebit
+
+[Triplebit](https://www.triplebit.org) is a non-profit hosting provider and
+ISP focused on improving access to privacy-related services. They use
+Garage themselves for the following tasks:
+
+- Hosting of their homepage, [privacyguides.org](https://www.privacyguides.org/), and various other static sites
+
+- As a Mastodon object storage backend for [mstdn.party](https://mstdn.party/) and [mstdn.plus](https://mstdn.plus/)
+
+- As a PeerTube storage backend for [neat.tube](https://neat.tube/)
+
+- As a [Matrix media backend](https://github.com/matrix-org/synapse-s3-storage-provider)
+
+Triplebit's Garage cluster is a multi-site cluster currently composed of
+10 nodes in 3 physical locations.

doc/book/design/internals.md

@@ -97,7 +97,7 @@ delete a tombstone, the following condition has to be met:
   superseeded by the tombstone. This ensures that deleting the tombstone is
   safe and that no deleted value will come back in the system.
 
-Garage makes use of Sled's atomic operations (such as compare-and-swap and
+Garage uses atomic database operations (such as compare-and-swap and
 transactions) to ensure that only tombstones that have been correctly
 propagated to other nodes are ever deleted from the local entry tree.
 

doc/book/design/related-work.md

@@ -67,7 +67,7 @@ Pithos has been abandonned and should probably not used yet, in the following we
 Pithos was relying as a S3 proxy in front of Cassandra (and was working with Scylla DB too).
 From its designers' mouth, storing data in Cassandra has shown its limitations justifying the project abandonment.
 They built a closed-source version 2 that does not store blobs in the database (only metadata) but did not communicate further on it.
-We considered there v2's design but concluded that it does not fit both our *Self-contained & lightweight* and *Simple* properties. It makes the development, the deployment and the operations more complicated while reducing the flexibility.
+We considered their v2's design but concluded that it does not fit both our *Self-contained & lightweight* and *Simple* properties. It makes the development, the deployment and the operations more complicated while reducing the flexibility.
 
 **[Riak CS](https://docs.riak.com/riak/cs/2.1.1/index.html):**
 *Not written yet*

doc/book/development/devenv.md

@@ -80,7 +80,7 @@ nix-build \
   --git_version $(git rev-parse HEAD)
 ```
 
-*The result is located in `result/bin`. You can pass arguments to cross compile: check `.drone.yml` for examples.*
+*The result is located in `result/bin`. You can pass arguments to cross compile: check `.woodpecker/release.yml` for examples.*
 
 If you modify a `Cargo.toml` or regenerate any `Cargo.lock`, you must run `cargo2nix`:
 

doc/book/development/miscellaneous-notes.md

@@ -81,12 +81,9 @@ Our cache will be checked.
  - http://www.lpenz.org/articles/nixchannel/index.html
 
 
-## Drone
+## Woodpecker
 
-Do not try to set a build as trusted from the interface or the CLI tool,
-your request would be ignored. Instead, directly edit the database (table `repos`, column `repo_trusted`).
-
-Drone can do parallelism both at the step and the pipeline level. At the step level, parallelism is restricted to the same runner.
+Woodpecker can do parallelism both at the step and the pipeline level. At the step level, parallelism is restricted to the same runner.
 
 ## Building Docker containers
 
@@ -99,3 +96,4 @@ We were:
   - Unable to use the kaniko container provided by Google as we can't run arbitrary logic: we need to put our secret in .docker/config.json.
 
 Finally we chose to build kaniko through nix and use it in a `nix-shell`.
+We then switched to using kaniko from nixpkgs when it was packaged.

doc/book/development/release-process.md

@@ -42,7 +42,7 @@ and the docker containers on Docker Hub.
 
 ## Automation
 
-We automated our release process with Nix and Drone to make it more reliable.
+We automated our release process with Nix and Woodpecker to make it more reliable.
 Here we describe how we have done in case you want to debug or improve it.
 
 ### Caching build steps
@@ -62,52 +62,31 @@ Sending to the cache is done through `nix copy`, for example:
 nix copy --to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/signing-key.sec' result
 ```
 
-*Note that you need the signing key. In our case, it is stored as a secret in Drone.*
+*The signing key possessed by the Garage maintainers is required to update the Nix cache.*
 
-The previous command will only send the built packet and not its dependencies.
-To send its dependency, a tool named `nix-copy-closure` has been created but it is not compatible with the S3 protocol.
-
-Instead, you can use the following commands to list all the runtime dependencies:
+The previous command will only send the built package and not its dependencies.
+In the case of our CI pipeline, we want to cache all intermediate build steps
+as well. This can be done using this quite involved command (here as an example
+for the `pkgs.amd64.relase` package):
 
 ```bash
-nix copy \
-  --to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/signing-key.sec' \
-  $(nix-store -qR result/)
+nix copy -j8 \
+    --to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/nix-signing-key.sec' \
+    $(nix path-info pkgs.amd64.release --file default.nix --derivation --recursive | sed 's/\.drv$/.drv^*/')
 ```
 
-*We could also write this expression with xargs but this tool is not available in our container.*
+This command will simultaneously build all of the required Nix paths (using at
+most 8 parallel Nix builder jobs) and send the resulting objects to the cache.
 
-But in certain cases, we want to cache compile time dependencies also.
-For example, the Nix project does not provide binaries for cross compiling to i686 and thus we need to compile gcc on our own.
-We do not want to compile gcc each time, so even if it is a compile time dependency, we want to cache it.
-
-This time, the command is a bit more involved:
-
-```bash
-nix copy --to \
-  's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/signing-key.sec' \
-   $(nix-store -qR --include-outputs \
-     $(nix-instantiate))
-```
-
-This is the command we use in our CI as we expect the final binary to change, so we mainly focus on
-caching our development dependencies.
-
-*Currently there is no automatic garbage collection of the cache: we should monitor its growth.
-Hopefully, we can erase it totally without breaking any build, the next build will only be slower.*
-
-In practise, we concluded that we do not want to cache all the compilation dependencies.
-Instead, we want to cache the toolchain we use to build Garage each time we change it.
-So we removed from Drone any automatic update of the cache and instead handle them manually with:
+This can be run for all the Garage packages we build using the following command:
 
 ```
 source ~/.awsrc
-nix-shell --run 'refresh_toolchain'
+nix-shell --attr cache --run 'refresh_cache'
 ```
 
-Internally, it will run `nix-build` on  `nix/toolchain.nix` and send the output plus its depedencies to the cache.
-
-To erase the cache:
+We don't automate this step at each CI build, as *there is currently no automatic garbage collection of the cache.*
+This means we should also monitor the cache's size; if it ever becomes too big we can erase it with:
 
 ```
 mc rm --recursive --force 'garage/nix/'
@@ -157,9 +136,9 @@ nix-shell --run refresh_index
 
 If you want to compile for different architectures, you will need to repeat all these commands for each architecture.
 
-**In practise, and except for debugging, you will never directly run these commands. Release is handled by drone**
+**In practice, and except for debugging, you will never directly run these commands. Release is handled by Woodpecker.**
 
-### Drone
+### Drone (obsolete)
 
 Our instance is available at [https://drone.deuxfleurs.fr](https://drone.deuxfleurs.fr).  
 You need an account on [https://git.deuxfleurs.fr](https://git.deuxfleurs.fr) to use it.

doc/book/operations/durability-repairs.md

@@ -19,7 +19,7 @@ connecting to. To run on all nodes, add the `-a` flag as follows:
 
 # Data block operations
 
-## Data store scrub
+## Data store scrub {#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
@@ -49,7 +49,7 @@ 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
+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
@@ -95,7 +95,7 @@ using the `garage block purge` command.
 
 In [multi-HDD setups](@/documentation/operations/multi-hdd.md), to ensure that
 data blocks are well balanced between storage locations, you may run a
-rebalance operation using `garage repair rebalance`. This is usefull when
+rebalance operation using `garage repair rebalance`. This is useful when
 adding storage locations or when capacities of the storage locations have been
 changed.  Once this is finished, Garage will know for each block of a single
 possible location where it can be, which can increase access speed.  This
@@ -104,6 +104,24 @@ operation will also move out all data from locations marked as read-only.
 
 # Metadata operations
 
+## Metadata snapshotting
+
+It is good practice to setup automatic snapshotting of your metadata database
+file, to recover from situations where it becomes corrupted on disk. This can
+be done at the filesystem level if you are using ZFS or BTRFS.
+
+Since Garage v0.9.4, Garage is able to take snapshots of the metadata database
+itself. This basically amounts to copying the database file, except that it can
+be run live while Garage is running without the risk of corruption or
+inconsistencies.  This can be setup to run automatically on a schedule using
+[`metadata_auto_snapshot_interval`](@/documentation/reference-manual/configuration.md#metadata_auto_snapshot_interval).
+A snapshot can also be triggered manually using the `garage meta snapshot`
+command. Note that taking a snapshot using this method is very intensive as it
+requires making a full copy of the database file, so you might prefer using
+filesystem-level snapshots if possible. To recover a corrupted node from such a
+snapshot, read the instructions
+[here](@/documentation/operations/recovering.md#corrupted_meta).
+
 ## Metadata table resync
 
 Garage automatically resyncs all entries stored in the metadata tables every hour,
@@ -123,4 +141,7 @@ blocks may still be held by Garage. If you suspect that such corruption has occu
 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)
+
+- `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)
+
+- `garage repair block-rc`: checks that the reference counters for blocks are in sync with the actual number of non-deleted entries in the block reference table

doc/book/operations/layout.md

@@ -12,8 +12,8 @@ An introduction to building cluster layouts can be found in the [production depl
 In Garage, all of the data that can be stored in a given cluster is divided
 into slices which we call *partitions*. Each partition is stored by
 one or several nodes in the cluster
-(see [`replication_mode`](@/documentation/reference-manual/configuration.md#replication_mode)).
-The layout determines the correspondence between these partition,
+(see [`replication_factor`](@/documentation/reference-manual/configuration.md#replication_factor)).
+The layout determines the correspondence between these partitions,
 which exist on a logical level, and actual storage nodes.
 
 ## How cluster layouts work in Garage
@@ -94,10 +94,10 @@ follow the following recommendations:
 ## Understanding unexpected layout calculations
 
 When adding, removing or modifying nodes in a cluster layout, sometimes
-unexpected assigntations of partitions to node can occur. These assignations
-are in fact normal and logical, given the objectives of the algorihtm.  Indeed,
-**the layout algorithm prioritizes moving less data between nodes over the fact
-of achieving equal distribution of load. It also tries to use all links between
+unexpected assignations of partitions to node can occur. These assignations
+are in fact normal and logical, given the objectives of the algorithm.  Indeed,
+**the layout algorithm prioritizes moving less data between nodes over
+achieving equal distribution of load. It also tries to use all links between
 pairs of nodes in equal proportions when moving data.**  This section presents
 two examples and illustrates how one can control Garage's behavior to obtain
 the desired results.
@@ -270,5 +270,5 @@ that is moved to node1).
 This illustrates the second principle of the layout computation: **if there is
 a choice in moving data out of some nodes, then all links between pairs of
 nodes are used in equal proportions** (this is approximately true, there is
-randomness in the algorihtm to achieve this so there might be some small
+randomness in the algorithm to achieve this so there might be some small
 fluctuations, as we see above).

doc/book/operations/recovering.md

@@ -5,7 +5,7 @@ weight = 40
 
 Garage is meant to work on old, second-hand hardware.
 In particular, this makes it likely that some of your drives will fail, and some manual intervention will be needed.
-Fear not! For Garage is fully equipped to handle drive failures, in most common cases.
+Fear not! Garage is fully equipped to handle drive failures, in most common cases.
 
 ## A note on availability of Garage
 
@@ -108,3 +108,57 @@ garage layout apply   # once satisfied, apply the changes
 
 Garage will then start synchronizing all required data on the new node.
 This process can be monitored using the `garage stats -a` command.
+
+## Replacement scenario 3: corrupted metadata {#corrupted_meta}
+
+In some cases, your metadata DB file might become corrupted, for instance if
+your node suffered a power outage and did not shut down properly. In this case,
+you can recover without having to change the node ID and rebuilding a cluster
+layout. This means that data blocks will not need to be shuffled around, you
+must simply find a way to repair the metadata file. The best way is generally
+to discard the corrupted file and recover it from another source.
+
+First of all, start by locating the database file in your metadata directory,
+which [depends on your `db_engine`
+choice](@/documentation/reference-manual/configuration.md#db_engine).  Then,
+your recovery options are as follows:
+
+- **Option 1: resyncing from other nodes.** In case your cluster is replicated
+  with two or three copies, you can simply delete the database file, and Garage
+  will resync from other nodes. To do so, stop Garage, delete the database file
+  or directory, and restart Garage. Then, do a full table repair by calling
+  `garage repair -a --yes tables`.  This will take a bit of time to complete as
+  the new node will need to receive copies of the metadata tables from the
+  network.
+
+- **Option 2: restoring a snapshot taken by Garage.** Since v0.9.4, Garage can
+  [automatically take regular
+  snapshots](@/documentation/reference-manual/configuration.md#metadata_auto_snapshot_interval)
+  of your metadata DB file. This file or directory should be located under
+  `<metadata_dir>/snapshots`, and is named according to the UTC time at which it
+  was taken. Stop Garage, discard the database file/directory and replace it by the
+  snapshot you want to use. For instance, in the case of LMDB:
+
+  ```bash
+  cd $METADATA_DIR
+  mv db.lmdb db.lmdb.bak
+  cp -r snapshots/2024-03-15T12:13:52Z db.lmdb
+  ```
+
+  And for Sqlite:
+
+  ```bash
+  cd $METADATA_DIR
+  mv db.sqlite db.sqlite.bak
+  cp snapshots/2024-03-15T12:13:52Z db.sqlite
+  ```
+
+  Then, restart Garage and run a full table repair by calling `garage repair -a
+  --yes tables`.  This should run relatively fast as only the changes that
+  occurred since the snapshot was taken will need to be resynchronized. Of
+  course, if your cluster is not replicated, you will lose all changes that
+  occurred since the snapshot was taken.
+
+- **Option 3: restoring a filesystem-level snapshot.** If you are using ZFS or
+  BTRFS to snapshot your metadata partition, refer to their specific
+  documentation on rolling back or copying files from an old snapshot.

doc/book/operations/upgrading.md

@@ -9,7 +9,7 @@ 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:
+You can quickly know 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).
@@ -73,6 +73,18 @@ The entire procedure would look something like this:
   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.
 
+  **Since Garage v0.9.4,** you can use the `garage meta snapshot --all` command
+  to take a simultaneous snapshot of the metadata database files of all your
+  nodes.  This avoids the tedious process of having to take them down one by
+  one before upgrading. Be careful that if automatic snapshotting is enabled,
+  Garage only keeps the last two snapshots and deletes older ones, so you might
+  want to disable automatic snapshotting in your upgraded configuration file
+  until you have confirmed that the upgrade ran successfully.  In addition to
+  snapshotting the metadata databases of your nodes, you should back-up at
+  least the `cluster_layout` file of one of your Garage instances (this file
+  should be the same on all nodes and you can copy it safely while Garage is
+  running).
+
 3. Prepare your binaries and configuration files for the new Garage version
 
 4. Restart all nodes simultaneously in the new version

doc/book/quick-start/_index.md

@@ -42,6 +42,13 @@ 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).
 
+If none of these option work for you, you can also run Garage in a Docker
+container.  When using Docker, the commands used in this guide will not work
+anymore.  We recommend reading the tutorial on [configuring a
+multi-node cluster](@/documentation/cookbook/real-world.md) to learn about
+using Garage as a Docker container. For simplicity, a minimal command to launch
+Garage using Docker is provided in this quick start guide as well.
+
 
 ## Configuring and starting Garage
 
@@ -57,9 +64,9 @@ to generate unique and private secrets for security reasons:
 cat > garage.toml <<EOF
 metadata_dir = "/tmp/meta"
 data_dir = "/tmp/data"
-db_engine = "lmdb"
+db_engine = "sqlite"
 
-replication_mode = "none"
+replication_factor = 1
 
 rpc_bind_addr = "[::]:3901"
 rpc_public_addr = "127.0.0.1:3901"
@@ -79,11 +86,15 @@ index = "index.html"
 api_bind_addr = "[::]:3904"
 
 [admin]
-api_bind_addr = "0.0.0.0:3903"
+api_bind_addr = "[::]:3903"
 admin_token = "$(openssl rand -base64 32)"
+metrics_token = "$(openssl rand -base64 32)"
 EOF
 ```
 
+See the [Configuration file format](https://garagehq.deuxfleurs.fr/documentation/reference-manual/configuration/)
+for complete options and values.
+
 Now that your configuration file has been created, you may save it to the directory of your choice.
 By default, Garage looks for **`/etc/garage.toml`.**
 You can also store it somewhere else, but you will have to specify `-c path/to/garage.toml`
@@ -110,10 +121,31 @@ garage -c path/to/garage.toml server
 
 If you have placed the `garage.toml` file in `/etc` (its default location), you can simply run `garage server`.
 
-You can tune Garage's verbosity as follows (from less verbose to more verbose):
+Alternatively, if you cannot or do not wish to run the Garage binary directly,
+you may use Docker to run Garage in a container using the following command:
 
+```bash
+docker run \
+  -d \
+  --name garaged \
+  -p 3900:3900 -p 3901:3901 -p 3902:3902 -p 3903:3903 \
+  -v /etc/garage.toml:/path/to/garage.toml \
+  -v /var/lib/garage/meta:/path/to/garage/meta \
+  -v /var/lib/garage/data:/path/to/garage/data \
+  dxflrs/garage:v0.9.4
 ```
-RUST_LOG=garage=info garage server
+
+Under Linux, you can substitute `--network host` for `-p 3900:3900 -p 3901:3901 -p 3902:3902 -p 3903:3903`
+
+#### Troubleshooting
+
+Ensure your configuration file, `metadata_dir` and `data_dir`  are readable by the user running the `garage` server or Docker.
+
+You can tune Garage's verbosity by setting the `RUST_LOG=` environment variable. \
+Available log levels are (from less verbose to more verbose): `error`, `warn`, `info` *(default)*, `debug` and `trace`.
+
+```bash
+RUST_LOG=garage=info garage server # default
 RUST_LOG=garage=debug garage server
 RUST_LOG=garage=trace garage server
 ```
@@ -129,6 +161,9 @@ It uses values from the TOML configuration file to find the Garage daemon runnin
 local node, therefore if your configuration file is not at `/etc/garage.toml` you will
 again have to specify `-c path/to/garage.toml` at each invocation.
 
