diff options
Diffstat (limited to 'doc/talks/2023-01-18-tocatta')
14 files changed, 4269 insertions, 349 deletions
diff --git a/doc/talks/2023-01-18-tocatta/Makefile b/doc/talks/2023-01-18-tocatta/Makefile index a1f76e15..554f7b97 100644 --- a/doc/talks/2023-01-18-tocatta/Makefile +++ b/doc/talks/2023-01-18-tocatta/Makefile @@ -12,10 +12,16 @@ ASSETS=assets/consistent_hashing_1.pdf \ assets/lattice6.pdf_tex \ assets/lattice7.pdf_tex \ assets/lattice8.pdf_tex \ - assets/lattice9.pdf_tex \ - assets/latticeA.pdf_tex \ - assets/latticeB.pdf_tex \ - assets/latticeC.pdf_tex \ + assets/latticeB_1.pdf_tex \ + assets/latticeB_2.pdf_tex \ + assets/latticeB_3.pdf_tex \ + assets/latticeB_4.pdf_tex \ + assets/latticeB_5.pdf_tex \ + assets/latticeB_6.pdf_tex \ + assets/latticeB_7.pdf_tex \ + assets/latticeB_8.pdf_tex \ + assets/latticeB_9.pdf_tex \ + assets/latticeB_10.pdf_tex \ assets/deuxfleurs.pdf talk.pdf: talk.tex $(ASSETS) diff --git a/doc/talks/2023-01-18-tocatta/assets/lattice8.svg b/doc/talks/2023-01-18-tocatta/assets/lattice8.svg index 3bada791..c94a69b2 100644 --- a/doc/talks/2023-01-18-tocatta/assets/lattice8.svg +++ b/doc/talks/2023-01-18-tocatta/assets/lattice8.svg @@ -25,8 +25,8 @@ inkscape:document-units="mm" showgrid="false" inkscape:zoom="1.4734708" - inkscape:cx="451.65469" - inkscape:cy="272.14655" + inkscape:cx="399.39712" + inkscape:cy="248.39311" inkscape:window-width="1920" inkscape:window-height="999" inkscape:window-x="0" @@ -433,8 +433,8 @@ <circle style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" id="path3663" - cx="147.35568" - cy="95.24971" + cx="132.33408" + cy="68.007973" r="2.7302806" /> <circle style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" @@ -480,6 +480,17 @@ <text xml:space="preserve" style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.261436" + id="text3707-1"><tspan + sodipodi:role="line" + id="tspan3705-5" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.261436">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" x="23.457415" y="24.042637" id="text3750"><tspan @@ -501,15 +512,32 @@ y="33.02087">$\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/latticeB_1.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg new file mode 100644 index 00000000..92232a1b --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_1.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_1.svg" + xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" + xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" + xmlns="http://www.w3.org/2000/svg" + xmlns:svg="http://www.w3.org/2000/svg"> + 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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)" + d="M 177.46016,90.367682 212.4544,73.428915" + id="path1300-2" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)" + d="M 153.33622,61.655656 118.34198,44.716889" + id="path1300-0" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)" + d="M 177.46016,61.655656 212.4544,44.716889" + id="path1300-2-6" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)" + d="M 118.34198,61.655656 153.33622,44.716889" + id="path1300-0-7" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)" + d="M 212.4544,61.655656 177.46016,44.716889" + id="path1300-2-6-9" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)" + d="M 118.34198,34.227412 153.33622,17.288645" + id="path1300-0-7-5" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)" + d="M 212.4544,34.227412 177.46016,17.288645" + id="path1300-2-6-9-0" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)" + d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)" + d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-9" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)" + d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-6" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)" + d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-6-9" + sodipodi:nodetypes="cc" /> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663" + cx="147.35568" + cy="95.24971" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3" + cx="176.97627" + cy="68.155472" + r="2.7302806" /> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1" + cx="18.004833" + cy="39.402473" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0" + cx="18.004833" + cy="30.371933" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6" + cx="18.004833" + cy="21.341394" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217" + id="text3707"><tspan + sodipodi:role="line" + id="tspan3705" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217">$write(\{a\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637" + id="text3750"><tspan + sodipodi:role="line" + id="tspan3748" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087" + id="text3750-3"><tspan + sodipodi:role="line" + id="tspan3748-2" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523" + id="text3750-0"><tspan + sodipodi:role="line" + id="tspan3748-6" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0-6" + cx="174.36296" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125" + id="text3750-9-1"><tspan + sodipodi:role="line" + id="tspan3748-3-8" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125">$\to \{\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403" + id="text3707-5-3-7"><tspan + sodipodi:role="line" + id="tspan3705-4-6-5" + style="fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583" + x="134.97845" + y="132.58472" + id="text3899"><tspan + sodipodi:role="line" + id="tspan3897" + style="stroke-width:0.264583" + x="134.97845" + y="132.58472">;</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="169.92604" + y="146.3129" + id="text4280-6-7"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="169.92604" + y="146.3129" + id="tspan2630-9">return $\{b\}$</tspan></text> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7-2" + cx="174.36296" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="179.81555" + y="136.59073" + id="text3750-3-6-0"><tspan + sodipodi:role="line" + id="tspan3748-2-0-2" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="136.59073">$\to \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:end;text-anchor:end;fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="135.53111" + id="text9043"><tspan + sodipodi:role="line" + id="tspan9041" + style="fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="135.53111">${\Large\textbf{??!