From cbb522e17942797ea1f0fd972225b6945a775368 Mon Sep 17 00:00:00 2001
From: Alex Auvolat <alex@adnab.me>
Date: Fri, 13 Jan 2023 12:33:27 +0100
Subject: Different lattice figures

---
 doc/talks/2023-01-18-tocatta/assets/lattice8.svg   | 112 ++--
 doc/talks/2023-01-18-tocatta/assets/lattice9.svg   | 587 -----------------
 doc/talks/2023-01-18-tocatta/assets/latticeA.svg   | 587 -----------------
 doc/talks/2023-01-18-tocatta/assets/latticeB.svg   | 598 -----------------
 doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg | 576 +++++++++++++++++
 .../2023-01-18-tocatta/assets/latticeB_10.svg      | 715 +++++++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg | 576 +++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_3.svg | 576 +++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_4.svg | 587 +++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_5.svg | 604 +++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_6.svg | 632 ++++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg | 654 +++++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_8.svg | 671 +++++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg | 699 ++++++++++++++++++++
 doc/talks/2023-01-18-tocatta/assets/latticeC.svg   | 598 -----------------
 15 files changed, 6343 insertions(+), 2429 deletions(-)
 delete mode 100644 doc/talks/2023-01-18-tocatta/assets/lattice9.svg
 delete mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeA.svg
 delete mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_10.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_3.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_4.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_5.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_6.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_8.svg
 create mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg
 delete mode 100644 doc/talks/2023-01-18-tocatta/assets/latticeC.svg

(limited to 'doc/talks/2023-01-18-tocatta/assets')

diff --git a/doc/talks/2023-01-18-tocatta/assets/lattice8.svg b/doc/talks/2023-01-18-tocatta/assets/lattice8.svg
index 3bada791..c94a69b2 100644
--- a/doc/talks/2023-01-18-tocatta/assets/lattice8.svg
+++ b/doc/talks/2023-01-18-tocatta/assets/lattice8.svg
@@ -25,8 +25,8 @@
      inkscape:document-units="mm"
      showgrid="false"
      inkscape:zoom="1.4734708"
-     inkscape:cx="451.65469"
-     inkscape:cy="272.14655"
+     inkscape:cx="399.39712"
+     inkscape:cy="248.39311"
      inkscape:window-width="1920"
      inkscape:window-height="999"
      inkscape:window-x="0"
@@ -433,8 +433,8 @@
     <circle
        style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
        id="path3663"
-       cx="147.35568"
-       cy="95.24971"
+       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"
@@ -477,6 +477,17 @@
          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"
@@ -501,15 +512,32 @@
          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"
+       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:#999999;stroke-width:0.264583"
+         style="fill:#000000;stroke-width:0.264583"
          x="23.457415"
-         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+         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"
@@ -521,67 +549,33 @@
          style="fill:#000000;stroke-width:0.264583"
          x="14.395845"
          y="52.022549">return OK</tspan></text>
-    <circle
-       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
-       id="path3663-1-4"
-       cx="18.004833"
-       cy="90.979645"
-       r="2.7302806" />
-    <circle
-       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
-       id="path3663-3-0-5"
-       cx="18.004833"
-       cy="81.949104"
-       r="2.7302806" />
-    <circle
-       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
-       id="path3663-6-6-2"
-       cx="18.004833"
-       cy="72.918564"
-       r="2.7302806" />
     <text
        xml:space="preserve"
        style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
-       x="6.9525447"
-       y="65.279381"
-       id="text3707-5"><tspan
+       x="14.395845"
+       y="92.005798"
+       id="text4280-3"><tspan
          sodipodi:role="line"
-         id="tspan3705-4"
+         id="tspan4278-7"
          style="fill:#000000;stroke-width:0.264583"
-         x="6.9525447"
-         y="65.279381">$write(\{b\})$:</tspan></text>
-    <text
-       xml:space="preserve"
-       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
-       x="23.457415"
-       y="75.619804"
-       id="text3750-7"><tspan
-         sodipodi:role="line"
-         id="tspan3748-4"
-         style="fill:#999999;stroke-width:0.264583"
-         x="23.457415"
-         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
-    <text
-       xml:space="preserve"
-       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
-       x="23.457415"
-       y="84.598038"
-       id="text3750-3-4"><tspan
-         sodipodi:role="line"
-         id="tspan3748-2-3"
-         style="fill:#999999;stroke-width:0.264583"
-         x="23.457415"
-         y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text>
+         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:#999999;stroke-width:0.264583"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
        x="23.457415"
-       y="93.54969"
-       id="text3750-0-0"><tspan
+       y="83.577797"
+       id="text3750-0-6"><tspan
          sodipodi:role="line"
-         id="tspan3748-6-7"
-         style="fill:#999999;stroke-width:0.264583"
+         id="tspan3748-6-9"
+         style="fill:#000000;stroke-width:0.264583"
          x="23.457415"