+If you are running Garage in a Docker container, you can set `alias garage="docker exec -ti <container name> /garage"`
+to use the Garage binary inside your container.
+
 If the `garage` CLI is able to correctly detect the parameters of your local Garage node,
 the following command should be enough to show the status of your cluster:
 
@@ -249,7 +284,7 @@ garage bucket info nextcloud-bucket
 ```
 
 
-## Uploading and downlading from Garage
+## Uploading and downloading from Garage
 
 To download and upload files on garage, we can use a third-party tool named `awscli`.
 

doc/book/reference-manual/admin-api.md

@@ -8,8 +8,8 @@ listen address is specified in the `[admin]` section of the configuration
 file (see [configuration file
 reference](@/documentation/reference-manual/configuration.md))
 
-**WARNING.** At this point, there is no comittement to stability of the APIs described in this document.
-We will bump the version numbers prefixed to each API endpoint at each time the syntax
+**WARNING.** At this point, there is no commitment to the stability of the APIs described in this document.
+We will bump the version numbers prefixed to each API endpoint each time the syntax
 or semantics change, meaning that code that relies on these endpoint will break
 when changes are introduced.
 
@@ -22,7 +22,7 @@ Versions:
 
 ## Access control
 
-The admin API uses two different tokens for acces control, that are specified in the config file's `[admin]` section:
+The admin API uses two different tokens for access control, that are specified in the config file's `[admin]` section:
 
 - `metrics_token`: the token for accessing the Metrics endpoint (if this token
   is not set in the config file, the Metrics endpoint can be accessed without
@@ -88,8 +88,8 @@ 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.
+To prevent abuse for on-demand TLS, Caddy developers 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 these 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
@@ -102,7 +102,7 @@ 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`.
+**Example:** Suppose a Garage instance is 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:
 

doc/book/reference-manual/configuration.md

@@ -8,30 +8,38 @@ weight = 20
 Here is an example `garage.toml` configuration file that illustrates all of the possible options:
 
 ```toml
-replication_mode = "3"
+replication_factor = 3
+consistency_mode = "consistent"
 
 metadata_dir = "/var/lib/garage/meta"
 data_dir = "/var/lib/garage/data"
 metadata_fsync = true
 data_fsync = false
+disable_scrub = false
+metadata_auto_snapshot_interval = "6h"
 
 db_engine = "lmdb"
 
-block_size = 1048576
+block_size = "1M"
+block_ram_buffer_max = "256MiB"
 
-sled_cache_capacity = "128MiB"
-sled_flush_every_ms = 2000
 lmdb_map_size = "1T"
 
 compression_level = 1
 
 rpc_secret = "4425f5c26c5e11581d3223904324dcb5b5d5dfb14e5e7f35e38c595424f5f1e6"
 rpc_bind_addr = "[::]:3901"
+rpc_bind_outgoing = false
 rpc_public_addr = "[fc00:1::1]:3901"
+# or set rpc_public_adr_subnet to filter down autodiscovery to a subnet:
+# rpc_public_addr_subnet = "2001:0db8:f00:b00:/64"
+
+
+allow_world_readable_secrets = false
 
 bootstrap_peers = [
     "563e1ac825ee3323aa441e72c26d1030d6d4414aeb3dd25287c531e7fc2bc95d@[fc00:1::1]:3901",
-    "86f0f26ae4afbd59aaf9cfb059eefac844951efd5b8caeec0d53f4ed6c85f332[fc00:1::2]:3901",
+    "86f0f26ae4afbd59aaf9cfb059eefac844951efd5b8caeec0d53f4ed6c85f332@[fc00:1::2]:3901",
     "681456ab91350f92242e80a531a3ec9392cb7c974f72640112f90a600d7921a4@[fc00:B::1]:3901",
     "212fd62eeaca72c122b45a7f4fa0f55e012aa5e24ac384a72a3016413fa724ff@[fc00:F::1]:3901",
 ]
@@ -68,8 +76,8 @@ root_domain = ".web.garage"
 
 [admin]
 api_bind_addr = "0.0.0.0:3903"
-metrics_token = "cacce0b2de4bc2d9f5b5fdff551e01ac1496055aed248202d415398987e35f81"
-admin_token = "ae8cb40ea7368bbdbb6430af11cca7da833d3458a5f52086f4e805a570fb5c2a"
+metrics_token = "BCAdFjoa9G0KJR0WXnHHm7fs1ZAbfpI8iIZ+Z/a2NgI="
+admin_token = "UkLeGWEvHnXBqnueR3ISEMWpOnm40jH2tM2HnnL/0F4="
 trace_sink = "http://localhost:4317"
 ```
 
@@ -79,33 +87,39 @@ The following gives details about each available configuration option.
 
 ### Index
 
+[Environment variables](#env_variables).
+
 Top-level configuration options:
+[`allow_world_readable_secrets`](#allow_world_readable_secrets),
+[`block_ram_buffer_max`](#block_ram_buffer_max),
 [`block_size`](#block_size),
 [`bootstrap_peers`](#bootstrap_peers),
 [`compression_level`](#compression_level),
-[`data_dir`](#metadata_dir),
+[`data_dir`](#data_dir),
 [`data_fsync`](#data_fsync),
 [`db_engine`](#db_engine),
+[`disable_scrub`](#disable_scrub),
 [`lmdb_map_size`](#lmdb_map_size),
+[`metadata_auto_snapshot_interval`](#metadata_auto_snapshot_interval),
 [`metadata_dir`](#metadata_dir),
 [`metadata_fsync`](#metadata_fsync),
-[`replication_mode`](#replication_mode),
+[`replication_factor`](#replication_factor),
+[`consistency_mode`](#consistency_mode),
 [`rpc_bind_addr`](#rpc_bind_addr),
+[`rpc_bind_outgoing`](#rpc_bind_outgoing),
 [`rpc_public_addr`](#rpc_public_addr),
-[`rpc_secret`](#rpc_secret),
-[`rpc_secret_file`](#rpc_secret),
-[`sled_cache_capacity`](#sled_cache_capacity),
-[`sled_flush_every_ms`](#sled_flush_every_ms).
+[`rpc_public_addr_subnet`](#rpc_public_addr_subnet)
+[`rpc_secret`/`rpc_secret_file`](#rpc_secret).
 
 The `[consul_discovery]` section:
 [`api`](#consul_api),
 [`ca_cert`](#consul_ca_cert),
-[`client_cert`](#consul_client_cert),
-[`client_key`](#consul_client_cert),
+[`client_cert`](#consul_client_cert_and_key),
+[`client_key`](#consul_client_cert_and_key),
 [`consul_http_addr`](#consul_http_addr),
-[`meta`](#consul_tags),
+[`meta`](#consul_tags_and_meta),
 [`service_name`](#consul_service_name),
-[`tags`](#consul_tags),
+[`tags`](#consul_tags_and_meta),
 [`tls_skip_verify`](#consul_tls_skip_verify),
 [`token`](#consul_token).
 
@@ -125,20 +139,36 @@ The `[s3_web]` section:
 
 The `[admin]` section:
 [`api_bind_addr`](#admin_api_bind_addr),
-[`metrics_token`](#admin_metrics_token),
-[`metrics_token_file`](#admin_metrics_token),
-[`admin_token`](#admin_token),
-[`admin_token_file`](#admin_token),
+[`metrics_token`/`metrics_token_file`](#admin_metrics_token),
+[`admin_token`/`admin_token_file`](#admin_token),
 [`trace_sink`](#admin_trace_sink),
 
+### Environment variables {#env_variables}
+
+The following configuration parameter must be specified as an environment
+variable, it does not exist in the configuration file:
+
+- `GARAGE_LOG_TO_SYSLOG` (since v0.9.4): set this to `1` or `true` to make the
+  Garage daemon send its logs to `syslog` (using the libc `syslog` function)
+  instead of printing to stderr.
+
+The following environment variables can be used to override the corresponding
+values in the configuration file:
+
+- [`GARAGE_ALLOW_WORLD_READABLE_SECRETS`](#allow_world_readable_secrets)
+- [`GARAGE_RPC_SECRET` and `GARAGE_RPC_SECRET_FILE`](#rpc_secret)
+- [`GARAGE_ADMIN_TOKEN` and `GARAGE_ADMIN_TOKEN_FILE`](#admin_token)
+- [`GARAGE_METRICS_TOKEN` and `GARAGE_METRICS_TOKEN`](#admin_metrics_token)
+
 
 ### Top-level configuration options
 
-#### `replication_mode` {#replication_mode}
+#### `replication_factor` {#replication_factor}
 
-Garage supports the following replication modes:
+The replication factor can be any positive integer smaller or equal the node count in your cluster.
+The chosen replication factor has a big impact on the cluster's failure tolerancy and performance characteristics.
 
-- `none` or `1`: data stored on Garage is stored on a single node. There is no
+- `1`: data stored on Garage is stored on a single node. There is no
   redundancy, and data will be unavailable as soon as one node fails or its
   network is disconnected.  Do not use this for anything else than test
   deployments.
@@ -149,17 +179,6 @@ Garage supports the following replication modes:
   before losing data. Data remains available in read-only mode when one node is
   down, but write operations will fail.
 
-  - `2-dangerous`: a variant of mode `2`, where written objects are written to
-    the second replica asynchronously. This means that Garage will return `200
-    OK` to a PutObject request before the second copy is fully written (or even
-    before it even starts being written).  This means that data can more easily
-    be lost if the node crashes before a second copy can be completed.  This
-    also means that written objects might not be visible immediately in read
-    operations.  In other words, this mode severely breaks the consistency and
-    durability guarantees of standard Garage cluster operation.  Benefits of
-    this mode: you can still write to your cluster when one node is
-    unavailable.
-
 - `3`: data stored on Garage will be stored on three different nodes, if
   possible each in a different zones.  Garage tolerates two node failure, or
   several node failures but in no more than two zones (in a deployment with at
@@ -167,55 +186,84 @@ Garage supports the following replication modes:
   or node failures are only in a single zone, reading and writing data to
   Garage can continue normally.
 
-  - `3-degraded`: a variant of replication mode `3`, that lowers the read
-    quorum to `1`, to allow you to read data from your cluster when several
-    nodes (or nodes in several zones) are unavailable.  In this mode, Garage
-    does not provide read-after-write consistency anymore.  The write quorum is
-    still 2, ensuring that data successfully written to Garage is stored on at
-    least two nodes.
-
-  - `3-dangerous`: a variant of replication mode `3` that lowers both the read
-    and write quorums to `1`, to allow you to both read and write to your
-    cluster when several nodes (or nodes in several zones) are unavailable.  It
-    is the least consistent mode of operation proposed by Garage, and also one
-    that should probably never be used.
+- `5`, `7`, ...: When setting the replication factor above 3, it is most useful to
+  choose an uneven value, since for every two copies added, one more node can fail
+  before losing the ability to write and read to the cluster.
 
 Note that in modes `2` and `3`,
 if at least the same number of zones are available, an arbitrary number of failures in
 any given zone is tolerated as copies of data will be spread over several zones.
 
-**Make sure `replication_mode` is the same in the configuration files of all nodes.
+**Make sure `replication_factor` is the same in the configuration files of all nodes.
 Never run a Garage cluster where that is not the case.**
 
+It is technically possible to change the replication factor although it's a
+dangerous operation that is not officially supported.  This requires you to
+delete the existing cluster layout and create a new layout from scratch,
+meaning that a full rebalancing of your cluster's data will be needed.  To do
+it, shut down your cluster entirely, delete the `custer_layout` files in the
+meta directories of all your nodes, update all your configuration files with
+the new `replication_factor` parameter, restart your cluster, and then create a
+new layout with all the nodes you want to keep.  Rebalancing data will take
+some time, and data might temporarily appear unavailable to your users.
+It is recommended to shut down public access to the cluster while rebalancing
+is in progress.  In theory, no data should be lost as rebalancing is a
+routine operation for Garage, although we cannot guarantee you that everything
+ will go right in such an extreme scenario.
+
+#### `consistency_mode` {#consistency_mode}
+
+The consistency mode setting determines the read and write behaviour of your cluster.
+
+  - `consistent`: The default setting. This is what the paragraph above describes.
+    The read and write quorum will be determined so that read-after-write consistency
+    is guaranteed.
+  - `degraded`: Lowers the read
+    quorum to `1`, to allow you to read data from your cluster when several
+    nodes (or nodes in several zones) are unavailable.  In this mode, Garage
+    does not provide read-after-write consistency anymore.
+    The write quorum stays the same as in the `consistent` mode, ensuring that
+    data successfully written to Garage is stored on multiple nodes (depending
+    the replication factor).
+  - `dangerous`: This mode lowers both the read
+    and write quorums to `1`, to allow you to both read and write to your
+    cluster when several nodes (or nodes in several zones) are unavailable.  It
+    is the least consistent mode of operation proposed by Garage, and also one
+    that should probably never be used.
+
+Changing the `consistency_mode` between modes while leaving the `replication_factor` untouched
+(e.g. setting your node's `consistency_mode` to `degraded` when it was previously unset, or from
+`dangerous` to `consistent`), can be done easily by just changing the `consistency_mode`
+parameter in your config files and restarting all your Garage nodes.
+
+The consistency mode can be used together with various replication factors, to achieve
+a wide range of read and write characteristics. Some examples:
+
+  - Replication factor `2`, consistency mode `degraded`: While this mode
+    technically exists, its properties are the same as with consistency mode `consistent`,
+    since the read quorum with replication factor `2`, consistency mode `consistent` is already 1.
+
+  - Replication factor `2`, consistency mode `dangerous`: written objects are written to
+    the second replica asynchronously. This means that Garage will return `200
+    OK` to a PutObject request before the second copy is fully written (or even
+    before it even starts being written).  This means that data can more easily
+    be lost if the node crashes before a second copy can be completed.  This
+    also means that written objects might not be visible immediately in read
+    operations.  In other words, this configuration severely breaks the consistency and
+    durability guarantees of standard Garage cluster operation.  Benefits of
+    this configuration: you can still write to your cluster when one node is
+    unavailable.
+
 The quorums associated with each replication mode are described below:
 
-| `replication_mode` | Number of replicas | Write quorum | Read quorum | Read-after-write consistency? |
-| ------------------ | ------------------ | ------------ | ----------- | ----------------------------- |
-| `none` or `1`      | 1                  | 1            | 1           | yes                           |
-| `2`                | 2                  | 2            | 1           | yes                           |
-| `2-dangerous`      | 2                  | 1            | 1           | NO                            |
-| `3`                | 3                  | 2            | 2           | yes                           |
-| `3-degraded`       | 3                  | 2            | 1           | NO                            |
-| `3-dangerous`      | 3                  | 1            | 1           | NO                            |
-
-Changing the `replication_mode` between modes with the same number of replicas
-(e.g. from `3` to `3-degraded`, or from `2-dangerous` to `2`), can be done easily by
-just changing the `replication_mode` parameter in your config files and restarting all your
-Garage nodes.
-
-It is also technically possible to change the replication mode to a mode with a
-different numbers of replicas, although it's a dangerous operation that is not
-officially supported.  This requires you to delete the existing cluster layout
-and create a new layout from scratch, meaning that a full rebalancing of your
-cluster's data will be needed.  To do it, shut down your cluster entirely,
-delete the `custer_layout` files in the meta directories of all your nodes,
-update all your configuration files with the new `replication_mode` parameter,
-restart your cluster, and then create a new layout with all the nodes you want
-to keep.  Rebalancing data will take some time, and data might temporarily
-appear unavailable to your users.  It is recommended to shut down public access
-to the cluster while rebalancing is in progress.  In theory, no data should be
-lost as rebalancing is a routine operation for Garage, although we cannot
-guarantee you that everything will go right in such an extreme scenario.
+| `consistency_mode` | `replication_factor` | Write quorum | Read quorum | Read-after-write consistency? |
+| ------------------ | -------------------- | ------------ | ----------- | ----------------------------- |
+| `consistent`       | 1                    | 1            | 1           | yes                           |
+| `consistent`       | 2                    | 2            | 1           | yes                           |
+| `dangerous`        | 2                    | 1            | 1           | NO                            |
+| `consistent`       | 3                    | 2            | 2           | yes                           |
+| `degraded`         | 3                    | 2            | 1           | NO                            |
+| `dangerous`        | 3                    | 1            | 1           | NO                            |
 
 #### `metadata_dir` {#metadata_dir}
 
@@ -251,32 +299,43 @@ Since `v0.8.0`, Garage can use alternative storage backends as follows:
 
 | DB engine | `db_engine` value | Database path |
 | --------- | ----------------- | ------------- |
-| [LMDB](https://www.lmdb.tech) (default since `v0.9.0`) | `"lmdb"` | `<metadata_dir>/db.lmdb/` |
-| [Sled](https://sled.rs) (default up to `v0.8.0`) | `"sled"` | `<metadata_dir>/db/` |
-| [Sqlite](https://sqlite.org) | `"sqlite"` | `<metadata_dir>/db.sqlite` |
+| [LMDB](https://www.symas.com/lmdb) (since `v0.8.0`, default since `v0.9.0`) | `"lmdb"` | `<metadata_dir>/db.lmdb/` |
+| [Sqlite](https://sqlite.org) (since `v0.8.0`) | `"sqlite"` | `<metadata_dir>/db.sqlite` |
+| [Sled](https://sled.rs) (old default, removed since `v1.0`) | `"sled"` | `<metadata_dir>/db/` |
 
-Sled was the only database engine up to Garage v0.7.0. Performance issues and
-API limitations of Sled prompted the addition of alternative engines in v0.8.0.
-Since v0.9.0, LMDB is the default engine instead of Sled, and Sled is
-deprecated. We plan to remove Sled in Garage v1.0.
+Sled was supported until Garage v0.9.x, and was removed in Garage v1.0.
+You can still use an older binary of Garage (e.g. v0.9.4) to migrate
+old Sled metadata databases to another engine.
 
 Performance characteristics of the different DB engines are as follows:
 
-- Sled: tends to produce large data files and also has performance issues,
-  especially when the metadata folder is on a traditional HDD and not on SSD.
+- LMDB: the recommended database engine for high-performance distributed clusters.
+LMDB works very well, but is known to have the following limitations:
 
-- LMDB: the recommended database engine on 64-bit systems, much more
-  space-efficient 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 node cannot be moved to an ARM64 node. Also note that, while LMDB can
-  technically be used on 32-bit systems, this will limit your node to very
-  small database sizes due to how LMDB works; it is therefore not recommended.
+  - The data format of LMDB is not portable between architectures, so for
+    instance the Garage database of an x86-64 node cannot be moved to an ARM64
+    node.
+
+  - While LMDB can technically be used on 32-bit systems, this will limit your
+    node to very small database sizes due to how LMDB works; it is therefore
+    not recommended.
+
+  - Several users have reported corrupted LMDB database files after an unclean
+    shutdown (e.g. a power outage). This situation can generally be recovered
+    from if your cluster is geo-replicated (by rebuilding your metadata db from
+    other nodes), or if you have saved regular snapshots at the filesystem
+    level.
+
+  - Keys in LMDB are limited to 511 bytes. This limit translates to limits on
+    object keys in S3 and sort keys in K2V that are limted to 479 bytes.
 
 - Sqlite: Garage supports Sqlite as an alternative storage backend for
-  metadata, and although it has not been tested as much, it is expected to work
-  satisfactorily.  Since Garage v0.9.0, performance issues have largely been
-  fixed by allowing for a no-fsync mode (see `metadata_fsync`). Sqlite does not
-  have the database size limitation of LMDB on 32-bit systems.
+  metadata, which does not have the issues listed above for LMDB.
+  On versions 0.8.x and earlier, Sqlite should be avoided due to abysmal
+  performance, which was fixed with the addition of `metadata_fsync`.
+  Sqlite is still probably slower than LMDB due to the way we use it,
+  so it is not the best choice for high-performance storage clusters,
+  but it should work fine in many cases.
 
 It is possible to convert Garage's metadata directory from one format to another
 using the `garage convert-db` command, which should be used as follows:
@@ -313,7 +372,6 @@ Here is how this option impacts the different database engines:
 
 | Database | `metadata_fsync = false` (default) | `metadata_fsync = true`       |
 |----------|------------------------------------|-------------------------------|
-| Sled     | default options                    | *unsupported*                 |
 | Sqlite   | `PRAGMA synchronous = OFF`         | `PRAGMA synchronous = NORMAL` |
 | LMDB     | `MDB_NOMETASYNC` + `MDB_NOSYNC`    | `MDB_NOMETASYNC`              |
 
@@ -332,6 +390,43 @@ at the cost of a moderate drop in write performance.
 Similarly to `metatada_fsync`, this is likely not necessary
 if geographical replication is used.
 
+#### `metadata_auto_snapshot_interval` (since Garage v0.9.4) {#metadata_auto_snapshot_interval}
+
+If this value is set, Garage will automatically take a snapshot of the metadata
+DB file at a regular interval and save it in the metadata directory.
+This parameter can take any duration string that can be parsed by
+the [`parse_duration`](https://docs.rs/parse_duration/latest/parse_duration/#syntax) crate.
+
+Snapshots can allow to recover from situations where the metadata DB file is
+corrupted, for instance after an unclean shutdown.  See [this
+page](@/documentation/operations/recovering.md#corrupted_meta) for details.
+Garage keeps only the two most recent snapshots of the metadata DB and deletes
+older ones automatically.
+
+Note that taking a metadata snapshot is a relatively intensive operation as the
+entire data file is copied. A snapshot being taken might have performance
+impacts on the Garage node while it is running. If the cluster is under heavy
+write load when a snapshot operation is running, this might also cause the
+database file to grow in size significantly as pages cannot be recycled easily.
+For this reason, it might be better to use filesystem-level snapshots instead
+if possible.
+
+#### `disable_scrub` {#disable_scrub}
+
+By default, Garage runs a scrub of the data directory approximately once per
+month, with a random delay to avoid all nodes running at the same time.  When
+it scrubs the data directory, Garage will read all of the data files stored on
+disk to check their integrity, and will rebuild any data files that it finds
+corrupted, using the remaining valid copies stored on other nodes.
+See [this page](@/documentation/operations/durability-repairs.md#scrub) for details.
+
+Set the `disable_scrub` configuration value to `true` if you don't need Garage
+to scrub the data directory, for instance if you are already scrubbing at the
+filesystem level. Note that in this case, if you find a corrupted data file,
+you should delete it from the data directory and then call `garage repair
+blocks` on the node to ensure that it re-obtains a copy from another node on
+the network.
+
 #### `block_size` {#block_size}
 
 Garage splits stored objects in consecutive chunks of size `block_size`
@@ -347,20 +442,36 @@ files will remain available. This however means that chunks from existing files
 will not be deduplicated with chunks from newly uploaded files, meaning you
 might use more storage space that is optimally possible.
 
-#### `sled_cache_capacity` {#sled_cache_capacity}
+#### `block_ram_buffer_max` (since v0.9.4) {#block_ram_buffer_max}
 
-This parameter can be used to tune the capacity of the cache used by
-[sled](https://sled.rs), the database Garage uses internally to store metadata.
-Tune this to fit the RAM you wish to make available to your Garage instance.
-This value has a conservative default (128MB) so that Garage doesn't use too much
-RAM by default, but feel free to increase this for higher performance.
+A limit on the total size of data blocks kept in RAM by S3 API nodes awaiting
+to be sent to storage nodes asynchronously.
 
-#### `sled_flush_every_ms` {#sled_flush_every_ms}
+Explanation: since Garage wants to tolerate node failures, it uses quorum
+writes to send data blocks to storage nodes: try to write the block to three
+nodes, and return ok as soon as two writes complete. So even if all three nodes
+are online, the third write always completes asynchronously.  In general, there
+are not many writes to a cluster, and the third asynchronous write can
+terminate early enough so as to not cause unbounded RAM growth.  However, if
+the S3 API node is continuously receiving large quantities of data and the
+third node is never able to catch up, many data blocks will be kept buffered in
+RAM as they are awaiting transfer to the third node.
 
-This parameters can be used to tune the flushing interval of sled.
-Increase this if sled is thrashing your SSD, at the risk of losing more data in case
-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.
+The `block_ram_buffer_max` sets a limit to the size of buffers that can be kept
+in RAM in this process.  When the limit is reached, backpressure is applied
+back to the S3 client.
+
+Note that this only counts buffers that have arrived to a certain stage of
+processing (received from the client + encrypted and/or compressed as
+necessary) and are ready to send to the storage nodes. Many other buffers will
+not be counted and this is not a hard limit on RAM consumption.  In particular,
+if many clients send requests simultaneously with large objects, the RAM
+consumption will always grow linearly with the number of concurrent requests,
+as each request will use a few buffers of size `block_size` for receiving and
+intermediate processing before even trying to send the data to the storage
+node.
+
+The default value is 256MiB.
 
 #### `lmdb_map_size` {#lmdb_map_size}
 
@@ -418,6 +529,17 @@ the node, even in the case of a NAT: the NAT should be configured to forward the
 port number to the same internal port nubmer. This means that if you have several nodes running
 behind a NAT, they should each use a different RPC port number.
 
+#### `rpc_bind_outgoing`(since v0.9.2) {#rpc_bind_outgoing}
+
+If enabled, pre-bind all sockets for outgoing connections to the same IP address
+used for listening (the IP address specified in `rpc_bind_addr`) before
+trying to connect to remote nodes.
+This can be necessary if a node has multiple IP addresses,
+but only one is allowed or able to reach the other nodes,
+for instance due to firewall rules or specific routing configuration.
+
+Disabled by default.
+
 #### `rpc_public_addr` {#rpc_public_addr}
 
 The address and port that other nodes need to use to contact this node for
@@ -425,6 +547,14 @@ RPC calls.  **This parameter is optional but recommended.** In case you have
 a NAT that binds the RPC port to a port that is different on your public IP,
 this field might help making it work.
 
+#### `rpc_public_addr_subnet` {#rpc_public_addr_subnet}
+In case `rpc_public_addr` is not set, but autodiscovery is used, this allows
+filtering the list of automatically discovered IPs to a specific subnet.
+
+For example, if nodes should pick *their* IP inside a specific subnet, but you
+don't want to explicitly write the IP down (as it's dynamic, or you want to
+share configs across nodes), you can use this option.
+
 #### `bootstrap_peers` {#bootstrap_peers}
 
 A list of peer identifiers on which to contact other Garage peers of this cluster.
@@ -441,7 +571,7 @@ be obtained by running `garage node id` and then included directly in the
 key will be returned by `garage node id` and you will have to add the IP
 yourself.
 
-### `allow_world_readable_secrets`
+### `allow_world_readable_secrets` or `GARAGE_ALLOW_WORLD_READABLE_SECRETS` (env) {#allow_world_readable_secrets}
 
 Garage checks the permissions of your secret files to make sure they're not
 world-readable. In some cases, the check might fail and consider your files as
@@ -474,7 +604,7 @@ the `/v1/catalog` endpoints, enabling mTLS if `client_cert` and `client_key` are
 `service_name` should be set to the service name under which Garage's
 RPC ports are announced.
 
-#### `client_cert`, `client_key` {#consul_client_cert}
+#### `client_cert`, `client_key` {#consul_client_cert_and_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"`.
@@ -508,7 +638,7 @@ node_prefix "" {
 }
 ```
 