}}$~~~~~</tspan><tspan + sodipodi:role="line" + style="fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="146.11446" + id="tspan9372">$\{a\} \not\sqsubseteq \{b\}$</tspan></text> + </g> +</svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeC.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg index c815af94..c07cba2b 100644 --- a/doc/talks/2023-01-18-tocatta/assets/latticeC.svg +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg @@ -3,12 +3,12 @@ <svg width="1000" - height="400" - viewBox="0 0 264.58333 105.83333" + 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="latticeC.svg" + 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" @@ -25,8 +25,8 @@ inkscape:document-units="mm" showgrid="false" inkscape:zoom="1.4734708" - inkscape:cx="450.97602" - inkscape:cy="272.14655" + inkscape:cx="586.70996" + inkscape:cy="321.01077" inkscape:window-width="1920" inkscape:window-height="999" inkscape:window-x="0" @@ -270,10 +270,10 @@ id="layer1" sodipodi:insensitive="true"> <rect - style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000" + style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000" id="rect288" - width="209.84705" - height="104.42732" + width="262.58151" + height="156.82782" x="0.77790999" y="0.93738818" /> </g> @@ -283,24 +283,24 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442" id="text951"><tspan sodipodi:role="line" id="tspan949" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442">$\{\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893" id="text1005"><tspan sodipodi:role="line" id="tspan1003" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893">$\{a,b,c\}$</tspan></text> <g @@ -308,35 +308,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698" id="text1009"><tspan sodipodi:role="line" id="tspan1007" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698">$\{a\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166" id="text1009-3"><tspan sodipodi:role="line" id="tspan1007-6" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166">$\{b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698" id="text1009-7"><tspan sodipodi:role="line" id="tspan1007-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698">$\{c\}$</tspan></text> </g> @@ -346,35 +346,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526" id="text1117"><tspan sodipodi:role="line" id="tspan1115" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526">$\{a,c\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526" id="text1117-3"><tspan sodipodi:role="line" id="tspan1115-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526">$\{a,b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526" id="text1117-6"><tspan sodipodi:role="line" id="tspan1115-2" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526">$\{b,c\}$</tspan></text> </g> @@ -433,20 +433,20 @@ <circle style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" id="path3663" - cx="117.08417" - cy="38.792969" + 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="123.57843" - cy="39.100433" + cx="141.05479" + cy="95.316383" r="2.7302806" /> <circle style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" id="path3663-6" - cx="130.27556" - cy="39.441635" + cx="118.63729" + cy="67.630196" r="2.7302806" /> <circle style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" @@ -468,13 +468,13 @@ 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" + 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="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="6.9525447" y="13.702217">$write(\{a\})$:</tspan></text> <text @@ -490,48 +490,26 @@ 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" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text> + 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:#000000;stroke-width:0.264583" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="41.972523">$\sqsupseteq \{a\}$</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> - <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="102.48464" - id="text4280-8"><tspan - sodipodi:role="line" - id="tspan4278-8" - style="fill:#000000;stroke-width:0.264583" - x="14.395845" - y="102.48464">return OK</tspan></text> + 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" @@ -563,36 +541,36 @@ 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" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="75.619804">$\sqsupseteq \{b\}$</tspan></text> + 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" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text> + y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="93.54969">$\sqsupseteq \{b\} \to$ OK</tspan></text> + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> </g> </svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeA.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_3.svg index 400ccff8..198d1f5d 100644 --- a/doc/talks/2023-01-18-tocatta/assets/latticeA.svg +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_3.svg @@ -3,12 +3,12 @@ <svg width="1000" - height="400" - viewBox="0 0 264.58333 105.83333" + 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="latticeA.svg" + sodipodi:docname="latticeB_3.svg" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns="http://www.w3.org/2000/svg" @@ -24,9 +24,9 @@ inkscape:deskcolor="#d1d1d1" inkscape:document-units="mm" showgrid="false" - inkscape:zoom="1.4734708" - inkscape:cx="450.97602" - inkscape:cy="272.14655" + inkscape:zoom="2.0838024" + inkscape:cx="465.25525" + inkscape:cy="269.21938" inkscape:window-width="1920" inkscape:window-height="999" inkscape:window-x="0" @@ -270,10 +270,10 @@ id="layer1" sodipodi:insensitive="true"> <rect - style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000" + style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000" id="rect288" - width="209.84705" - height="104.42732" + width="262.58151" + height="156.82782" x="0.77790999" y="0.93738818" /> </g> @@ -283,24 +283,24 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442" id="text951"><tspan sodipodi:role="line" id="tspan949" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442">$\{\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893" id="text1005"><tspan sodipodi:role="line" id="tspan1003" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893">$\{a,b,c\}$</tspan></text> <g @@ -308,35 +308,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698" id="text1009"><tspan sodipodi:role="line" id="tspan1007" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698">$\{a\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166" id="text1009-3"><tspan