-         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+         y="83.577797">$\to \{a\}$</tspan></text>
   </g>
 </svg>
diff --git a/doc/talks/2023-01-18-tocatta/assets/lattice9.svg b/doc/talks/2023-01-18-tocatta/assets/lattice9.svg
deleted file mode 100644
index 8b3c6585..00000000
--- a/doc/talks/2023-01-18-tocatta/assets/lattice9.svg
+++ /dev/null
@@ -1,587 +0,0 @@
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-   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
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-   xmlns:svg="http://www.w3.org/2000/svg">
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index 400ccff8..00000000
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+       id="path1300-2-2-6"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
+       d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
+       id="path1300-2-2-6-9"
+       sodipodi:nodetypes="cc" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663"
+       cx="147.35568"
+       cy="95.24971"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3"
+       cx="176.97627"
+       cy="68.155472"
+       r="2.7302806" />
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1"
+       cx="18.004833"
+       cy="39.402473"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0"
+       cx="18.004833"
+       cy="30.371933"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6"
+       cx="18.004833"
+       cy="21.341394"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="13.702217"
+       id="text3707"><tspan
+         sodipodi:role="line"
+         id="tspan3705"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="13.702217">$write(\{a\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="24.042637"
+       id="text3750"><tspan
+         sodipodi:role="line"
+         id="tspan3748"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="33.02087"
+       id="text3750-3"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="41.972523"
+       id="text3750-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
+       cx="18.004833"
+       cy="90.979645"
+       r="2.7302806" />
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-5"
+       cx="18.004833"
+       cy="81.949104"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-2"
+       cx="18.004833"
+       cy="72.918564"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="6.9525447"
+       y="65.279381"
+       id="text3707-5"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4"
+         style="fill:#000000;stroke-width:0.264583"
+         x="6.9525447"
+         y="65.279381">$write(\{b\})$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="59.340172"
+       y="118.94403"
+       id="text3707-5-3"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="75.619804"
+       id="text3750-7"><tspan
+         sodipodi:role="line"
+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="23.457415"
+       y="84.598038"
+       id="text3750-3-4"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6"
+       cx="118.63729"
+       cy="67.630196"
+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="62.764446"
+       y="146.3129"
+       id="text4280-6"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="62.764446"
+         y="146.3129"
+         id="tspan2630">return $\{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7"
+       cx="67.201363"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="136.59073"
+       id="text3750-3-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="136.59073">$\to \{\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0-6"
+       cx="174.36296"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="127.6125"
+       id="text3750-9-1"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3-8"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="127.6125">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="162.7999"
+       y="118.94403"
+       id="text3707-5-3-7"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="162.7999"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
+       x="134.97845"
+       y="132.58472"
+       id="text3899"><tspan
+         sodipodi:role="line"
+         id="tspan3897"
+         style="stroke-width:0.264583"
+         x="134.97845"
+         y="132.58472">;</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="169.92604"
+       y="146.3129"
+       id="text4280-6-7"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="169.92604"
+         y="146.3129"
+         id="tspan2630-9">return $\{b\}$</tspan></text>
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7-2"
+       cx="174.36296"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="136.59073"
+       id="text3750-3-6-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="136.59073">$\to \{b\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:end;text-anchor:end;fill:#ff0000;stroke-width:0.264583"
+       x="259.75"
+       y="135.53111"
+       id="text9043"><tspan
+         sodipodi:role="line"
+         id="tspan9041"
+         style="fill:#ff0000;stroke-width:0.264583"
+         x="259.75"
+         y="135.53111">${\Large\textbf{??!}}$~~~~~</tspan><tspan
+         sodipodi:role="line"
+         style="fill:#ff0000;stroke-width:0.264583"
+         x="259.75"
+         y="146.11446"
+         id="tspan9372">$\{a\} \not\sqsubseteq \{b\}$</tspan></text>
+  </g>
+</svg>
diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg
new file mode 100644
index 00000000..c07cba2b
--- /dev/null
+++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg
@@ -0,0 +1,576 @@
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index 00000000..c5f6148d
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diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_6.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_6.svg