-#### `tags` and `meta` {#consul_tags}
+#### `tags` and `meta` {#consul_tags_and_meta}
 
 Additional list of tags and map of service meta to add during service registration.
 
@@ -602,7 +732,7 @@ the socket will have 0220 mode. Make sure to set user and group permissions acco
 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`.
+You can use any random string for this value. We recommend generating a random token with `openssl rand -base64 32`.
 
 `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`.
@@ -614,7 +744,7 @@ You can use any random string for this value. We recommend generating a random t
 The token for accessing all of the other administration endpoints.  If this
 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`.
+You can use any random string for this value. We recommend generating a random token with `openssl rand -base64 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`.

doc/book/reference-manual/features.md

@@ -37,6 +37,21 @@ A Garage cluster can very easily evolve over time, as storage nodes are added or
 Garage will automatically rebalance data between nodes as needed to ensure the desired number of copies.
 Read about cluster layout management [here](@/documentation/operations/layout.md).
 
+### Several replication modes
+
+Garage supports a variety of replication modes, with configurable replica count,
+and with various levels of consistency, in order to adapt to a variety of usage scenarios.
+Read our reference page on [supported replication modes](@/documentation/reference-manual/configuration.md#replication_factor)
+to select the replication mode best suited to your use case (hint: in most cases, `replication_factor = 3` is what you want).
+
+### Compression and deduplication
+
+All data stored in Garage is deduplicated, and optionnally compressed using
+Zstd.  Objects uploaded to Garage are chunked in blocks of constant sizes (see
+[`block_size`](@/documentation/reference-manual/configuration.md#block_size)),
+and the hashes of individual blocks are used to dispatch them to storage nodes
+and to deduplicate them.
+
 ### No RAFT slowing you down
 
 It might seem strange to tout the absence of something as a desirable feature,
@@ -48,13 +63,6 @@ As a consequence, requests can be handled much faster, even in cases where laten
 between cluster nodes is important (see our [benchmarks](@/documentation/design/benchmarks/index.md) for data on this).
 This is particularly usefull when nodes are far from one another and talk to one other through standard Internet connections.
 
-### Several replication modes
-
-Garage supports a variety of replication modes, with 1 copy, 2 copies or 3 copies of your data,
-and with various levels of consistency, in order to adapt to a variety of usage scenarios.
-Read our reference page on [supported replication modes](@/documentation/reference-manual/configuration.md#replication_mode)
-to select the replication mode best suited to your use case (hint: in most cases, `replication_mode = "3"` is what you want).
-
 ### Web server for static websites
 
 A storage bucket can easily be configured to be served directly by Garage as a static web site.

doc/book/reference-manual/monitoring.md

@@ -27,6 +27,112 @@ Exposes the Garage replication factor configured on the node
 garage_replication_factor 3
 ```
 
+#### `garage_local_disk_avail` and `garage_local_disk_total` (gauge)
+
+Reports the available and total disk space on each node, for data and metadata separately.
+
+```
+garage_local_disk_avail{volume="data"} 540341960704
+garage_local_disk_avail{volume="metadata"} 540341960704
+garage_local_disk_total{volume="data"} 763063566336
+garage_local_disk_total{volume="metadata"} 763063566336
+```
+
+### Cluster health status metrics
+
+#### `cluster_healthy` (gauge)
+
+Whether all storage nodes are connected (0 or 1)
+
+```
+cluster_healthy 0
+```
+
+#### `cluster_available` (gauge)
+
+Whether all requests can be served, even if some storage nodes are disconnected
+
+```
+cluster_available 1
+```
+
+#### `cluster_connected_nodes` (gauge)
+
+Number of nodes currently connected
+
+```
+cluster_connected_nodes 3
+```
+
+#### `cluster_known_nodes` (gauge)
+
+Number of nodes already seen once in the cluster
+
+```
+cluster_known_nodes 3
+```
+
+#### `cluster_layout_node_connected` (gauge)
+
+Connection status for individual nodes of the cluster layout
+
+```
+cluster_layout_node_connected{id="62b218d848e86a64",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 1
+cluster_layout_node_connected{id="a11c7cf18af29737",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
+cluster_layout_node_connected{id="a235ac7695e0c54d",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 1
+cluster_layout_node_connected{id="b10c110e4e854e5a",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 1
+```
+
+#### `cluster_layout_node_disconnected_time` (gauge)
+
+Time (in seconds) since last connection to individual nodes of the cluster layout
+
+```
+cluster_layout_node_disconnected_time{id="62b218d848e86a64",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
+cluster_layout_node_disconnected_time{id="a235ac7695e0c54d",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
+cluster_layout_node_disconnected_time{id="b10c110e4e854e5a",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
+```
+
+#### `cluster_storage_nodes` (gauge)
+
+Number of storage nodes declared in the current layout
+
+```
+cluster_storage_nodes 4
+```
+
+#### `cluster_storage_nodes_ok` (gauge)
+
+Number of storage nodes currently connected
+
+```
+cluster_storage_nodes_ok 3
+```
+
+#### `cluster_partitions` (gauge)
+
+Number of partitions in the layout (this is always 256)
+
+```
+cluster_partitions 256
+```
+
+#### `cluster_partitions_all_ok` (gauge)
+
+Number of partitions for which all storage nodes are connected
+
+```
+cluster_partitions_all_ok 64
+```
+
+#### `cluster_partitions_quorum` (gauge)
+
+Number of partitions for which we have a quorum of connected nodes and all requests can be served
+
+```
+cluster_partitions_quorum 256
+```
+
 ### Metrics of the API endpoints
 
 #### `api_admin_request_counter` (counter)
@@ -119,6 +225,17 @@ block_bytes_read 120586322022
 block_bytes_written 3386618077
 ```
 
+#### `block_ram_buffer_free_kb` (gauge)
+
+Kibibytes available for buffering blocks that have to be sent to remote nodes.
+When clients send too much data to this node and a storage node is not receiving
+data fast enough due to slower network conditions, this will decrease down to
+zero and backpressure will be applied.
+
+```
+block_ram_buffer_free_kb 219829
+```
+
 #### `block_compression_level` (counter)
 
 Exposes the block compression level configured for the Garage node.

doc/book/reference-manual/s3-compatibility.md

@@ -33,6 +33,7 @@ Feel free to open a PR to suggest fixes this table. Minio is missing because the
 | [URL path-style](https://docs.aws.amazon.com/AmazonS3/latest/userguide/VirtualHosting.html#path-style-access) (eg. `host.tld/bucket/key`) |  ✅ Implemented | ✅ |  ✅ | ❓| ✅ |
 | [URL vhost-style](https://docs.aws.amazon.com/AmazonS3/latest/userguide/VirtualHosting.html#virtual-hosted-style-access) URL (eg. `bucket.host.tld/key`) |  ✅ Implemented | ❌| ✅| ✅ | ✅ |
 | [Presigned URLs](https://docs.aws.amazon.com/AmazonS3/latest/userguide/ShareObjectPreSignedURL.html) |  ✅ Implemented | ❌|  ✅ | ✅ |  ✅(❓) |
+| [SSE-C encryption](https://docs.aws.amazon.com/AmazonS3/latest/userguide/ServerSideEncryptionCustomerKeys.html) |  ✅ Implemented | ❓ |  ✅ | ❌ |  ✅ |
 
 *Note:* OpenIO does not says if it supports presigned URLs. Because it is part
 of signature v4 and they claim they support it without additional precisions,

doc/book/working-documents/migration-1.md

@@ -0,0 +1,77 @@
++++
+title = "Migrating from 0.9 to 1.0"
+weight = 11
++++
+
+**This guide explains how to migrate to 1.0 if you have an existing 0.9 cluster.
+We don't recommend trying to migrate to 1.0 directly from 0.8 or older.**
+
+This migration procedure has been tested on several clusters without issues.
+However, it is still a *critical procedure* that might cause issues.
+**Make sure to back up all your data before attempting it!**
+
+You might also want to read our [general documentation on upgrading Garage](@/documentation/operations/upgrading.md).
+
+## Changes introduced in v1.0
+
+The following are **breaking changes** in Garage v1.0 that require your attention when migrating:
+
+- The Sled metadata db engine has been **removed**. If your cluster was still
+  using Sled, you will need to **use a Garage v0.9.x binary** to convert the
+  database using the `garage convert-db` subcommand. See
+  [here](@/documentation/reference-manual/configuration.md#db_engine) for the
+  details of the procedure.
+
+The following syntax changes have been made to the configuration file:
+
+- The `replication_mode` parameter has been split into two parameters:
+  [`replication_factor`](@/documentation/reference-manual/configuration.md#replication_factor)
+  and
+  [`consistency_mode`](@/documentation/reference-manual/configuration.md#consistency_mode).
+  The old syntax using `replication_mode` is still supported for legacy
+  reasons and can still be used.
+
+- The parameters `sled_cache_capacity` and `sled_flush_every_ms` have been removed.
+
+## Migration procedure
+
+The migration to Garage v1.0 can be done with almost no downtime,
+by restarting all nodes at once in the new version.
+
+The migration steps are as follows:
+
+1. Do a `garage repair --all-nodes --yes tables`, check the logs and check that
+   all data seems to be synced correctly between nodes. If you have time, do
+   additional `garage repair` procedures (`blocks`, `versions`, `block_refs`,
+   etc.)
+
+2. Ensure you have a snapshot of your Garage installation that you can restore
+   to in case the upgrade goes wrong:
+
+   - If you are running Garage v0.9.4 or later, use the `garage meta snapshot
+     --all` to make a backup snapshot of the metadata directories of your nodes
+     for backup purposes, and save a copy of the following files in the
+     metadata directories of your nodes: `cluster_layout`, `data_layout`,
+     `node_key`, `node_key.pub`.
+
+   - If you are running a filesystem such as ZFS or BTRFS that support
+     snapshotting, you can create a filesystem-level snapshot to be used as a
+     restoration point if needed.
+
+   - In other cases, make a backup using the old procedure: turn off each node
+     individually; back up its metadata folder (for instance, use the following
+     command if your metadata directory is `/var/lib/garage/meta`: `cd
+     /var/lib/garage ; tar -acf meta-v0.9.tar.zst meta/`); 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 updated binaries and configuration files for Garage v1.0
+
+4. Shut down all v0.9 nodes simultaneously, and restart them all simultaneously
+   in v1.0.  Use your favorite deployment tool (Ansible, Kubernetes, Nomad) to
+   achieve this as fast as possible.  Garage v1.0 should be in a working state
+   as soon as enough nodes have started.
+
+5. Monitor your cluster in the following hours to see if it works well under
+   your production load.

doc/drafts/admin-api.md

@@ -8,9 +8,9 @@ listen address is specified in the `[admin]` section of the configuration
 file (see [configuration file
 reference](@/documentation/reference-manual/configuration.md))
 
-**WARNING.** At this point, there is no comittement to stability of the APIs described in this document.
-We will bump the version numbers prefixed to each API endpoint at each time the syntax
-or semantics change, meaning that code that relies on these endpoint will break
+**WARNING.** At this point, there is no commitment to the stability of the APIs described in this document.
+We will bump the version numbers prefixed to each API endpoint each time the syntax
+or semantics change, meaning that code that relies on these endpoints will break
 when changes are introduced.
 
 The Garage administration API was introduced in version 0.7.2, this document
@@ -19,7 +19,7 @@ does not apply to older versions of Garage.
 
