diff options
Diffstat (limited to 'doc/talks/2023-01-18-tocatta/assets')
61 files changed, 18674 insertions, 0 deletions
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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" + 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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> diff --git a/doc/talks/2023-01-18-tocatta/assets/lattice5.svg b/doc/talks/2023-01-18-tocatta/assets/lattice5.svg new file mode 100644 index 00000000..bc6b7195 --- /dev/null +++ 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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> diff --git a/doc/talks/2023-01-18-tocatta/assets/lattice8.svg b/doc/talks/2023-01-18-tocatta/assets/lattice8.svg new file mode 100644 index 00000000..c94a69b2 --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/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 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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" + 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style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)" + d="M 212.4544,61.655656 177.46016,44.716889" + id="path1300-2-6-9" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)" + d="M 118.34198,34.227412 153.33622,17.288645" + id="path1300-0-7-5" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)" + d="M 212.4544,34.227412 177.46016,17.288645" + id="path1300-2-6-9-0" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)" + d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)" + d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-9" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)" + d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-6" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)" + d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-6-9" + sodipodi:nodetypes="cc" /> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663" + cx="147.35568" + cy="95.24971" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3" + cx="176.97627" + cy="68.155472" + r="2.7302806" /> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1" + cx="18.004833" + cy="39.402473" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0" + cx="18.004833" + cy="30.371933" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6" + cx="18.004833" + cy="21.341394" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217" + id="text3707"><tspan + sodipodi:role="line" + id="tspan3705" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217">$write(\{a\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637" + id="text3750"><tspan + sodipodi:role="line" + id="tspan3748" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087" + id="text3750-3"><tspan + sodipodi:role="line" + id="tspan3748-2" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523" + id="text3750-0"><tspan + sodipodi:role="line" + id="tspan3748-6" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0-6" + cx="174.36296" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125" + id="text3750-9-1"><tspan + sodipodi:role="line" + id="tspan3748-3-8" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125">$\to \{\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403" + id="text3707-5-3-7"><tspan + sodipodi:role="line" + id="tspan3705-4-6-5" + style="fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583" + x="134.97845" + y="132.58472" + id="text3899"><tspan + sodipodi:role="line" + id="tspan3897" + style="stroke-width:0.264583" + x="134.97845" + y="132.58472">;</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="169.92604" + y="146.3129" + id="text4280-6-7"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="169.92604" + y="146.3129" + id="tspan2630-9">return $\{b\}$</tspan></text> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7-2" + cx="174.36296" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="179.81555" + y="136.59073" + id="text3750-3-6-0"><tspan + sodipodi:role="line" + id="tspan3748-2-0-2" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="136.59073">$\to \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:end;text-anchor:end;fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="135.53111" + id="text9043"><tspan + sodipodi:role="line" + id="tspan9041" + style="fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="135.53111">${\Large\textbf{??!}}$~~~~~</tspan><tspan + sodipodi:role="line" + style="fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="146.11446" + id="tspan9372">$\{a\} \not\sqsubseteq \{b\}$</tspan></text> + </g> +</svg> 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 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="1000" + height="600" + viewBox="0 0 264.58333 158.75" + version="1.1" + id="svg5" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="latticeB_2.svg" + xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" + xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" + xmlns="http://www.w3.org/2000/svg" + xmlns:svg="http://www.w3.org/2000/svg"> + <sodipodi:namedview + id="namedview7" + pagecolor="#ffffff" + bordercolor="#666666" + borderopacity="1.0" + inkscape:showpageshadow="2" + 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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + </g> +</svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg new file mode 100644 index 00000000..154c0b7d --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg @@ -0,0 +1,654 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape 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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637" + id="text3750"><tspan + sodipodi:role="line" + id="tspan3748" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087" + id="text3750-3"><tspan + sodipodi:role="line" + id="tspan3748-2" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523" + id="text3750-0"><tspan + sodipodi:role="line" + id="tspan3748-6" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <text + xml:space="preserve" + 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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" + 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style="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 + 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style="fill: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" + 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