new file mode 100644
index 00000000..980823fc
--- /dev/null
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+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
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+         sodipodi:role="line"
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+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
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+  </g>
+</svg>
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new file mode 100644
index 00000000..154c0b7d
--- /dev/null
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new file mode 100644
index 00000000..21766415
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new file mode 100644
index 00000000..b60f8afe
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+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
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+         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"
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+         id="tspan3748-2"
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+         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"
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+         sodipodi:role="line"
+         id="tspan3748-6"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-1-4"
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+    <circle
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+    <text
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+         sodipodi:role="line"
+         id="tspan3705-4-6"
+         style="fill:#000000;stroke-width:0.264583"
+         x="59.340172"
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+    <text
+       xml:space="preserve"
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+         id="tspan3748-4"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text>
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+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
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+         id="tspan3748-2-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="23.457415"
+         y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
+       x="23.457415"
+       y="93.54969"
+       id="text3750-0-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-6-7"
+         style="fill:#999999;stroke-width:0.264583"
+         x="23.457415"
+         y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text>
+    <circle
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+       id="path3663-6"
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+       r="2.7302806" />
+    <circle
+       style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0"
+       cx="67.201363"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="72.653946"
+       y="127.6125"
+       id="text3750-9"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="127.6125">$\to \{a\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
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+       id="text4280-6"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="62.764446"
+         y="146.3129"
+         id="tspan2630">return $\{a\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7"
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+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
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+       y="136.59073"
+       id="text3750-3-6"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0"
+         style="fill:#000000;stroke-width:0.264583"
+         x="72.653946"
+         y="136.59073">$\to \{\}$</tspan></text>
+    <circle
+       style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-6-6-0-6"
+       cx="174.36296"
+       cy="124.91125"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="127.6125"
+       id="text3750-9-1"><tspan
+         sodipodi:role="line"
+         id="tspan3748-3-8"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="127.6125">$\to \{\}$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="162.7999"
+       y="118.94403"
+       id="text3707-5-3-7"><tspan
+         sodipodi:role="line"
+         id="tspan3705-4-6-5"
+         style="fill:#000000;stroke-width:0.264583"
+         x="162.7999"
+         y="118.94403">$read()$:</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583"
+       x="134.97845"
+       y="132.58472"
+       id="text3899"><tspan
+         sodipodi:role="line"
+         id="tspan3897"
+         style="stroke-width:0.264583"
+         x="134.97845"
+         y="132.58472">;</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="169.92604"
+       y="146.3129"
+       id="text4280-6-7"><tspan
+         sodipodi:role="line"
+         style="fill:#000000;stroke-width:0.264583"
+         x="169.92604"
+         y="146.3129"
+         id="tspan2630-9">return $\{b\}$</tspan></text>
+    <circle
+       style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
+       id="path3663-3-0-7-2"
+       cx="174.36296"
+       cy="133.94179"
+       r="2.7302806" />
+    <text
+       xml:space="preserve"
+       style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
+       x="179.81555"
+       y="136.59073"
+       id="text3750-3-6-0"><tspan
+         sodipodi:role="line"
+         id="tspan3748-2-0-2"
+         style="fill:#000000;stroke-width:0.264583"
+         x="179.81555"
+         y="136.59073">$\to \{b\}$</tspan></text>
+  </g>
+</svg>
diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeC.svg b/doc/talks/2023-01-18-tocatta/assets/latticeC.svg
deleted file mode 100644
index c815af94..00000000
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-- 
cgit v1.2.3