 ## Access control
 
-The admin API uses two different tokens for acces control, that are specified in the config file's `[admin]` section:
+The admin API uses two different tokens for access control, that are specified in the config file's `[admin]` section:
 
 - `metrics_token`: the token for accessing the Metrics endpoint (if this token
   is not set in the config file, the Metrics endpoint can be accessed without
@@ -69,11 +69,10 @@ Example response body:
 
 ```json
 {
-  "node": "ec79480e0ce52ae26fd00c9da684e4fa56658d9c64cdcecb094e936de0bfe71f",
-  "garageVersion": "git:v0.9.0-dev",
+  "node": "b10c110e4e854e5aa3f4637681befac755154b20059ec163254ddbfae86b09df",
+  "garageVersion": "v1.0.1",
   "garageFeatures": [
     "k2v",
-    "sled",
     "lmdb",
     "sqlite",
     "metrics",
@@ -81,84 +80,93 @@ Example response body:
   ],
   "rustVersion": "1.68.0",
   "dbEngine": "LMDB (using Heed crate)",
-  "knownNodes": [
+  "layoutVersion": 5,
+  "nodes": [
     {
-      "id": "ec79480e0ce52ae26fd00c9da684e4fa56658d9c64cdcecb094e936de0bfe71f",
-      "addr": "10.0.0.11:3901",
-      "isUp": true,
-      "lastSeenSecsAgo": 9,
-      "hostname": "node1"
-    },
-    {
-      "id": "4a6ae5a1d0d33bf895f5bb4f0a418b7dc94c47c0dd2eb108d1158f3c8f60b0ff",
-      "addr": "10.0.0.12:3901",
-      "isUp": true,
-      "lastSeenSecsAgo": 1,
-      "hostname": "node2"
-    },
-    {
-      "id": "23ffd0cdd375ebff573b20cc5cef38996b51c1a7d6dbcf2c6e619876e507cf27",
-      "addr": "10.0.0.21:3901",
-      "isUp": true,
-      "lastSeenSecsAgo": 7,
-      "hostname": "node3"
-    },
-    {
-      "id": "e2ee7984ee65b260682086ec70026165903c86e601a4a5a501c1900afe28d84b",
-      "addr": "10.0.0.22:3901",
-      "isUp": true,
-      "lastSeenSecsAgo": 1,
-      "hostname": "node4"
-    }
-  ],
-  "layout": {
-    "version": 12,
-    "roles": [
-      {
-        "id": "ec79480e0ce52ae26fd00c9da684e4fa56658d9c64cdcecb094e936de0bfe71f",
+      "id": "62b218d848e86a64f7fe1909735f29a4350547b54c4b204f91246a14eb0a1a8c",
+      "role": {
+        "id": "62b218d848e86a64f7fe1909735f29a4350547b54c4b204f91246a14eb0a1a8c",
         "zone": "dc1",
-        "capacity": 10737418240,
-        "tags": [
-          "node1"
-        ]
+        "capacity": 100000000000,
+        "tags": []
+      },
+      "addr": "10.0.0.3:3901",
+      "hostname": "node3",
+      "isUp": true,
+      "lastSeenSecsAgo": 12,
+      "draining": false,
+      "dataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
+      },
+      "metadataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
+      }
     },
     {
-        "id": "4a6ae5a1d0d33bf895f5bb4f0a418b7dc94c47c0dd2eb108d1158f3c8f60b0ff",
+      "id": "a11c7cf18af297379eff8688360155fe68d9061654449ba0ce239252f5a7487f",
+      "role": null,
+      "addr": "10.0.0.2:3901",
+      "hostname": "node2",
+      "isUp": true,
+      "lastSeenSecsAgo": 11,
+      "draining": true,
+      "dataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
+      },
+      "metadataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
+      }
+    },
+    {
+      "id": "a235ac7695e0c54d7b403943025f57504d500fdcc5c3e42c71c5212faca040a2",
+      "role": {
+        "id": "a235ac7695e0c54d7b403943025f57504d500fdcc5c3e42c71c5212faca040a2",
         "zone": "dc1",
-        "capacity": 10737418240,
-        "tags": [
-          "node2"
-        ]
+        "capacity": 100000000000,
+        "tags": []
+      },
+      "addr": "127.0.0.1:3904",
+      "hostname": "lindy",
+      "isUp": true,
+      "lastSeenSecsAgo": 2,
+      "draining": false,
+      "dataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
+      },
+      "metadataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
+      }
     },
     {
-        "id": "23ffd0cdd375ebff573b20cc5cef38996b51c1a7d6dbcf2c6e619876e507cf27",
-        "zone": "dc2",
-        "capacity": 10737418240,
-        "tags": [
-          "node3"
-        ]
+      "id": "b10c110e4e854e5aa3f4637681befac755154b20059ec163254ddbfae86b09df",
+      "role": {
+        "id": "b10c110e4e854e5aa3f4637681befac755154b20059ec163254ddbfae86b09df",
+        "zone": "dc1",
+        "capacity": 100000000000,
+        "tags": []
+      },
+      "addr": "10.0.0.1:3901",
+      "hostname": "node1",
+      "isUp": true,
+      "lastSeenSecsAgo": 3,
+      "draining": false,
+      "dataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
+      },
+      "metadataPartition": {
+        "available": 660270088192,
+        "total": 873862266880
       }
-    ],
-    "stagedRoleChanges": [
-      {
-        "id": "e2ee7984ee65b260682086ec70026165903c86e601a4a5a501c1900afe28d84b",
-        "remove": false,
-        "zone": "dc2",
-        "capacity": 10737418240,
-        "tags": [
-          "node4"
-        ]
-      }
-      {
-        "id": "23ffd0cdd375ebff573b20cc5cef38996b51c1a7d6dbcf2c6e619876e507cf27",
-        "remove": true,
-        "zone": null,
-        "capacity": null,
-        "tags": null,
     }
   ]
 }
-}
 ```
 
 #### GetClusterHealth `GET /v1/health`

doc/drafts/k2v-spec.md

@@ -146,7 +146,7 @@ in a bucket, as the partition key becomes the sort key in the index.
 How indexing works:
 
 - Each node keeps a local count of how many items it stores for each partition,
-  in a local Sled tree that is updated atomically when an item is modified.
+  in a local database tree that is updated atomically when an item is modified.
 - These local counters are asynchronously stored in the index table which is
   a regular Garage table spread in the network. Counters are stored as LWW values,
   so basically the final table will have the following structure:

doc/talks/2024-02-03-fosdem/.gitignore

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

doc/talks/2024-02-03-fosdem/Makefile

@@ -0,0 +1,19 @@
+ASSETS=../assets/lattice/lattice1.pdf_tex \
+	   ../assets/lattice/lattice2.pdf_tex \
+	   ../assets/lattice/lattice3.pdf_tex \
+	   ../assets/lattice/lattice4.pdf_tex \
+	   ../assets/lattice/lattice5.pdf_tex \
+	   ../assets/lattice/lattice6.pdf_tex \
+	   ../assets/lattice/lattice7.pdf_tex \
+	   ../assets/lattice/lattice8.pdf_tex \
+	   ../assets/logos/deuxfleurs.pdf \
+	   ../assets/timeline-22-24.pdf
+
+talk.pdf: talk.tex $(ASSETS)
+	pdflatex talk.tex
+
+%.pdf: %.svg
+	inkscape -D -z --file=$^ --export-pdf=$@
+
+%.pdf_tex: %.svg
+	inkscape -D -z --file=$^ --export-pdf=$@ --export-latex

doc/talks/2024-02-03-fosdem/talk.tex

@@ -0,0 +1,764 @@
+\nonstopmode
+\documentclass[aspectratio=169,xcolor={svgnames}]{beamer}
+\usepackage[utf8]{inputenc}
+% \usepackage[frenchb]{babel}
+\usepackage{amsmath}
+\usepackage{mathtools}
+\usepackage{breqn}
+\usepackage{multirow}
+\usetheme{boxes}
+\usepackage{graphicx}
+\usepackage{import}
+\usepackage{adjustbox}
+\usepackage[absolute,overlay]{textpos}
+%\useoutertheme[footline=authortitle,subsection=false]{miniframes}
+%\useoutertheme[footline=authorinstitute,subsection=false]{miniframes}
+\useoutertheme{infolines}
+\setbeamertemplate{headline}{}
+
+\beamertemplatenavigationsymbolsempty
+
+\definecolor{TitleOrange}{RGB}{255,137,0}
+\setbeamercolor{title}{fg=TitleOrange}
+\setbeamercolor{frametitle}{fg=TitleOrange}
+
+\definecolor{ListOrange}{RGB}{255,145,5}
+\setbeamertemplate{itemize item}{\color{ListOrange}$\blacktriangleright$}
+
+\definecolor{verygrey}{RGB}{70,70,70}
+\setbeamercolor{normal text}{fg=verygrey}
+
+
+\usepackage{tabu}
+\usepackage{multicol}
+\usepackage{vwcol}
+\usepackage{stmaryrd}
+\usepackage{graphicx}
+
+\usepackage[normalem]{ulem}
+
+\AtBeginSection[]{
+  \begin{frame}
+  \vfill
+  \centering
+  \begin{beamercolorbox}[sep=8pt,center,shadow=true,rounded=true]{title}
+    \usebeamerfont{title}\insertsectionhead\par%
+  \end{beamercolorbox}
+  \vfill
+  \end{frame}
+}
+
+\title{Garage, the low-tech storage platform for geo-distributed clusters}
+\author{Alex Auvolat, Deuxfleurs}
+\date{FOSDEM'24, 2024-02-03}
+
+\begin{document}
+
+\begin{frame}
+	\centering
+	\includegraphics[width=.3\linewidth]{../../sticker/Garage.png}
+	\vspace{1em}
+
+	{\large\bf Alex Auvolat, Deuxfleurs Association}
+	\vspace{1em}
+
+	\url{https://garagehq.deuxfleurs.fr/}
+
+	Matrix channel: \texttt{\#garage:deuxfleurs.fr}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Who I am}
+	\begin{columns}[t]
+		\begin{column}{.2\textwidth}
+			\centering
+			\adjincludegraphics[width=.4\linewidth, valign=t]{../assets/alex.jpg}
+		\end{column}
+		\begin{column}{.6\textwidth}
+			\textbf{Alex Auvolat}\\
+			PhD; co-founder of Deuxfleurs
+		\end{column}
+		\begin{column}{.2\textwidth}
+			~
+		\end{column}
+	\end{columns}
+	\vspace{2em}
+
+	\begin{columns}[t]
+		\begin{column}{.2\textwidth}
+			\centering
+			\adjincludegraphics[width=.5\linewidth, valign=t]{../assets/logos/deuxfleurs.pdf}
+		\end{column}
+		\begin{column}{.6\textwidth}
+			\textbf{Deuxfleurs}\\
+			A non-profit self-hosting collective,\\
+			member of the CHATONS network
+		\end{column}
+		\begin{column}{.2\textwidth}
+			\centering
+			\adjincludegraphics[width=.7\linewidth, valign=t]{../assets/logos/logo_chatons.png}
+		\end{column}
+	\end{columns}
+
+\end{frame}
+
+\begin{frame}
+	\frametitle{Our objective at Deuxfleurs}
+	
+	\begin{center}
+		\textbf{Promote self-hosting and small-scale hosting\\
+			as an alternative to large cloud providers}
+	\end{center}
+	\vspace{2em}
+	\visible<2->{
+		Why is it hard?
+	}
+	\visible<3->{
+		\vspace{2em}
+		\begin{center}
+			\textbf{\underline{Resilience}}\\
+			{\footnotesize we want good uptime/availability with low supervision}
+		\end{center}
+	}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Building a resilient system with cheap stuff}
+
+	\only<1,4-7>{
+		\begin{itemize}
+			\item \textcolor<5->{gray}{Commodity hardware (e.g. old desktop PCs)\\
+				\vspace{.5em}
+				\visible<4->{{\footnotesize (can die at any time)}}}
+				\vspace{1.5em}
+			\item<5-> \textcolor<7->{gray}{Regular Internet (e.g. FTTB, FTTH) and power grid connections\\
+				\vspace{.5em}
+				\visible<6->{{\footnotesize (can be unavailable randomly)}}}
+				\vspace{1.5em}
+			\item<7-> \textbf{Geographical redundancy} (multi-site replication)
+		\end{itemize}
+	}
+	\only<2>{
+		\begin{center}
+			\includegraphics[width=.8\linewidth]{../assets/neptune.jpg}
+		\end{center}
+	}
+	\only<3>{
+		\begin{center}
+			\includegraphics[width=.8\linewidth]{../assets/atuin.jpg}
+		\end{center}
+	}
+	\only<8>{
+		\begin{center}
+			\includegraphics[width=.8\linewidth]{../assets/inframap_jdll2023.pdf}
+		\end{center}
+	}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Object storage: a crucial component}
+		\begin{center}
+			\includegraphics[height=6em]{../assets/logos/Amazon-S3.jpg}
+			\hspace{3em}
+			\visible<2->{\includegraphics[height=5em]{../assets/logos/minio.png}}
+			\hspace{3em}
+			\visible<3>{\includegraphics[height=6em]{../../logo/garage_hires_crop.png}}
+		\end{center}
+		\vspace{1em}
+	S3: a de-facto standard, many compatible applications
+
+	\vspace{1em}
+	\visible<2->{MinIO is self-hostable but not suited for geo-distributed deployments}
+
+	\vspace{1em}
+	\visible<3->{\textbf{Garage is a self-hosted drop-in replacement for the Amazon S3 object store}}
+\end{frame}
+
+\begin{frame}
+	\frametitle{CRDTs / weak consistency instead of consensus}
+
+	\underline{Internally, Garage uses only CRDTs} (conflict-free replicated data types)
+
+	\vspace{2em}
+	Why not Raft, Paxos, ...? Issues of consensus algorithms:
+
+	\vspace{1em}
+	\begin{itemize}
+		\item<2-> \textbf{Software complexity}
+			\vspace{1em}
+		\item<3-> \textbf{Performance issues:}
+			\vspace{.5em}
+			\begin{itemize}
+				\item<4-> The leader is a \textbf{bottleneck} for all requests\\
+					\vspace{.5em}
+				\item<5-> \textbf{Sensitive to higher latency} between nodes
+					\vspace{.5em}
+				\item<6-> \textbf{Takes time to reconverge} when disrupted (e.g. node going down)
+			\end{itemize}
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{The data model of object storage}
+	Object storage is basically a \textbf{key-value store}:
+	\vspace{.5em}
+
+	{\scriptsize
+		\begin{center}
+		\begin{tabular}{|l|p{7cm}|}
+			\hline
+			\textbf{Key: file path + name} & \textbf{Value: file data + metadata} \\
+			\hline
+			\hline
+			\texttt{index.html} &
+				\texttt{Content-Type: text/html; charset=utf-8} \newline
+				\texttt{Content-Length: 24929} \newline
+				\texttt{<binary blob>} \\ 
+			\hline
+			\texttt{img/logo.svg} &
+				\texttt{Content-Type: text/svg+xml} \newline
+				\texttt{Content-Length: 13429} \newline
+				\texttt{<binary blob>} \\ 
+			\hline
+			\texttt{download/index.html} &
+				\texttt{Content-Type: text/html; charset=utf-8} \newline
+				\texttt{Content-Length: 26563} \newline
+				\texttt{<binary blob>} \\ 
+			\hline
+		\end{tabular}
+		\end{center}
+		}
+
+	\vspace{1em}
+	\begin{itemize}
+		\item<2> Maps well to CRDT data types
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Performance gains in practice}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/perf/endpoint_latency_0.7_0.8_minio.png}
+	\end{center}
+\end{frame}
+
+
+% ======================================== TIMELINE
+% ======================================== TIMELINE
+% ======================================== TIMELINE
+
+\section{Recent developments}
+
+% ====================== v0.7.0 ===============================
+
+\begin{frame}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{April 2022 - Garage v0.7.0}
+	Focus on \underline{observability and ecosystem integration}
+	\vspace{2em}
+	\begin{itemize}
+		\item \textbf{Monitoring:} metrics and traces, using OpenTelemetry
+			\vspace{1em}
+		\item Replication modes with 1 or 2 copies / weaker consistency
+			\vspace{1em}
+		\item Kubernetes integration for node discovery
+			\vspace{1em}
+		\item Admin API (v0.7.2)
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Metrics (Prometheus + Grafana)}
+	\begin{center}
+		\includegraphics[width=.9\linewidth]{../assets/screenshots/grafana_dashboard.png}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Traces (Jaeger)}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/screenshots/jaeger_listobjects.png}
+	\end{center}
+\end{frame}
+
+% ====================== v0.8.0 ===============================
+
+\begin{frame}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{November 2022 - Garage v0.8.0}
+	Focus on \underline{performance}
+	\vspace{2em}
+	\begin{itemize}
+		\item \textbf{Alternative metadata DB engines} (LMDB, Sqlite)
+			\vspace{1em}
+		\item \textbf{Performance improvements:} block streaming, various optimizations...
+			\vspace{1em}
+		\item Bucket quotas (max size, max \#objects)
+			\vspace{1em}
+		\item Quality of life improvements, observability, etc.
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{About metadata DB engines}
+	\textbf{Issues with Sled:}
+	\vspace{1em}
+	\begin{itemize}
+		\item Huge files on disk
+			\vspace{.5em}
+		\item Unpredictable performance, especially on HDD
+			\vspace{.5em}
+		\item API limitations
+			\vspace{.5em}
+		\item Not actively maintained
+	\end{itemize}
+
+	\vspace{2em}
+	\textbf{LMDB:} very stable, good performance, file size is reasonable\\
+	\textbf{Sqlite} also available as a second choice
+
+	\vspace{1em}
+	Sled will be removed in Garage v1.0
+\end{frame}
+
+\begin{frame}
+	\frametitle{DB engine performance comparison}
+	\begin{center}
+		\includegraphics[width=.6\linewidth]{../assets/perf/db_engine.png}
+	\end{center}
+	NB: Sqlite was slow due to synchronous mode, now configurable
+\end{frame}
+
+\begin{frame}
+	\frametitle{Block streaming}
+	\begin{center}
+		\only<1>{\includegraphics[width=.8\linewidth]{../assets/schema-streaming-1.png}}
+		\only<2>{\includegraphics[width=.8\linewidth]{../assets/schema-streaming-2.png}}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{TTFB benchmark}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/perf/ttfb.png}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Throughput benchmark}
+	\begin{center}
+		\includegraphics[width=.7\linewidth]{../assets/perf/io-0.7-0.8-minio.png}
+	\end{center}
+\end{frame}
+
+% ====================== v0.9.0 ===============================
+
+\begin{frame}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{October 2023 - Garage v0.9.0}
+	Focus on \underline{streamlining \& usability}
+	\vspace{2em}
+	\begin{itemize}
+		\item Support multiple HDDs per node
+			\vspace{1em}
+		\item S3 compatibility: 
+			\vspace{1em}
+			\begin{itemize}
+				\item support basic lifecycle configurations
+					\vspace{.5em}
+				\item allow for multipart upload part retries
+			\end{itemize}
+			\vspace{1em}
+		\item LMDB by default, deprecation of Sled
+			\vspace{1em}
+		\item New layout computation algorithm
+	\end{itemize}
+\end{frame}
+
+
+\begin{frame}
+	\frametitle{Layout computation}
+	\begin{overprint}
+		\onslide<1>
+		\begin{center}
+			\includegraphics[width=\linewidth, trim=0 0 0 -4cm]{../assets/screenshots/garage_status_0.9_prod_zonehl.png}
+		\end{center}
+		\onslide<2>
+		\begin{center}
+			\includegraphics[width=.7\linewidth]{../assets/map.png}
+		\end{center}
+	\end{overprint}
+	\vspace{1em}
+	Garage stores replicas on different zones when possible
+\end{frame}
+
+\begin{frame}
+	\frametitle{What a "layout" is}
+		\textbf{A layout is a precomputed index table:}
+		\vspace{1em}
+
+		{\footnotesize
+			\begin{center}
+			\begin{tabular}{|l|l|l|l|}
+				\hline
+				\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
+				\hline
+				\hline
+				Partition 0 & df-ymk (bespin) & Abricot (scorpio) & Courgette (neptune) \\
+				\hline
+				Partition 1 & Ananas (scorpio) & Courgette (neptune) & df-ykl (bespin) \\
+				\hline
+				Partition 2 & df-ymf (bespin) & Celeri (neptune) & Abricot (scorpio) \\
+				\hline
+				\hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ \\
+				\hline
+				Partition 255 & Concombre (neptune) & df-ykl (bespin) & Abricot (scorpio) \\
+				\hline
+			\end{tabular}
+			\end{center}
+		}
+
+	\vspace{2em}
+	\visible<2->{
+		The index table is built centrally using an optimal algorithm,\\
+		then propagated to all nodes
+	}
+
+	\vspace{1em}
+	\visible<3->{
+		\footnotesize
+		Oulamara, M., \& Auvolat, A. (2023). \emph{An algorithm for geo-distributed and redundant storage in Garage}.\\ arXiv preprint arXiv:2302.13798.
+	}
+\end{frame}
+
+
+
+% ====================== v0.10.0 ===============================
+
+\begin{frame}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{October 2023 - Garage v0.10.0 beta}
+	Focus on \underline{consistency}
+	\vspace{2em}
+	\begin{itemize}
+		\item Fix consistency issues when reshuffling data
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Working with weak consistency}
+	Not using consensus limits us to the following:
+	\vspace{2em}
+	\begin{itemize}
+		\item<2-> \textbf{Conflict-free replicated data types} (CRDT)\\
+			\vspace{1em}
+			{\footnotesize Non-transactional key-value stores such as S3 are equivalent to a simple CRDT:\\
+			a map of \textbf{last-writer-wins registers} (each key is its own CRDT)}
+			\vspace{1.5em}
+		\item<3-> \textbf{Read-after-write consistency}\\
+			\vspace{1em}
+			{\footnotesize Can be implemented using quorums on read and write operations}
+	\end{itemize}
+\end{frame}
+
+\begin{frame}[t]
+	\frametitle{CRDT read-after-write consistency using quorums}
+
+	\vspace{1em}
+	{\small
+		\textbf{Property:} If client 1 did an operation $write(x)$ and received an OK response,\\
+			\hspace{2cm} and client 2 starts an operation $read()$ after client 1 received OK,\\
+			\hspace{2cm} then client 2 will read a value $x' \sqsupseteq x$.
+	}
+
+	\vspace{1.5em}
+	\begin{overprint}
+		\onslide<2-9>
+		\begin{figure}
+			\centering
+			\footnotesize
+			\def\svgwidth{.7\textwidth}
+			\only<2>{\import{../assets/lattice/}{lattice1.pdf_tex}}%
+			\only<3>{\import{../assets/lattice/}{lattice2.pdf_tex}}%
+			\only<4>{\import{../assets/lattice/}{lattice3.pdf_tex}}%
+			\only<5>{\import{../assets/lattice/}{lattice4.pdf_tex}}%
+			\only<6>{\import{../assets/lattice/}{lattice5.pdf_tex}}%
+			\only<7>{\import{../assets/lattice/}{lattice6.pdf_tex}}%
+			\only<8>{\import{../assets/lattice/}{lattice7.pdf_tex}}%
+			\only<9>{\import{../assets/lattice/}{lattice8.pdf_tex}}%
+		\end{figure}
+		
+		\onslide<10>
+		\begin{minipage}{.10\textwidth}
+			~
+		\end{minipage}
+		\begin{minipage}{.40\textwidth}
+			\footnotesize
+			\textbf{Algorithm $write(x)$:}
+			\begin{enumerate}
+				\item Broadcast $write(x)$ to all nodes
+				\item Wait for $k > n/2$ nodes to reply OK
+				\item Return OK
+			\end{enumerate}
+		\end{minipage}
+		\begin{minipage}{.40\textwidth}
+			\footnotesize
+			\vspace{1em}
+			\textbf{Algorithm $read()$:}
+			\begin{enumerate}
+				\item Broadcast $read()$ to all nodes
+				\item Wait for $k > n/2$ nodes to reply\\
+					with values $x_1, \dots, x_k$
+				\item Return $x_1 \sqcup \dots \sqcup x_k$
+			\end{enumerate}
+		\end{minipage}
+	\end{overprint}
+\end{frame}
+
+\begin{frame}
+	\frametitle{A hard problem: layout changes}
+	\begin{itemize}
+		\item We rely on quorums $k > n/2$ within each partition:\\
+			$$n=3,~~~~~~~k\ge 2$$
+		\item<2-> When rebalancing, the set of nodes responsible for a partition can change:\\
+
+			\vspace{1em}
+			\begin{minipage}{.04\linewidth}~
+			\end{minipage}
+			\begin{minipage}{.40\linewidth}
+			{\tiny
+				\begin{tabular}{|l|l|l|l|}
+					\hline
+					\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
+					\hline
+					\hline
+					Partition 0 & \textcolor{Crimson}{df-ymk}  & Abricot  & \textcolor{Crimson}{Courgette} \\
+					\hline
+					Partition 1 & Ananas  & \textcolor{Crimson}{Courgette} & \textcolor{Crimson}{df-ykl}  \\
+					\hline
+					Partition 2 & \textcolor{Crimson}{df-ymf}  & \textcolor{Crimson}{Celeri} & Abricot  \\
+					\hline
+					\hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ \\
+					\hline
+				\end{tabular}
+			}
+			\end{minipage}
+			\begin{minipage}{.04\linewidth}
+				$\to$
+			\end{minipage}
+			\begin{minipage}{.40\linewidth}
+			{\tiny
+				\begin{tabular}{|l|l|l|l|}
+					\hline
+					\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
+					\hline
+					\hline
+					Partition 0 & \textcolor{ForestGreen}{Dahlia}  & Abricot  & \textcolor{ForestGreen}{Eucalyptus} \\
+					\hline
+					Partition 1 & Ananas  & \textcolor{ForestGreen}{Euphorbe}  & \textcolor{ForestGreen}{Doradille} \\
+					\hline
+					Partition 2 & \textcolor{ForestGreen}{Dahlia}  & \textcolor{ForestGreen}{Echinops} & Abricot  \\
+					\hline
+					\hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ \\
+					\hline
+				\end{tabular}
+			}
+			\end{minipage}
+
+			\vspace{2em}
+		\item<3-> During the rebalancing, new nodes don't yet have the data,\\
+			~~~~~~~~~~~~~~~~~~~and old nodes want to get rid of the data to free up space\\
+			\vspace{1.2em}
+			$\to$ risk of inconsistency, \textbf{how to coordinate?}
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Handling layout changes without losing consistency}
+	\begin{minipage}{.55\textwidth}
+		\begin{itemize}
+			\item \textbf{Solution:}\\
+				\vspace{.5em}
+				\begin{itemize}
+					\item keep track of data transfer to new nodes
+						\vspace{.5em}
+					\item use multiple write quorums\\
+						(new nodes + old nodes\\
+						while data transfer is in progress)
+						\vspace{.5em}
+					\item switching reads to new nodes\\
+						only once copy is finished
+				\end{itemize}
+				\vspace{1em}
+			\item \textbf{Implemented} in v0.10
+				\vspace{1em}
+			\item \textbf{Validated} with Jepsen testing
+		\end{itemize}
+	\end{minipage}
+	\begin{minipage}{.23\textwidth}
+		\includegraphics[width=3cm]{../assets/jepsen-0.9.png}\\
+		{\footnotesize Garage v0.9.0}
+	\end{minipage}
+	\begin{minipage}{.2\textwidth}
+		\includegraphics[width=3cm]{../assets/jepsen-0.10.png}\\
+		{\footnotesize Garage v0.10 beta}
+	\end{minipage}
+\end{frame}
+
+% ====================== v0.10.0 ===============================
+
+\begin{frame}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Towards v1.0...}
+	Focus on \underline{security \& stability}
+	\vspace{2em}
+	\begin{itemize}
+		\item \textbf{Security audit} in progress by Radically Open Security
+			\vspace{1em}
+		\item Misc. S3 features (SSE-C, ...) and compatibility fixes
+			\vspace{1em}
+		\item Improve UX
+			\vspace{1em}
+		\item Fix bugs
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{...and beyond!}
+	\begin{center}
+		\includegraphics[width=.6\linewidth]{../assets/survey_requested_features.png}
+	\end{center}
+\end{frame}
+
+% ======================================== OPERATING
+% ======================================== OPERATING
+% ======================================== OPERATING
+
+
+\section{Operating big Garage clusters}
+
+\begin{frame}
+	\frametitle{Operating Garage}
+	\begin{center}
+		\only<1-2>{
+			\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_0.10.png}
+			\\\vspace{1em}
+			\visible<2>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_unhealthy_0.10.png}}
+		}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Garage's architecture}
+	\begin{center}
+		\only<1>{\includegraphics[width=.45\linewidth]{../assets/garage.drawio.pdf}}%
+		\only<2>{\includegraphics[width=.6\linewidth]{../assets/garage_sync.drawio.pdf}}%
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Digging deeper}
+	\begin{center}
+		\only<1>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_stats_0.10.png}}
+		\only<2>{\includegraphics[width=.5\linewidth]{../assets/screenshots/garage_worker_list_0.10.png}}
+		\only<3>{\includegraphics[width=.6\linewidth]{../assets/screenshots/garage_worker_param_0.10.png}}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Potential limitations and bottlenecks}
+	\begin{itemize}
+		\item Global:
+			\begin{itemize}
+				\item Max. $\sim$100 nodes per cluster (excluding gateways)
+			\end{itemize}
+			\vspace{1em}
+		\item Metadata:
+			\begin{itemize}
+				\item One big bucket = bottleneck, object list on 3 nodes only
+			\end{itemize}
+			\vspace{1em}
+		\item Block manager:
+			\begin{itemize}
+				\item Lots of small files on disk
+				\item Processing the resync queue can be slow
+			\end{itemize}
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Deployment advice for very large clusters}
+	\begin{itemize}
+		\item Metadata storage:
+			\begin{itemize}
+				\item ZFS mirror (x2) on fast NVMe
+				\item Use LMDB storage engine
+			\end{itemize}
+			\vspace{.5em}
+		\item Data block storage:
+			\begin{itemize}
+				\item Use Garage's native multi-HDD support
+				\item XFS on individual drives
+				\item Increase block size (1MB $\to$ 10MB, requires more RAM and good networking)
+				\item Tune \texttt{resync-tranquility} and \texttt{resync-worker-count} dynamically
+			\end{itemize}
+			\vspace{.5em}
+		\item Other :
+			\begin{itemize}
+				\item Split data over several buckets
+				\item Use less than 100 storage nodes
+				\item Use gateway nodes
+			\end{itemize}
+			\vspace{.5em}
+	\end{itemize}
+	Our deployments: $< 10$ TB. Some people have done more!
+\end{frame}
+
+
+% ======================================== END
+% ======================================== END
+% ======================================== END
+
+\begin{frame}
+	\frametitle{Where to find us}
+	\begin{center}
+			\includegraphics[width=.25\linewidth]{../../logo/garage_hires.png}\\
+			\vspace{-1em}
+		\url{https://garagehq.deuxfleurs.fr/}\\
+		\url{mailto:garagehq@deuxfleurs.fr}\\
+		\texttt{\#garage:deuxfleurs.fr} on Matrix
+
+		\vspace{1.5em}
+			\includegraphics[width=.06\linewidth]{../assets/logos/rust_logo.png}
+			\includegraphics[width=.13\linewidth]{../assets/logos/AGPLv3_Logo.png}
+	\end{center}
+\end{frame}
+
+\end{document}
+
+%% vim: set ts=4 sw=4 tw=0 noet spelllang=en :

doc/talks/2024-02-29-capitoul/.gitignore

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

doc/talks/2024-02-29-capitoul/Makefile

@@ -0,0 +1,10 @@
+ASSETS=../assets/logos/deuxfleurs.pdf
+
+talk.pdf: talk.tex $(ASSETS)
+	pdflatex talk.tex
+
+%.pdf: %.svg
+	inkscape -D -z --file=$^ --export-pdf=$@
+
+%.pdf_tex: %.svg
+	inkscape -D -z --file=$^ --export-pdf=$@ --export-latex

doc/talks/2024-02-29-capitoul/talk.tex

@@ -0,0 +1,543 @@
+\nonstopmode
+\documentclass[aspectratio=169,xcolor={svgnames}]{beamer}
+\usepackage[utf8]{inputenc}
+% \usepackage[frenchb]{babel}
+\usepackage{amsmath}
+\usepackage{mathtools}
+\usepackage{breqn}
+\usepackage{multirow}
+\usetheme{boxes}
+\usepackage{graphicx}
+\usepackage{import}
+\usepackage{adjustbox}
+\usepackage[absolute,overlay]{textpos}
+%\useoutertheme[footline=authortitle,subsection=false]{miniframes}
+%\useoutertheme[footline=authorinstitute,subsection=false]{miniframes}
+\useoutertheme{infolines}
+\setbeamertemplate{headline}{}
+
+\beamertemplatenavigationsymbolsempty
+
+\definecolor{TitleOrange}{RGB}{255,137,0}
+\setbeamercolor{title}{fg=TitleOrange}
+\setbeamercolor{frametitle}{fg=TitleOrange}
+
+\definecolor{ListOrange}{RGB}{255,145,5}
+\setbeamertemplate{itemize item}{\color{ListOrange}$\blacktriangleright$}
+
+\definecolor{verygrey}{RGB}{70,70,70}
+\setbeamercolor{normal text}{fg=verygrey}
+
+
+\usepackage{tabu}
+\usepackage{multicol}
+\usepackage{vwcol}
+\usepackage{stmaryrd}
+\usepackage{graphicx}
+
+\usepackage[normalem]{ulem}
+
+\AtBeginSection[]{
+  \begin{frame}
+  \vfill
+  \centering
+  \begin{beamercolorbox}[sep=8pt,center,shadow=true,rounded=true]{title}
+    \usebeamerfont{title}\insertsectionhead\par%
+  \end{beamercolorbox}
+  \vfill
+  \end{frame}
+}
+
+\title{Garage}
+\author{Alex Auvolat, Deuxfleurs}
+\date{Capitoul, 2024-02-29}
+
+\begin{document}
+
+\begin{frame}
+	\centering
+	\includegraphics[width=.3\linewidth]{../../sticker/Garage.png}
+	\vspace{1em}
+
+	{\large\bf Alex Auvolat, Deuxfleurs Association}
+	\vspace{1em}
+
+	\url{https://garagehq.deuxfleurs.fr/}
+
+	Matrix channel: \texttt{\#garage:deuxfleurs.fr}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Who I am}
+	\begin{columns}[t]
+		\begin{column}{.2\textwidth}
+			\centering
+			\adjincludegraphics[width=.4\linewidth, valign=t]{../assets/alex.jpg}
+		\end{column}
+		\begin{column}{.6\textwidth}
+			\textbf{Alex Auvolat}\\
+			PhD; co-founder of Deuxfleurs
+		\end{column}
+		\begin{column}{.2\textwidth}
+			~
+		\end{column}
+	\end{columns}
+	\vspace{2em}
+
+	\begin{columns}[t]
+		\begin{column}{.2\textwidth}
+			\centering
+			\adjincludegraphics[width=.5\linewidth, valign=t]{../assets/logos/deuxfleurs.pdf}
+		\end{column}
+		\begin{column}{.6\textwidth}
+			\textbf{Deuxfleurs}\\
+			A non-profit self-hosting collective,\\
+			member of the CHATONS network
+		\end{column}
+		\begin{column}{.2\textwidth}
+			\centering
+			\adjincludegraphics[width=.7\linewidth, valign=t]{../assets/logos/logo_chatons.png}
+		\end{column}
+	\end{columns}
+
+\end{frame}
+
+\begin{frame}
+	\frametitle{Our objective at Deuxfleurs}
+	
+	\begin{center}
+		\textbf{Promote self-hosting and small-scale hosting\\
+			as an alternative to large cloud providers}
+	\end{center}
+	\vspace{2em}
+	\visible<2->{
+		Why is it hard?
+		\vspace{2em}
+		\begin{center}
+			\textbf{\underline{Resilience}}\\
+			{\footnotesize we want good uptime/availability with low supervision}
+		\end{center}
+	}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Our very low-tech infrastructure}
+
+	\only<1,3-6>{
+		\begin{itemize}
+			\item \textcolor<4->{gray}{Commodity hardware (e.g. old desktop PCs)\\
+				\vspace{.5em}
+				\visible<3->{{\footnotesize (can die at any time)}}}
+				\vspace{1.5em}
+			\item<4-> \textcolor<6->{gray}{Regular Internet (e.g. FTTB, FTTH) and power grid connections\\
+				\vspace{.5em}
+				\visible<5->{{\footnotesize (can be unavailable randomly)}}}
+				\vspace{1.5em}
+			\item<6-> \textbf{Geographical redundancy} (multi-site replication)
+		\end{itemize}
+	}
+	\only<2>{
+		\begin{center}
+			\includegraphics[width=.8\linewidth]{../assets/neptune.jpg}
+		\end{center}
+	}
+	\only<7>{
+		\begin{center}
+			\includegraphics[width=.8\linewidth]{../assets/inframap_jdll2023.pdf}
+		\end{center}
+	}
+\end{frame}
+
+\begin{frame}
+	\frametitle{How to make this happen}
+	\begin{center}
+		\only<1>{\includegraphics[width=.8\linewidth]{../assets/intro/slide1.png}}%
+		\only<2>{\includegraphics[width=.8\linewidth]{../assets/intro/slide2.png}}%
+		\only<3>{\includegraphics[width=.8\linewidth]{../assets/intro/slide3.png}}%
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Distributed file systems are slow}
+	File systems are complex, for example:
+	\vspace{1em}
+	\begin{itemize}
+		\item Concurrent modification by several processes
+			\vspace{1em}
+		\item Folder hierarchies
+			\vspace{1em}
+		\item Other requirements of the POSIX spec (e.g.~locks)
+	\end{itemize}
+	\vspace{1em}
+	Coordination in a distributed system is costly
+
+	\vspace{1em}
+	Costs explode with commodity hardware / Internet connections\\
+	{\small (we experienced this!)}
+\end{frame}
+
+\begin{frame}
+	\frametitle{A simpler solution: object storage}
+	Only two operations:
+	\vspace{1em}
+	\begin{itemize}
+		\item Put an object at a key
+			\vspace{1em}
+		\item Retrieve an object from its key
+	\end{itemize}
+	\vspace{1em}
+	{\footnotesize (and a few others)}
+
+	\vspace{1em}
+	Sufficient for many applications!
+\end{frame}
+
+\begin{frame}
+	\frametitle{A simpler solution: object storage}
+		\begin{center}
+			\includegraphics[height=6em]{../assets/logos/Amazon-S3.jpg}
+			\hspace{3em}
+			\visible<2->{\includegraphics[height=5em]{../assets/logos/minio.png}}
+			\hspace{3em}
+			\visible<3>{\includegraphics[height=6em]{../../logo/garage_hires_crop.png}}
+		\end{center}
+		\vspace{1em}
+	S3: a de-facto standard, many compatible applications
+
+	\vspace{1em}
+	\visible<2->{MinIO is self-hostable but not suited for geo-distributed deployments}
+
+	\vspace{1em}
+	\visible<3->{\textbf{Garage is a self-hosted drop-in replacement for the Amazon S3 object store}}
+\end{frame}
+
+% --------- BASED ON CRDTS ----------
+
+\section{Principle 1: based on CRDTs}
+
+\begin{frame}
+	\frametitle{CRDTs / weak consistency instead of consensus}
+
+	\underline{Internally, Garage uses only CRDTs} (conflict-free replicated data types)
+
+	\vspace{2em}
+	Why not Raft, Paxos, ...? Issues of consensus algorithms:
+
+	\vspace{1em}
+	\begin{itemize}
+		\item<2-> \textbf{Software complexity}
+			\vspace{1em}
+		\item<3-> \textbf{Performance issues:}
+			\vspace{.5em}
+			\begin{itemize}
+				\item<4-> The leader is a \textbf{bottleneck} for all requests\\
+					\vspace{.5em}
+				\item<5-> \textbf{Sensitive to higher latency} between nodes
+					\vspace{.5em}
+				\item<6-> \textbf{Takes time to reconverge} when disrupted (e.g. node going down)
+			\end{itemize}
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{The data model of object storage}
+	Object storage is basically a \textbf{key-value store}:
+	\vspace{.5em}
+
+	{\scriptsize
+		\begin{center}
+		\begin{tabular}{|l|p{7cm}|}
+			\hline
+			\textbf{Key: file path + name} & \textbf{Value: file data + metadata} \\
+			\hline
+			\hline
+			\texttt{index.html} &
+				\texttt{Content-Type: text/html; charset=utf-8} \newline
+				\texttt{Content-Length: 24929} \newline
+				\texttt{<binary blob>} \\ 
+			\hline
+			\texttt{img/logo.svg} &
+				\texttt{Content-Type: text/svg+xml} \newline
+				\texttt{Content-Length: 13429} \newline
+				\texttt{<binary blob>} \\ 
+			\hline
+			\texttt{download/index.html} &
+				\texttt{Content-Type: text/html; charset=utf-8} \newline
+				\texttt{Content-Length: 26563} \newline
+				\texttt{<binary blob>} \\ 
+			\hline
+		\end{tabular}
+		\end{center}
+		}
+
+	\vspace{.5em}
+	\begin{itemize}
+		\item<2-> Maps well to CRDT data types
+		\item<3> Read-after-write consistency with quorums
+	\end{itemize}
+\end{frame}
+
+
+\begin{frame}
+	\frametitle{Performance gains in practice}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/perf/endpoint_latency_0.7_0.8_minio.png}
+	\end{center}
+\end{frame}
+
+% --------- GEO-DISTRIBUTED MODEL ----------
+
+\section{Principle 2: geo-distributed data model}
+
+\begin{frame}
+	\frametitle{Key-value stores, upgraded: the Dynamo model}
+	\textbf{Two keys:}
+	\begin{itemize}
+		\item Partition key: used to divide data into partitions {\small (a.k.a.~shards)}
+		\item Sort key: used to identify items inside a partition
+	\end{itemize}
+
+	\vspace{1em}
+
+	\begin{center}
+	\begin{tabular}{|l|l|p{3cm}|}
+		\hline
+		\textbf{Partition key: bucket} & \textbf{Sort key: filename} & \textbf{Value} \\
+		\hline
+		\hline
+		\texttt{website} & \texttt{index.html} & (file data) \\
+		\hline
+		\texttt{website} & \texttt{img/logo.svg} & (file data) \\
+		\hline
+		\texttt{website} & \texttt{download/index.html} & (file data) \\
+		\hline
+		\hline
+		\texttt{backup} & \texttt{borg/index.2822} & (file data) \\
+		\hline
+		\texttt{backup} & \texttt{borg/data/2/2329} & (file data) \\
+		\hline
+		\texttt{backup} & \texttt{borg/data/2/2680} & (file data) \\
+		\hline
+		\hline
+		\texttt{private} & \texttt{qq3a2nbe1qjq0ebbvo6ocsp6co} & (file data) \\
+		\hline
+	\end{tabular}
+	\end{center}
+\end{frame}
+
+
+\begin{frame}
+	\frametitle{Layout computation}
+	\begin{overprint}
+		\onslide<1>
+		\begin{center}
+			\includegraphics[width=\linewidth, trim=0 0 0 -4cm]{../assets/screenshots/garage_status_0.9_prod_zonehl.png}
+		\end{center}
+		\onslide<2>
+		\begin{center}
+			\includegraphics[width=.7\linewidth]{../assets/map.png}
+		\end{center}
+	\end{overprint}
+	\vspace{1em}
+	Garage stores replicas on different zones when possible
+\end{frame}
+
+\begin{frame}
+	\frametitle{What a "layout" is}
+		\textbf{A layout is a precomputed index table:}
+		\vspace{1em}
+
+		{\footnotesize
+			\begin{center}
+			\begin{tabular}{|l|l|l|l|}
+				\hline
+				\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
+				\hline
+				\hline
+				Partition 0 & df-ymk (bespin) & Abricot (scorpio) & Courgette (neptune) \\
+				\hline
+				Partition 1 & Ananas (scorpio) & Courgette (neptune) & df-ykl (bespin) \\
+				\hline
+				Partition 2 & df-ymf (bespin) & Celeri (neptune) & Abricot (scorpio) \\
+				\hline
+				\hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ \\
+				\hline
+				Partition 255 & Concombre (neptune) & df-ykl (bespin) & Abricot (scorpio) \\
+				\hline
+			\end{tabular}
+			\end{center}
+		}
+
+	\vspace{2em}
+	\visible<2->{
+		The index table is built centrally using an optimal algorithm,\\
+		then propagated to all nodes
+	}
+
+	\vspace{1em}
+	\visible<3->{
+		\footnotesize
+		Oulamara, M., \& Auvolat, A. (2023). \emph{An algorithm for geo-distributed and redundant storage in Garage}.\\ arXiv preprint arXiv:2302.13798.
+	}
+\end{frame}
+
+
+\begin{frame}
+	\frametitle{The relationship between \emph{partition} and \emph{partition key}}
+	\begin{center}
+	\begin{tabular}{|l|l|l|l|}
+		\hline
+		\textbf{Partition key} & \textbf{Partition} & \textbf{Sort key} & \textbf{Value} \\
+		\hline
+		\hline
+		\texttt{website} & Partition 12 & \texttt{index.html} & (file data) \\
+		\hline
+		\texttt{website} & Partition 12 & \texttt{img/logo.svg} & (file data) \\
+		\hline
+		\texttt{website} & Partition 12 &\texttt{download/index.html} & (file data) \\
+		\hline
+		\hline
+		\texttt{backup} & Partition 42 & \texttt{borg/index.2822} & (file data) \\
+		\hline
+		\texttt{backup} & Partition 42 & \texttt{borg/data/2/2329} & (file data) \\
+		\hline
+		\texttt{backup} & Partition 42 & \texttt{borg/data/2/2680} & (file data) \\
+		\hline
+		\hline
+		\texttt{private} & Partition 42 & \texttt{qq3a2nbe1qjq0ebbvo6ocsp6co} & (file data) \\
+		\hline
+	\end{tabular}
+	\end{center}
+	\vspace{1em}
+	\textbf{To read or write an item:} hash partition key
+	\\ \hspace{5cm} $\to$ determine partition number (first 8 bits)
+	\\ \hspace{5cm} $\to$ find associated nodes
+\end{frame}
+
+\begin{frame}
+	\frametitle{Garage's internal data structures}
+	\centering
+	\includegraphics[width=.75\columnwidth]{../assets/garage_tables.pdf}
+\end{frame}
+
+% ---------- OPERATING GARAGE ---------
+
+\section{Operating Garage clusters}
+
+\begin{frame}
+	\frametitle{Operating Garage}
+	\begin{center}
+		\only<1-2>{
+			\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_0.10.png}
+			\\\vspace{1em}
+			\visible<2>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_unhealthy_0.10.png}}
+		}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Background synchronization}
+	\begin{center}
+		\includegraphics[width=.6\linewidth]{../assets/garage_sync.drawio.pdf}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Digging deeper}
+	\begin{center}
+		\only<1>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_stats_0.10.png}}
+		\only<2>{\includegraphics[width=.5\linewidth]{../assets/screenshots/garage_worker_list_0.10.png}}
+		\only<3>{\includegraphics[width=.6\linewidth]{../assets/screenshots/garage_worker_param_0.10.png}}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Monitoring with Prometheus + Grafana}
+	\begin{center}
+		\includegraphics[width=.9\linewidth]{../assets/screenshots/grafana_dashboard.png}
+	\end{center}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Debugging with traces}
+	\begin{center}
+		\includegraphics[width=.8\linewidth]{../assets/screenshots/jaeger_listobjects.png}
+	\end{center}
+\end{frame}
+
+% ---------- SCALING GARAGE ---------
+
+\section{Scaling Garage clusters}
+
+\begin{frame}
+	\frametitle{Potential limitations and bottlenecks}
+	\begin{itemize}
+		\item Global:
+			\begin{itemize}
+				\item Max. $\sim$100 nodes per cluster (excluding gateways)
+			\end{itemize}
+			\vspace{1em}
+		\item Metadata:
+			\begin{itemize}
+				\item One big bucket = bottleneck, object list on 3 nodes only
+			\end{itemize}
+			\vspace{1em}
+		\item Block manager:
+			\begin{itemize}
+				\item Lots of small files on disk
+				\item Processing the resync queue can be slow
+			\end{itemize}
+	\end{itemize}
+\end{frame}
+
+\begin{frame}
+	\frametitle{Deployment advice for very large clusters}
+	\begin{itemize}
+		\item Metadata storage:
+			\begin{itemize}
+				\item ZFS mirror (x2) on fast NVMe
+				\item Use LMDB storage engine
+			\end{itemize}
+			\vspace{.5em}
+		\item Data block storage:
+			\begin{itemize}
+				\item Use Garage's native multi-HDD support
+				\item XFS on individual drives
+				\item Increase block size (1MB $\to$ 10MB, requires more RAM and good networking)
+				\item Tune \texttt{resync-tranquility} and \texttt{resync-worker-count} dynamically
+			\end{itemize}
+			\vspace{.5em}
+		\item Other :
+			\begin{itemize}
+				\item Split data over several buckets
+				\item Use less than 100 storage nodes
+				\item Use gateway nodes
+			\end{itemize}
+			\vspace{.5em}
+	\end{itemize}
+	Our deployments: $< 10$ TB. Some people have done more!
+\end{frame}
+
+
+% ======================================== END
+% ======================================== END
+% ======================================== END
+
+\begin{frame}
+	\frametitle{Where to find us}
+	\begin{center}
+			\includegraphics[width=.25\linewidth]{../../logo/garage_hires.png}\\
+			\vspace{-1em}
+		\url{https://garagehq.deuxfleurs.fr/}\\
+		\url{mailto:garagehq@deuxfleurs.fr}\\
+		\texttt{\#garage:deuxfleurs.fr} on Matrix
+
+		\vspace{1.5em}
+			\includegraphics[width=.06\linewidth]{../assets/logos/rust_logo.png}
+			\includegraphics[width=.13\linewidth]{../assets/logos/AGPLv3_Logo.png}
+	\end{center}
+\end{frame}
+
+\end{document}
+
+%% vim: set ts=4 sw=4 tw=0 noet spelllang=en :

doc/talks/assets/.gitignore

@@ -1,2 +1,8 @@
 # Files that are auto-generated when building pdfs
 deuxfleurs.pdf
+timeline-22-24.pdf
+lattice*.pdf_tex
+lattice*.pdf
+
+# tmp files generated by krita
+*~

doc/talks/assets/lattice/lattice1.svg

@@ -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>

doc/talks/assets/lattice/lattice2.svg

@@ -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>

doc/talks/assets/lattice/lattice3.svg

@@ -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>

doc/talks/assets/lattice/lattice4.svg

@@ -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>

doc/talks/assets/lattice/lattice5.svg

@@ -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>

doc/talks/assets/lattice/lattice6.svg

@@ -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>

doc/talks/assets/lattice/lattice7.svg

@@ -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>

doc/talks/assets/lattice/lattice8.svg

@@ -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>

doc/talks/assets/logos/NGI0Entrust_tag.svg

@@ -0,0 +1,149 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   version="1.1"
+   id="svg2"
+   xml:space="preserve"
+   width="1600.5095"
+   height="502.77777"
+   viewBox="0 0 480.15286 150.83333"
+   sodipodi:docname="NGI0Entrust_tag.svg"
+   inkscape:export-filename="NGI0Entrust_tag.png"
+   inkscape:export-xdpi="96"
+   inkscape:export-ydpi="96"
+   inkscape:version="1.3.2 (091e20ef0f, 2023-11-25)"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:xlink="http://www.w3.org/1999/xlink"
+   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/"><sodipodi:namedview
+     id="namedview1"
+     pagecolor="#ffffff"
+     bordercolor="#000000"
+     borderopacity="0.25"
+     inkscape:showpageshadow="2"
+     inkscape:pageopacity="0.0"
+     inkscape:pagecheckerboard="0"
+     inkscape:deskcolor="#d1d1d1"
+     inkscape:export-bgcolor="#ffffff00"
+     inkscape:zoom="0.32251476"
+     inkscape:cx="581.36873"
+     inkscape:cy="93.018997"
+     inkscape:window-width="1900"
+     inkscape:window-height="1008"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     inkscape:current-layer="svg2" /><metadata
+     id="metadata8"><rdf:RDF><cc:Work
+         rdf:about=""><dc:format>image/svg+xml</dc:format><dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" /></cc:Work></rdf:RDF></metadata><defs
+     id="defs6"><linearGradient
+       id="linearGradient1220"><stop
+         id="stop1216"
+         offset="0"
+         style="stop-color:#98bf00;stop-opacity:1;" /><stop
+         id="stop1218"
+         offset="1"
+         style="stop-color:#98bf00;stop-opacity:0.51" /></linearGradient><linearGradient
+       x1="0"
+       y1="0"
+       x2="1"
+       y2="0"
+       gradientUnits="userSpaceOnUse"
+       gradientTransform="matrix(-139.45511,-135.52185,-135.52185,139.45511,177.4727,131.75308)"
+       spreadMethod="pad"
+       id="linearGradient28"><stop
+         style="stop-opacity:1;stop-color:#00afbc"
+         offset="0"
+         id="stop24" /><stop
+         style="stop-opacity:1;stop-color:#205374"
+         offset="1"
+         id="stop26" /></linearGradient><clipPath
+       clipPathUnits="userSpaceOnUse"
+       id="clipPath38"><path
+         d="M 0,127.984 H 415.474 V 0 H 0 Z"
+         id="path36" /></clipPath><linearGradient
+       xlink:href="#linearGradient1220"
+       id="linearGradient947"
+       gradientUnits="userSpaceOnUse"
+       x1="14.915152"
+       y1="14.167241"
+       x2="214.11908"
+       y2="111.76186"
+       gradientTransform="matrix(4.4444443,0,0,-4.4444443,-33.008887,535.8)" /><clipPath
+       clipPathUnits="userSpaceOnUse"
+       id="clipPath38-9"><path
+         d="M 0,127.984 H 415.474 V 0 H 0 Z"
+         id="path36-1" /></clipPath></defs><path
+     id="path30-1"
+     style="fill:#f9f9f9;fill-opacity:1;stroke:none;stroke-width:1.33333"
+     d="m 23.734571,9.0000043 c -8.105334,0 -14.7345708,6.6305707 -14.7345708,14.7345707 V 127.09864 c 0,8.10534 6.6292368,14.73457 14.7345708,14.73457 H 243.78106 c 8.104,0 14.73516,-6.63057 14.73516,-14.73457 v -24.34687 c 0,-2.69601 1.07032,-5.28263 2.97832,-7.19063 l 12.12832,-12.127734 c 3.38667,-3.385335 3.37709,-8.876115 -0.0176,-12.250783 L 261.51622,59.159772 c -1.92,-1.908 -3,-4.505052 -3,-7.211718 V 23.734575 c 0,-8.104 -6.63116,-14.7345707 -14.73516,-14.7345707 z M 167.57344,31.463678 c 7.44667,0 14.20688,1.256061 20.27754,3.764061 2.632,1.088001 5.08275,2.388849 7.34942,3.903516 4.80533,3.209334 5.06012,10.281271 0.42011,13.935937 -2.97733,2.345334 -7.22163,2.377851 -10.34296,0.228516 -4.91334,-3.384 -10.49187,-5.075976 -16.73321,-5.075976 -5.424,0 -10.24005,1.134438 -14.44805,3.398439 -4.21066,2.269332 -7.48813,5.464221 -9.83613,9.593553 -2.348,4.128 -3.5209,8.863551 -3.5209,14.204884 0,5.262666 1.1729,9.957351 3.5209,14.085351 2.348,4.128 5.60586,7.346655 9.7752,9.653322 4.168,2.306669 8.92374,3.459959 14.2664,3.459959 3.10534,0 6.04131,-0.3652 8.80664,-1.09453 2.94134,-0.776 5.18537,-2.993344 6.0627,-5.777344 0.30933,-0.986667 -0.44658,-1.991601 -1.48125,-1.991601 -5.64933,0 -10.18571,-4.761453 -9.81504,-10.489452 0.33867,-5.226669 4.91211,-9.179884 10.15078,-9.179884 h 9.71074 c 0.0867,0 0.17072,0.01023 0.25606,0.0129 0.0867,-0.0027 0.17072,-0.0129 0.25605,-0.0129 h 0.67442 c 4.77733,0 8.64844,3.871852 8.64844,8.647852 v 12.062694 c 0,9.916005 -6.37351,18.792905 -15.84551,21.728905 -0.06,0.0187 -0.12164,0.0376 -0.18164,0.0563 -6.072,1.86133 -12.18391,2.79317 -18.33458,2.79317 -8.82399,0 -16.75577,-1.88135 -23.79843,-5.64668 -7.04267,-3.764 -12.56658,-8.98403 -16.57324,-15.662698 -4.00667,-6.678666 -6.01055,-14.225313 -6.01055,-22.645314 0,-8.417335 2.00388,-15.966223 6.01055,-22.643554 4.00666,-6.678669 9.57036,-11.900032 16.6957,-15.662698 7.12,-3.763998 15.13451,-5.646678 24.03984,-5.646678 z M 42.631642,32.920319 h 1.957032 c 2.911998,0 5.670649,1.305063 7.514647,3.558396 l 32.180275,39.300002 c 2.402667,2.936001 7.160157,1.236303 7.160157,-2.55703 V 42.633404 c 0,-5.365335 4.347753,-9.713085 9.713087,-9.713085 5.36533,0 9.71484,4.34775 9.71484,9.713085 v 65.568166 c 0,5.364 -4.34951,9.71309 -9.71484,9.71309 h -1.841018 c -2.907999,0 -5.662869,-1.30236 -7.508202,-3.54903 L 59.502542,75.025789 c -2.405334,-2.929336 -7.157814,-1.228363 -7.157814,2.562303 v 30.613478 c 0,5.364 -4.347754,9.71309 -9.713086,9.71309 -5.364,0 -9.713085,-4.34909 -9.713085,-9.71309 V 42.633404 c 0,-5.365335 4.349085,-9.713085 9.713085,-9.713085 z m 182.129888,6e-4 c 5.432,0 9.83496,4.402374 9.83496,9.834375 v 65.323826 c 0,5.432 -4.40296,9.83497 -9.83496,9.83497 -5.432,0 -9.83437,-4.40297 -9.83437,-9.83497 V 42.755279 c 0,-5.432001 4.40237,-9.834375 9.83437,-9.834375 z" /><g
+     id="g10"
+     transform="matrix(1.3333333,0,0,-1.3333333,-9.9026662,160.74)"><g
+   id="g40"
+   transform="translate(175.9982,95.8645)" /><g
+   id="g44"
+   transform="translate(152.1193,64.9934)" />
+
+
+
+
+
+
+<g
+   id="NGI0Entrust"><title
+     id="title12661">NGI Zero Entrust</title><path
+     id="path7692"
+     style="fill:#ffffff;fill-opacity:1;stroke:none;stroke-width:0.999999"
+     d="m 133.10651,96.933602 c -6.67899,0 -12.68988,-1.41201 -18.02988,-4.23501 -5.344,-2.822 -9.51678,-6.73803 -12.52178,-11.74702 -3.004994,-5.008 -4.507906,-10.66967 -4.507906,-16.982669 0,-6.314995 1.502912,-11.974991 4.507906,-16.983985 3.005,-5.008995 7.14794,-8.924024 12.42993,-11.747021 5.282,-2.823998 11.23084,-4.23501 17.84883,-4.23501 4.613,0 9.19693,0.698875 13.75093,2.094873 0.045,0.014 0.0912,0.02819 0.13623,0.04219 7.10399,2.201999 11.88413,8.859686 11.88413,16.29668 v 9.047022 c 0,3.581996 -2.90333,6.485889 -6.48633,6.485889 h -0.50581 c -0.064,0 -0.12704,-0.0077 -0.19204,-0.0097 -0.064,0.002 -0.12704,0.0097 -0.19204,0.0097 h -7.28306 c -3.92899,0 -7.35908,-2.964914 -7.61308,-6.884912 -0.278,-4.295996 3.12428,-7.86709 7.36128,-7.86709 0.776,0 1.34293,-0.753702 1.11093,-1.493702 -0.65799,-2.087998 -2.34102,-3.751009 -4.54702,-4.333008 -2.07399,-0.546999 -4.27598,-0.820898 -6.60498,-0.820898 -4.00699,0 -7.57381,0.864972 -10.6998,2.594971 -3.127,1.729999 -5.5704,4.143993 -7.3314,7.23999 -1.761,3.095997 -2.64067,6.617018 -2.64067,10.564014 0,4.005996 0.87967,7.557666 2.64067,10.653656 1.761,3.097 4.2191,5.49317 7.3771,7.19517 3.156,1.698 6.76804,2.54883 10.83604,2.54883 4.68099,0 8.8649,-1.26899 12.5499,-3.80699 2.341,-1.61199 5.52423,-1.58761 7.75723,0.17139 3.47999,2.741 3.2889,8.04495 -0.31509,10.45196 -1.7,1.13599 -3.53807,2.11163 -5.51206,2.92763 -4.553,1.881 -9.62316,2.82305 -15.20816,2.82305 z m -93.706345,-1.09248 c -4.022996,0 -7.284815,-3.26081 -7.284815,-7.28482 v -49.17612 c 0,-4.022993 3.261819,-7.284815 7.284815,-7.284815 4.023996,0 7.284814,3.261822 7.284814,7.284815 V 62.34029 c 0,2.842996 3.564362,4.118722 5.36836,1.921728 L 76.282148,34.757135 c 1.383999,-1.685 3.450155,-2.661768 5.631153,-2.661768 h 1.380761 c 4.023997,0 7.286133,3.261822 7.286133,7.284815 v 49.17612 c 0,4.02401 -3.262136,7.28482 -7.286133,7.28482 -4.023995,0 -7.284815,-3.26081 -7.284815,-7.28482 V 65.615095 c 0,-2.844997 -3.568118,-4.119773 -5.370117,-1.917774 L 46.503925,93.172322 c -1.382997,1.69 -3.45199,2.6688 -5.635987,2.6688 z m 136.597415,-4.4e-4 c -4.074,0 -7.37578,-3.30178 -7.37578,-7.37578 V 39.472027 c 0,-4.073996 3.30178,-7.37622 7.37578,-7.37622 4.074,0 7.37622,3.302224 7.37622,7.37622 v 48.992875 c 0,4.074 -3.30222,7.37578 -7.37622,7.37578 z" /><path
+     id="path30"
+     style="fill:url(#linearGradient947);fill-opacity:1;stroke:none;stroke-width:4.44444"
+     d="M 79.115234 30 C 52.097457 30 30 52.101902 30 79.115234 L 30 423.66211 C 30 450.67989 52.097457 472.77734 79.115234 472.77734 L 812.60352 472.77734 C 839.61685 472.77734 861.7207 450.67544 861.7207 423.66211 L 861.7207 342.50586 C 861.7207 333.51919 865.28844 324.89711 871.64844 318.53711 L 912.07617 278.11133 C 923.36506 266.82688 923.33313 248.52428 912.01758 237.27539 L 871.7207 197.19922 C 865.3207 190.83922 861.7207 182.18238 861.7207 173.16016 L 861.7207 79.115234 C 861.7207 52.101902 839.61685 30 812.60352 30 L 79.115234 30 z M 558.57812 104.87891 C 583.40035 104.87891 605.93437 109.06578 626.16992 117.42578 C 634.94325 121.05245 643.11241 125.38861 650.66797 130.4375 C 666.68575 141.13528 667.53503 164.7084 652.06836 176.89062 C 642.14392 184.7084 627.99624 184.81679 617.5918 177.65234 C 601.21402 166.37234 582.6189 160.73242 561.81445 160.73242 C 543.73445 160.73242 527.68096 164.51388 513.6543 172.06055 C 499.61874 179.62499 488.69385 190.27462 480.86719 204.03906 C 473.04052 217.79906 469.13086 233.58423 469.13086 251.38867 C 469.13086 268.93089 473.04052 284.57984 480.86719 298.33984 C 488.69385 312.09984 499.55339 322.82869 513.45117 330.51758 C 527.3445 338.20647 543.19697 342.05078 561.00586 342.05078 C 571.35697 342.05078 581.14355 340.83345 590.36133 338.40234 C 600.16577 335.81568 607.64587 328.42453 610.57031 319.14453 C 611.60142 315.85564 609.0817 312.50586 605.63281 312.50586 C 586.8017 312.50586 571.68046 296.63435 572.91602 277.54102 C 574.0449 260.11879 589.28973 246.94141 606.75195 246.94141 L 639.12109 246.94141 C 639.40998 246.94141 639.69016 246.97549 639.97461 246.98438 C 640.2635 246.97549 640.54368 246.94141 640.82812 246.94141 L 643.07617 246.94141 C 659.00062 246.94141 671.9043 259.84758 671.9043 275.76758 L 671.9043 315.97656 C 671.9043 349.0299 650.65927 378.61958 619.08594 388.40625 C 618.88594 388.46847 618.68047 388.53153 618.48047 388.59375 C 598.24047 394.79819 577.86746 397.9043 557.36523 397.9043 C 527.9519 397.9043 501.51266 391.63314 478.03711 379.08203 C 454.56155 366.53536 436.14852 349.13527 422.79297 326.87305 C 409.43741 304.61083 402.75781 279.45534 402.75781 251.38867 C 402.75781 223.33089 409.43741 198.16793 422.79297 175.91016 C 436.14852 153.64793 454.6942 136.24339 478.44531 123.70117 C 502.17865 111.15451 528.89368 104.87891 558.57812 104.87891 z M 142.10547 109.73438 L 148.62891 109.73438 C 158.33557 109.73438 167.53107 114.08459 173.67773 121.5957 L 280.94531 252.5957 C 288.9542 262.38237 304.8125 256.71671 304.8125 244.07227 L 304.8125 142.11133 C 304.8125 124.22688 319.30501 109.73438 337.18945 109.73438 C 355.0739 109.73438 369.57227 124.22688 369.57227 142.11133 L 369.57227 360.67188 C 369.57227 378.55187 355.0739 393.04883 337.18945 393.04883 L 331.05273 393.04883 C 321.3594 393.04883 312.1765 388.70764 306.02539 381.21875 L 198.3418 250.08594 C 190.32402 240.32149 174.48242 245.9914 174.48242 258.62695 L 174.48242 360.67188 C 174.48242 378.55187 159.98991 393.04883 142.10547 393.04883 C 124.22547 393.04883 109.72852 378.55187 109.72852 360.67188 L 109.72852 142.11133 C 109.72852 124.22688 124.22547 109.73438 142.10547 109.73438 z M 749.20508 109.73633 C 767.31174 109.73633 781.98828 124.41091 781.98828 142.51758 L 781.98828 360.26367 C 781.98828 378.37034 767.31174 393.04688 749.20508 393.04688 C 731.09841 393.04688 716.42383 378.37034 716.42383 360.26367 L 716.42383 142.51758 C 716.42383 124.41091 731.09841 109.73633 749.20508 109.73633 z "
+     transform="matrix(0.22500001,0,0,-0.22500001,7.4269998,120.555)" /><g
+     aria-label="Z E R O"
+     transform="scale(1,-1)"
+     id="text56"
+     style="font-weight:600;font-size:31.76px;font-family:'Montserrat SemiBold';-inkscape-font-specification:Montserrat-SemiBold;fill:#6f9aa8"><path
+       d="m 261.75384,-85.665085 -13.08512,15.97528 h 13.498 v 3.4936 H 243.206 v -2.76312 l 13.08512,-15.97528 h -12.8628 v -3.4936 h 18.32552 z"
+       id="path12603" /><path
+       d="m 278.84063,-75.787725 v 6.12968 h 12.5452 v 3.46184 h -16.674 v -22.232 h 16.22936 v 3.46184 h -12.10056 v 5.78032 h 10.73488 v 3.39832 z"
+       id="path12605" /><path
+       d="m 323.74919,-66.196205 h -4.4464 l -4.54168,-6.5108 q -0.28584,0.03176 -0.85752,0.03176 h -5.01808 v 6.47904 h -4.1288 v -22.232 h 9.14688 q 2.89016,0 5.01808,0.9528 2.15968,0.9528 3.30304,2.73136 1.14336,1.77856 1.14336,4.22408 0,2.50904 -1.23864,4.31936 -1.20688,1.81032 -3.4936,2.6996 z m -4.54168,-14.32376 q 0,-2.12792 -1.39744,-3.27128 -1.39744,-1.14336 -4.09704,-1.14336 h -4.82752 v 8.86104 h 4.82752 q 2.6996,0 4.09704,-1.14336 1.39744,-1.17512 1.39744,-3.30304 z"
+       id="path12607" /><path
+       d="m 347.12448,-65.878605 q -3.39832,0 -6.12968,-1.46096 -2.73136,-1.49272 -4.2876,-4.09704 -1.55624,-2.63608 -1.55624,-5.8756 0,-3.23952 1.55624,-5.84384 1.55624,-2.63608 4.2876,-4.09704 2.73136,-1.49272 6.12968,-1.49272 3.39832,0 6.12968,1.49272 2.73136,1.46096 4.2876,4.06528 1.55624,2.60432 1.55624,5.8756 0,3.27128 -1.55624,5.8756 -1.55624,2.60432 -4.2876,4.09704 -2.73136,1.46096 -6.12968,1.46096 z m 0,-3.62064 q 2.2232,0 4.00176,-0.98456 1.77856,-1.01632 2.79488,-2.79488 1.01632,-1.81032 1.01632,-4.03352 0,-2.2232 -1.01632,-4.00176 -1.01632,-1.81032 -2.79488,-2.79488 -1.77856,-1.01632 -4.00176,-1.01632 -2.2232,0 -4.00176,1.01632 -1.77856,0.98456 -2.79488,2.79488 -1.01632,1.77856 -1.01632,4.00176 0,2.2232 1.01632,4.03352 1.01632,1.77856 2.79488,2.79488 1.77856,0.98456 4.00176,0.98456 z"
+       id="path12609" /></g><g
+     aria-label="ENTRUST"
+     transform="scale(0.99994801,-1.000052)"
+     id="Entrust"
+     style="font-weight:bold;font-size:20.009px;font-family:'Montserrat SemiBold';-inkscape-font-specification:'Montserrat SemiBold, Bold';letter-spacing:3.55932px;fill:#6f9aa8;stroke-width:0.999947"><path
+       d="m 245.81989,-41.935548 v 3.861737 h 7.90356 v 2.180981 h -10.50473 v -14.0063 h 10.2246 v 2.180981 h -7.62343 v 3.641638 h 6.76304 v 2.140963 z"
+       id="path12612" /><path
+       d="m 270.04847,-40.414864 v -9.484266 h 2.58116 v 14.0063 h -2.14096 l -7.72347,-9.484266 v 9.484266 h -2.58117 v -14.0063 h 2.14097 z"
+       id="path12614" /><path
+       d="m 285.39308,-35.89283 h -2.60117 v -11.80531 h -4.64209 v -2.20099 h 11.88535 v 2.20099 h -4.64209 z"
+       id="path12616" /><path
+       d="m 307.52074,-35.89283 h -2.80126 l -2.86129,-4.101845 q -0.18008,0.02001 -0.54024,0.02001 h -3.16142 v 4.081836 h -2.60117 v -14.0063 h 5.76259 q 1.82082,0 3.16142,0.60027 1.36061,0.60027 2.08094,1.720774 0.72032,1.120504 0.72032,2.661197 0,1.580711 -0.78035,2.721224 -0.76034,1.140513 -2.20099,1.700765 z m -2.86129,-9.024059 q 0,-1.340603 -0.88039,-2.060927 -0.8804,-0.720324 -2.58116,-0.720324 h -3.04137 v 5.582511 h 3.04137 q 1.70076,0 2.58116,-0.720324 0.88039,-0.740333 0.88039,-2.080936 z"
+       id="path12618" /><path
+       d="m 319.76395,-35.69274 q -2.90131,0 -4.52204,-1.620729 -1.62073,-1.640738 -1.62073,-4.682106 v -7.903555 h 2.60117 v 7.80351 q 0,4.121854 3.5616,4.121854 3.5416,0 3.5416,-4.121854 v -7.80351 h 2.56115 v 7.903555 q 0,3.041368 -1.62073,4.682106 -1.60072,1.620729 -4.50202,1.620729 z"
+       id="path12620" /><path
+       d="m 337.4296,-35.69274 q -1.62073,0 -3.14141,-0.460207 -1.50068,-0.460207 -2.38107,-1.220549 l 0.9004,-2.020909 q 0.86039,0.680306 2.10095,1.120504 1.26056,0.420189 2.52113,0.420189 1.5607,0 2.32105,-0.500225 0.78035,-0.500225 0.78035,-1.320594 0,-0.60027 -0.4402,-0.980441 -0.42019,-0.40018 -1.08049,-0.620279 -0.66029,-0.220099 -1.80081,-0.500225 -1.60072,-0.380171 -2.60117,-0.760342 -0.98044,-0.380171 -1.70076,-1.180531 -0.70032,-0.820369 -0.70032,-2.20099 0,-1.160522 0.62028,-2.100945 0.64029,-0.960432 1.90086,-1.520684 1.28057,-0.560252 3.1214,-0.560252 1.28058,0 2.52113,0.320144 1.24056,0.320144 2.14097,0.920414 l -0.82037,2.020909 q -0.92042,-0.540243 -1.92087,-0.820369 -1.00045,-0.280126 -1.94087,-0.280126 -1.54069,0 -2.30103,0.520234 -0.74034,0.520234 -0.74034,1.380621 0,0.60027 0.42019,0.980441 0.4402,0.380171 1.1005,0.60027 0.66029,0.220099 1.80081,0.500225 1.5607,0.360162 2.56115,0.760342 1.00045,0.380171 1.70076,1.180531 0.72033,0.80036 0.72033,2.160972 0,1.160522 -0.64029,2.100945 -0.62028,0.940423 -1.90085,1.500675 -1.28058,0.560252 -3.12141,0.560252 z"
+       id="path12622" /><path
+       d="m 354.47498,-35.89283 h -2.60117 v -11.80531 h -4.64209 v -2.20099 h 11.88535 v 2.20099 h -4.64209 z"
+       id="path12624" /></g></g>
+
+
+
+<text
+   style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:20.01px;font-family:'Montserrat SemiBold';-inkscape-font-specification:'Montserrat SemiBold, Bold';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start;fill:#6f9aa8;fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:1"
+   id="text2843"
+   x="240.16206"
+   y="-35.894695"
+   transform="scale(1,-1)"><tspan
+     id="tspan2841"
+     x="240.16206"
+     y="-35.894695" /></text></g></svg>

doc/talks/assets/logos/nlnet.svg

@@ -0,0 +1,34 @@
+<?xml version="1.0" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 20010904//EN" "http://www.w3.org/TR/2001/REC-SVG-20010904/DTD/svg10.dtd">
+<!-- Created using Karbon14, part of koffice: http://www.koffice.org/karbon -->
+<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="449px" height="168px">
+  <defs>
+  </defs>
+  <g id="Layer">
+  </g>
+  <g id="Layer">
+    <path fill="#98bf00" d="M446.602 73.8789L449.102 60.234L436.207 60.234L439.957 40.145L424.512 46.191L422.012 60.234L412.617 60.234L410.117 73.8789L419.363 73.8789L416.215 91.1719C416.066 92.125 415.816 93.5234 415.566 95.3203C415.316 97.1211 415.164 98.7188 415.164 100.07C415.215 106.316 416.715 111.465 419.664 115.516C422.613 119.66 427.41 122.109 434.109 122.859L440.555 109.566C437.105 109.117 434.508 107.766 432.66 105.469C430.809 103.117 429.91 100.168 429.91 96.5703C429.91 95.8711 430.012 94.8711 430.16 93.5234C430.309 92.1719 430.461 91.0742 430.609 90.2227L433.609 73.8789L446.602 73.8789L446.602 73.8789Z"  />
+    <path fill="#98bf00" d="M310.707 72.332C313.105 71.4805 315.207 71.0312 316.957 71.0312C318.855 71.0312 320.453 71.582 321.754 72.6797C323.004 73.7305 323.602 75.2812 323.602 77.4297C323.602 78.0273 323.504 78.9297 323.301 80.1797C323.102 81.3281 322.953 82.3789 322.805 83.2773L319.203 100.168C318.953 101.469 318.703 102.82 318.453 104.219C318.203 105.668 318.105 106.918 318.105 107.965C318.105 112.016 319.203 115.414 321.453 118.113C323.602 120.812 327.449 122.41 333 122.859L339.348 110.016C337.195 109.668 335.648 108.867 334.699 107.617C333.699 106.418 333.199 104.719 333.199 102.57C333.199 102.07 333.25 101.469 333.348 100.82C333.398 100.168 333.5 99.6211 333.547 99.2188L337.195 82.0273C337.496 80.5781 337.746 79.1289 337.945 77.6797C338.148 76.2812 338.246 74.8789 338.246 73.5312C338.246 68.582 336.797 64.586 333.898 61.637C330.949 58.688 326.852 57.188 321.602 57.188C318.555 57.188 315.656 57.688 312.809 58.688C310.008 59.637 306.609 61.234 302.66 63.586C302.512 62.637 302.16 61.484 301.66 60.188C301.113 58.938 300.512 57.836 299.863 56.836L286.469 62.586C287.617 64.336 288.516 66.184 289.066 68.082C289.566 69.9805 289.816 71.7812 289.816 73.4297C289.816 74.2812 289.766 75.3281 289.617 76.4805C289.516 77.6289 289.367 78.5273 289.215 79.1797L281.27 121.512L295.664 121.512L304.109 75.8281C306.16 74.2812 308.359 73.1289 310.707 72.332L310.707 72.332Z"  />
+    <path fill="#98bf00" d="M350.742 80.0781C349.191 84.6758 348.441 89.5742 348.441 94.7227C348.441 99.2188 349.043 103.219 350.191 106.719C351.34 110.215 352.992 113.164 355.09 115.516C357.141 117.914 359.688 119.711 362.637 120.961C365.586 122.211 368.883 122.859 372.484 122.859C376.832 122.859 381.129 122.062 385.43 120.461C389.777 118.863 393.574 116.363 396.824 113.016L391.426 100.519C388.926 103.32 386.176 105.418 383.129 106.867C380.078 108.316 377.031 109.016 374.031 109.016C370.535 109.016 367.785 107.918 365.785 105.719C363.836 103.469 362.836 100.668 362.836 97.3711L362.836 96.4219C362.836 96.0234 362.887 95.6211 362.988 95.2227C365.637 94.8711 368.633 94.4219 371.984 93.8242C375.332 93.2227 378.73 92.5234 382.18 91.7227C385.629 90.875 388.977 89.9258 392.273 88.9258C395.523 87.9258 398.422 86.875 400.871 85.8242L400.871 80.0781C400.871 76.5312 400.32 73.332 399.223 70.4805C398.074 67.734 396.574 65.332 394.625 63.285C392.676 61.285 390.324 59.785 387.676 58.785C385.078 57.738 382.23 57.188 379.18 57.188C374.73 57.188 370.582 58.188 366.836 60.137C363.035 62.086 359.789 64.785 357.141 68.2344C354.391 71.6328 352.293 75.5781 350.742 80.0781L350.742 80.0781ZM372.383 69.9805C373.934 69.1328 375.684 68.7344 377.633 68.7344C380.281 68.7344 382.48 69.582 384.227 71.332C385.977 73.0312 386.879 75.5781 386.879 79.0273C385.43 79.4766 383.727 80.0273 381.73 80.5781C379.68 81.0781 377.633 81.5781 375.531 82.0273C373.383 82.4766 371.332 82.9258 369.285 83.3281C367.234 83.6758 365.484 83.9766 363.984 84.2266C364.234 82.1289 364.688 80.1289 365.387 78.2773C366.137 76.4297 367.086 74.7812 368.234 73.3789C369.484 71.9805 370.832 70.832 372.383 69.9805L372.383 69.9805Z"  fill-rule="evenodd" />
+    <path fill="#000000" d="M404.172 140.453C404.172 139.203 403.969 138.055 403.57 137.055C403.172 136.055 402.621 135.207 401.973 134.457C401.27 133.758 400.473 133.207 399.523 132.856C398.574 132.508 397.523 132.309 396.422 132.309C394.973 132.309 393.625 132.606 392.375 133.156C391.125 133.707 390.027 134.508 389.078 135.504C388.125 136.504 387.379 137.656 386.828 139.004C386.277 140.356 385.977 141.805 385.977 143.402C385.977 144.652 386.176 145.75 386.578 146.801C386.926 147.801 387.477 148.652 388.176 149.352C388.828 150.101 389.676 150.648 390.625 151.051C391.574 151.399 392.625 151.598 393.773 151.598C395.176 151.598 396.523 151.301 397.773 150.75C399.023 150.199 400.121 149.398 401.07 148.402C402.02 147.449 402.77 146.25 403.32 144.902C403.871 143.551 404.172 142.055 404.172 140.453L404.172 140.453ZM390.277 140.402C390.574 139.504 390.977 138.703 391.477 138.004C392.023 137.305 392.676 136.754 393.426 136.305C394.176 135.856 394.973 135.656 395.922 135.656C397.371 135.656 398.422 136.106 399.172 137.004C399.922 137.856 400.32 139.106 400.32 140.652C400.32 141.602 400.172 142.555 399.871 143.504C399.621 144.402 399.223 145.203 398.672 145.902C398.121 146.602 397.473 147.152 396.723 147.601C395.973 148 395.125 148.199 394.223 148.199C392.773 148.199 391.727 147.75 390.977 146.902C390.227 146 389.824 144.801 389.824 143.254C389.824 142.305 389.977 141.352 390.277 140.402L390.277 140.402Z"  fill-rule="evenodd" />
+    <path fill="#000000" d="M434.559 132.559L431.008 132.559L429.109 143.602C429.059 143.754 429.012 144.004 429.012 144.352C429.012 144.703 429.012 144.953 429.012 145.203L428.859 145.203L422.465 132.559L419.113 132.559L415.766 151.301L419.363 151.301L421.363 140.004C421.414 139.856 421.414 139.606 421.414 139.356C421.414 139.106 421.414 138.805 421.414 138.504L421.563 138.504L428.109 151.449L431.309 151.149L434.559 132.559L434.559 132.559Z"  />
+    <path fill="#000000" d="M374.383 132.559L370.734 132.559L367.387 151.301L371.082 151.301L374.383 132.559L374.383 132.559Z"  />
+    <path fill="#000000" d="M328.949 132.559L324.703 132.559C323.902 133.906 323.051 135.457 322.102 137.106C321.152 138.754 320.254 140.453 319.355 142.152C318.453 143.852 317.656 145.5 316.906 147.102C316.156 148.699 315.555 150.101 315.105 151.301L318.953 151.301C319.105 150.949 319.254 150.5 319.453 150.051C319.652 149.602 319.855 149.102 320.105 148.652C320.305 148.199 320.504 147.75 320.703 147.301C320.902 146.852 321.102 146.453 321.254 146.102L327.75 146.102C327.801 146.551 327.801 147 327.852 147.5L328 148.949C328.051 149.398 328.102 149.852 328.152 150.301C328.199 150.75 328.199 151.098 328.199 151.449L331.898 151.149C331.898 150.449 331.848 149.648 331.75 148.699C331.699 147.75 331.551 146.75 331.398 145.703C331.25 144.652 331.098 143.504 330.898 142.351C330.75 141.203 330.551 140.055 330.301 138.906C330.102 137.754 329.898 136.656 329.648 135.555C329.398 134.508 329.199 133.508 328.949 132.559L328.949 132.559ZM326.602 138.106C326.703 138.656 326.801 139.254 326.902 139.902C327 140.504 327.102 141.106 327.152 141.652C327.25 142.203 327.301 142.601 327.352 142.953L322.703 142.953C322.953 142.504 323.203 142.004 323.453 141.453C323.754 140.902 324.051 140.305 324.352 139.703C324.703 139.106 325 138.555 325.301 138.004C325.602 137.453 325.852 136.957 326.102 136.606L326.301 136.606C326.402 137.004 326.5 137.504 326.602 138.106L326.602 138.106Z"  fill-rule="evenodd" />
+    <path fill="#000000" d="M357.641 135.957L358.188 132.559L345.395 132.559L344.844 135.957L349.391 135.957L346.742 151.301L350.391 151.301L353.09 135.957L357.641 135.957L357.641 135.957Z"  />
+    <path fill="#000000" d="M297.465 132.309C296.414 132.309 295.363 132.356 294.312 132.457C293.266 132.606 292.266 132.758 291.316 133.008L288.168 150.852C289.117 151.098 290.215 151.25 291.414 151.399C292.566 151.551 293.664 151.598 294.715 151.598C296.262 151.598 297.664 151.348 299.012 150.852C300.363 150.301 301.562 149.602 302.562 148.652C303.559 147.699 304.359 146.551 304.961 145.203C305.508 143.852 305.809 142.305 305.809 140.606C305.809 139.254 305.609 138.106 305.211 137.055C304.762 136.004 304.211 135.156 303.461 134.457C302.711 133.758 301.812 133.207 300.812 132.856C299.762 132.508 298.664 132.309 297.465 132.309L297.465 132.309ZM296.664 135.707C297.414 135.707 298.113 135.805 298.762 135.957C299.414 136.106 299.961 136.406 300.41 136.805C300.91 137.203 301.312 137.703 301.562 138.356C301.812 138.953 301.961 139.703 301.961 140.652C301.961 141.852 301.812 142.902 301.461 143.852C301.16 144.801 300.711 145.602 300.113 146.25C299.512 146.902 298.812 147.352 297.961 147.699C297.113 148.051 296.215 148.199 295.164 148.199C294.715 148.199 294.266 148.199 293.715 148.152C293.164 148.102 292.664 148.051 292.316 148L294.465 135.906C294.766 135.856 295.164 135.805 295.613 135.754C296.062 135.707 296.414 135.707 296.664 135.707L296.664 135.707Z"  fill-rule="evenodd" />
+    <path fill="#000000" d="M185.809 62.586C186.957 64.336 187.855 66.184 188.406 68.082C188.906 69.9805 189.156 71.7812 189.156 73.4297C189.156 74.2812 189.105 75.3281 188.957 76.4805C188.855 77.6289 188.707 78.5273 188.555 79.1797L180.609 121.512L195.004 121.512L203.449 75.8281C205.5 74.2812 207.699 73.1289 210.047 72.332C212.445 71.4805 214.547 71.0312 216.297 71.0312C218.195 71.0312 219.793 71.582 221.094 72.6797C222.344 73.7305 222.941 75.2812 222.941 77.4297C222.941 78.0273 222.844 78.9297 222.645 80.1797C222.441 81.3281 222.293 82.3789 222.145 83.2773L218.543 100.168C218.293 101.469 218.043 102.82 217.793 104.219C217.547 105.668 217.445 106.918 217.445 107.965C217.445 112.016 218.543 115.414 220.793 118.113C222.941 120.812 226.793 122.41 232.34 122.859L238.688 110.016C236.539 109.668 234.988 108.867 234.039 107.617C233.039 106.418 232.539 104.719 232.539 102.57C232.539 102.07 232.59 101.469 232.688 100.82C232.738 100.168 232.84 99.6211 232.891 99.2188L236.539 82.0273C236.836 80.5781 237.086 79.1289 237.285 77.6797C237.488 76.2812 237.586 74.8789 237.586 73.5312C237.586 68.582 236.137 64.586 233.238 61.637C230.289 58.688 226.191 57.188 220.945 57.188C217.895 57.188 214.996 57.688 212.148 58.688C209.348 59.637 205.949 61.234 202 63.586C201.852 62.637 201.5 61.484 201 60.188C200.453 58.938 199.852 57.836 199.203 56.836L185.809 62.586L185.809 62.586Z"  />
+    <path fill="#000000" d="M276.82 31.547L262.676 31.547L251.883 90.0234C251.43 91.9727 251.082 94.0234 250.832 96.1719C250.582 98.2695 250.434 100.219 250.434 102.019C250.434 107.816 251.531 112.566 253.781 116.262C256.031 119.961 259.828 122.16 265.176 122.859L271.672 109.566C270.625 109.066 269.723 108.516 268.875 107.918C268.023 107.367 267.324 106.617 266.773 105.769C266.176 104.918 265.727 103.918 265.477 102.719C265.227 101.519 265.074 100.019 265.074 98.2695C265.074 97.4219 265.125 96.4727 265.227 95.4727C265.375 94.4219 265.527 93.3711 265.676 92.2734L276.82 31.547L276.82 31.547Z"  />
+    <path fill="#000000" d="M246.434 132.559L242.785 132.559L240.387 146.25C239.887 146.801 239.285 147.25 238.535 147.652C237.785 148 236.988 148.199 236.086 148.199C235.188 148.199 234.488 148 233.988 147.601C233.438 147.152 233.188 146.453 233.188 145.402C233.188 145.203 233.238 144.902 233.289 144.504C233.34 144.152 233.34 143.801 233.387 143.504L235.387 132.559L231.688 132.559L229.738 143.453C229.691 143.902 229.641 144.352 229.59 144.801C229.539 145.25 229.539 145.602 229.539 145.953C229.539 146.953 229.691 147.801 229.988 148.551C230.289 149.301 230.691 149.852 231.191 150.301C231.738 150.75 232.34 151.098 232.988 151.301C233.688 151.5 234.387 151.598 235.137 151.598C236.988 151.598 238.637 151.051 240.137 149.898C240.137 150.148 240.137 150.449 240.188 150.75C240.188 151 240.188 151.25 240.234 151.5L243.883 151.25C243.836 151 243.836 150.75 243.836 150.449C243.785 150.199 243.785 149.898 243.785 149.551C243.785 148.949 243.836 148.301 243.883 147.652C243.934 146.953 243.984 146.301 244.133 145.703L246.434 132.559L246.434 132.559Z"  />
+    <path fill="#000000" d="M276.621 132.559L273.074 132.559L271.172 143.602C271.125 143.754 271.074 144.004 271.074 144.352C271.074 144.703 271.074 144.953 271.074 145.203L270.922 145.203L264.527 132.559L261.176 132.559L257.828 151.301L261.426 151.301L263.426 140.004C263.477 139.856 263.477 139.606 263.477 139.356C263.477 139.106 263.477 138.805 263.477 138.504L263.625 138.504L270.176 151.449L273.371 151.149L276.621 132.559L276.621 132.559Z"  />
+    <path fill="#000000" d="M214.797 134.457C214.098 133.758 213.297 133.207 212.348 132.856C211.398 132.508 210.348 132.309 209.25 132.309C207.801 132.309 206.449 132.606 205.199 133.156C203.949 133.707 202.852 134.508 201.902 135.504C200.953 136.504 200.203 137.656 199.652 139.004C199.102 140.356 198.801 141.805 198.801 143.402C198.801 144.652 199.004 145.75 199.402 146.801C199.754 147.801 200.301 148.652 201 149.352C201.652 150.101 202.5 150.648 203.449 151.051C204.398 151.399 205.449 151.598 206.598 151.598C208 151.598 209.348 151.301 210.598 150.75C211.848 150.199 212.945 149.398 213.895 148.402C214.848 147.449 215.598 146.25 216.145 144.902C216.695 143.551 216.996 142.055 216.996 140.453C216.996 139.203 216.797 138.055 216.395 137.055C215.996 136.055 215.445 135.207 214.797 134.457L214.797 134.457ZM204.301 138.004C204.852 137.305 205.5 136.754 206.25 136.305C207 135.856 207.801 135.656 208.75 135.656C210.199 135.656 211.246 136.106 211.996 137.004C212.746 137.856 213.148 139.106 213.148 140.652C213.148 141.602 212.996 142.555 212.695 143.504C212.445 144.402 212.047 145.203 211.496 145.902C210.949 146.602 210.297 147.152 209.547 147.601C208.797 148 207.949 148.199 207.051 148.199C205.602 148.199 204.551 147.75 203.801 146.902C203.051 146 202.652 144.801 202.652 143.254C202.652 142.305 202.801 141.352 203.102 140.402C203.402 139.504 203.801 138.703 204.301 138.004L204.301 138.004Z"  fill-rule="evenodd" />
+    <path fill="#000000" d="M188.258 132.559L177.961 132.559L174.613 151.301L178.312 151.301L179.559 144.152L186.309 144.152L186.906 140.754L180.16 140.754L181.008 135.957L187.656 135.957L188.258 132.559L188.258 132.559Z"  />
+    <path fill="#98bf00" d="M127.082 44.891C128.43 33.945 125.684 24.102 118.883 15.402C112.086 6.707 103.191 1.66 92.2461 0.309C81.3008 -1.039 71.4531 1.711 62.7578 8.508C54.7109 14.754 49.8125 22.801 48.0625 32.648C47.9141 33.496 47.7617 34.297 47.6641 35.145C47.5625 35.996 47.5117 36.797 47.4648 37.594C47.1133 42.191 47.5625 46.59 48.7617 50.789C50.1133 55.688 52.4609 60.285 55.8594 64.633C59.2578 68.9805 63.1563 72.3828 67.6055 74.9297C71.3516 77.0781 75.5 78.5273 80.0508 79.3281C80.8516 79.4766 81.6484 79.5781 82.5 79.7266C82.9492 79.7773 83.3984 79.8281 83.8477 79.8789C84.9492 75.4297 86.6484 71.2812 88.9961 67.531C87.4453 67.582 85.8477 67.531 84.25 67.383C84.1484 67.332 84.0977 67.332 84.0469 67.332C82.1992 67.082 80.3984 66.734 78.75 66.184C73.6016 64.535 69.2539 61.484 65.707 56.938C62.1562 52.391 60.2578 47.441 59.9062 42.043C59.8086 40.293 59.8594 38.543 60.1094 36.695C60.1094 36.645 60.1094 36.547 60.1094 36.496C61.0586 29.047 64.5078 23 70.4531 18.352C76.4531 13.703 83.1992 11.805 90.7461 12.754C98.293 13.656 104.391 17.102 109.039 23.102C113.688 29.098 115.586 35.844 114.688 43.395C114.438 45.094 114.137 46.691 113.688 48.242C117.887 46.891 122.281 46.191 126.883 46.242C126.93 45.793 127.031 45.344 127.082 44.891L127.082 44.891Z"  />
+    <path fill="#98bf00" d="M132.328 51.488C131.48 51.391 130.68 51.289 129.828 51.238C125.23 50.941 120.832 51.391 116.637 52.539C111.738 53.887 107.141 56.289 102.789 59.688C98.4414 63.035 95.043 66.934 92.5469 71.3828C90.3945 75.1289 88.9453 79.2773 88.0977 83.8281C92.4453 84.5742 96.4453 85.8242 100.141 87.6758C100.391 85.875 100.742 84.1758 101.242 82.5781C102.891 77.4297 105.941 73.082 110.488 69.5312C115.035 65.984 119.984 64.035 125.434 63.684C127.18 63.586 128.93 63.633 130.781 63.883C130.828 63.883 130.879 63.883 130.93 63.883C138.375 64.836 144.426 68.332 149.074 74.2812C153.77 80.2266 155.668 86.9766 154.719 94.5234C153.77 102.07 150.32 108.168 144.375 112.863C138.426 117.512 131.68 119.363 124.23 118.461C125.082 122.512 125.332 126.758 125.031 131.156C134.977 131.809 143.973 128.957 152.02 122.711C160.719 115.914 165.766 107.016 167.113 96.0703C168.465 85.125 165.715 75.2812 158.918 66.582C152.621 58.535 144.574 53.637 134.777 51.891C133.93 51.738 133.129 51.59 132.328 51.488L132.328 51.488Z"  />
+    <path fill="#000000" d="M128.93 78.7266C125.48 78.3281 122.434 79.1797 119.684 81.3281C116.934 83.4766 115.387 86.2266 114.984 89.625C114.535 93.0742 115.387 96.1211 117.535 98.8711C119.684 101.621 122.434 103.168 125.883 103.57C129.281 104.019 132.328 103.168 135.078 101.019C137.828 98.8711 139.375 96.1211 139.824 92.6719C140.227 89.2734 139.375 86.2266 137.227 83.4766C135.078 80.7266 132.328 79.1797 128.93 78.7266L128.93 78.7266Z"  />
+    <path fill="#98bf00" d="M12.8281 73.6289C13.7773 66.082 17.2266 59.938 23.2227 55.289C29.1719 50.641 35.8672 48.742 43.3164 49.691C42.4648 45.641 42.1641 41.395 42.5156 36.996C32.5703 36.344 23.5742 39.145 15.5273 45.441C6.77734 52.238 1.78125 61.137 0.433594 72.082C-0.917969 83.0273 1.78125 92.8242 8.62891 101.57C14.875 109.617 22.9219 114.516 32.7695 116.262C33.5703 116.414 34.3672 116.512 35.2188 116.664C36.0664 116.762 36.8672 116.863 37.7188 116.914C42.3164 117.215 46.7148 116.762 50.9102 115.613C55.7578 114.215 60.4062 111.816 64.7578 108.465C69.0547 105.066 72.4531 101.168 75.0039 96.7695C77.1523 93.0234 78.6016 88.875 79.4492 84.3281C75.1016 83.5781 71.1055 82.2773 67.4062 80.4766C67.1563 82.2266 66.8047 83.9258 66.3047 85.5742C64.6562 90.7227 61.6055 95.0703 57.0586 98.6211C52.5117 102.168 47.5625 104.117 42.1641 104.469C40.4141 104.566 38.6172 104.519 36.7656 104.269C36.7188 104.269 36.668 104.269 36.6172 104.219C29.1719 103.269 23.1211 99.8203 18.4727 93.8711C13.7773 87.875 11.8789 81.1289 12.8281 73.6289L12.8281 73.6289Z"  />
+    <path fill="#000000" d="M32.4688 67.133C29.7188 69.2305 28.1719 72.0312 27.7227 75.4805C27.3203 78.8281 28.1719 81.8789 30.3203 84.625C32.418 87.375 35.168 88.9727 38.6172 89.4258C42.0664 89.7734 45.1133 88.9258 47.8633 86.8242C50.5625 84.6758 52.1094 81.8789 52.5625 78.5273C53.0117 75.0781 52.1602 71.9805 50.0117 69.2812C47.8633 66.535 45.1133 64.984 41.6641 64.586C38.2148 64.133 35.168 64.984 32.4688 67.133L32.4688 67.133Z"  />
+    <path fill="#000000" d="M97.293 32.348C95.1445 29.598 92.3438 28.047 88.9453 27.648C85.4961 27.199 82.4492 28.047 79.75 30.199C77 32.297 75.4023 35.098 75.0039 38.543C74.5508 41.941 75.4531 44.992 77.6016 47.742C79.6992 50.441 82.4492 52.039 85.8984 52.488C89.2969 52.84 92.3438 51.988 95.0938 49.891C97.8438 47.742 99.3906 44.941 99.8438 41.594C100.242 38.145 99.3906 35.047 97.293 32.348L97.293 32.348Z"  />
+    <path fill="#98bf00" d="M85.0469 88.4258C84.5977 88.375 84.1484 88.3242 83.6992 88.2734C82.5977 92.7227 80.8984 96.8711 78.5508 100.621C80.1016 100.519 81.6992 100.57 83.3477 100.769C83.3984 100.769 83.4492 100.769 83.5 100.82C85.3477 101.019 87.0977 101.371 88.7969 101.918C93.9453 103.57 98.293 106.668 101.84 111.215C105.391 115.715 107.289 120.66 107.641 126.109C107.738 127.859 107.688 129.609 107.438 131.457C107.438 131.508 107.438 131.559 107.438 131.656C106.488 139.106 103.039 145.152 97.0938 149.801C91.0938 154.449 84.3477 156.348 76.8008 155.398C69.2539 154.449 63.1563 151 58.5078 145.051C53.8086 139.055 51.9102 132.309 52.8594 124.762C53.0625 123.062 53.4102 121.461 53.9102 119.91C49.6641 121.262 45.2656 121.91 40.6641 121.91C40.6172 122.359 40.5156 122.812 40.4648 123.262C39.1172 134.207 41.8164 144.004 48.6641 152.75C55.4609 161.445 64.3555 166.492 75.3008 167.844C86.2461 169.191 96.043 166.445 104.789 159.645C112.836 153.348 117.734 145.301 119.484 135.457C119.633 134.656 119.734 133.856 119.883 133.008C119.934 132.156 120.035 131.359 120.082 130.559C120.383 125.91 119.934 121.512 118.785 117.363C117.434 112.465 115.035 107.867 111.688 103.519C108.289 99.1719 104.391 95.7227 99.9922 93.2227C96.1953 91.0742 92.0469 89.625 87.4961 88.8242C86.6992 88.6758 85.8984 88.5234 85.0469 88.4258L85.0469 88.4258Z"  />
+    <path fill="#000000" d="M89.9961 120.41C87.8477 117.664 85.0977 116.113 81.6484 115.664C78.1992 115.266 75.1523 116.113 72.4531 118.262C69.7031 120.41 68.1562 123.16 67.7031 126.559C67.2539 130.008 68.1562 133.059 70.3047 135.805C72.4024 138.555 75.1523 140.106 78.6016 140.504C82.0508 140.953 85.0977 140.106 87.8477 137.953C90.5469 135.805 92.0938 133.059 92.5469 129.609C92.9453 126.211 92.0938 123.16 89.9961 120.41L89.9961 120.41Z"  />
+  </g>
+</svg>