sodipodi:role="line" id="tspan1007-6" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166">$\{b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698" id="text1009-7"><tspan sodipodi:role="line" id="tspan1007-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698">$\{c\}$</tspan></text> </g> @@ -346,35 +346,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526" id="text1117"><tspan sodipodi:role="line" id="tspan1115" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526">$\{a,c\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526" id="text1117-3"><tspan sodipodi:role="line" id="tspan1115-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526">$\{a,b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526" id="text1117-6"><tspan sodipodi:role="line" id="tspan1115-2" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526">$\{b,c\}$</tspan></text> </g> @@ -433,20 +433,14 @@ <circle style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" id="path3663" - cx="117.08417" - cy="38.792969" + 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" + 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" @@ -468,13 +462,13 @@ 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" + 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="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="6.9525447" y="13.702217">$write(\{a\})$:</tspan></text> <text @@ -490,37 +484,26 @@ 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" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text> + 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:#000000;stroke-width:0.264583" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="41.972523">$\sqsupseteq \{a\}$</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> + 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" @@ -563,25 +546,31 @@ 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" + 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:#999999;stroke-width:0.264583" + style="fill:#000000;stroke-width:0.264583" x="23.457415" - y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text> + 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:#000000;stroke-width:0.264583" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="93.54969">$\sqsupseteq \{b\} \to$ OK</tspan></text> + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> </g> </svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/lattice9.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_4.svg index 8b3c6585..c5f6148d 100644 --- a/doc/talks/2023-01-18-tocatta/assets/lattice9.svg +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_4.svg @@ -3,12 +3,12 @@ <svg width="1000" - height="400" - viewBox="0 0 264.58333 105.83333" + 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="lattice9.svg" + sodipodi:docname="latticeB_4.svg" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns="http://www.w3.org/2000/svg" @@ -24,9 +24,9 @@ inkscape:deskcolor="#d1d1d1" inkscape:document-units="mm" showgrid="false" - inkscape:zoom="1.4734708" - inkscape:cx="451.65469" - inkscape:cy="272.14655" + inkscape:zoom="1.0419012" + inkscape:cx="505.32622" + inkscape:cy="316.72869" inkscape:window-width="1920" inkscape:window-height="999" inkscape:window-x="0" @@ -270,10 +270,10 @@ id="layer1" sodipodi:insensitive="true"> <rect - style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000" + style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000" id="rect288" - width="209.84705" - height="104.42732" + width="262.58151" + height="156.82782" x="0.77790999" y="0.93738818" /> </g> @@ -283,24 +283,24 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442" id="text951"><tspan sodipodi:role="line" id="tspan949" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442">$\{\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893" id="text1005"><tspan sodipodi:role="line" id="tspan1003" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893">$\{a,b,c\}$</tspan></text> <g @@ -308,35 +308,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698" id="text1009"><tspan sodipodi:role="line" id="tspan1007" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698">$\{a\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166" id="text1009-3"><tspan sodipodi:role="line" id="tspan1007-6" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166">$\{b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698" id="text1009-7"><tspan sodipodi:role="line" id="tspan1007-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698">$\{c\}$</tspan></text> </g> @@ -346,35 +346,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526" id="text1117"><tspan sodipodi:role="line" id="tspan1115" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526">$\{a,c\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526" id="text1117-3"><tspan sodipodi:role="line" id="tspan1115-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526">$\{a,b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526" id="text1117-6"><tspan sodipodi:role="line" id="tspan1115-2" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526">$\{b,c\}$</tspan></text> </g> @@ -433,20 +433,14 @@ <circle style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" id="path3663" - cx="177.03145" - cy="67.991631" + 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" + 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" @@ -468,13 +462,13 @@ 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" + 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="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="6.9525447" y="13.702217">$write(\{a\})$:</tspan></text> <text @@ -490,15 +484,15 @@ 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" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text> + 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" @@ -510,17 +504,6 @@ 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> <circle style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" id="path3663-1-4" @@ -552,6 +535,17 @@ 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" @@ -563,25 +557,31 @@ 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" + 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:#999999;stroke-width:0.264583" + style="fill:#000000;stroke-width:0.264583" x="23.457415" - y="84.598038">$\not\sqsupseteq \{b\}$</tspan></text> + 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:#000000;stroke-width:0.264583" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="93.54969">$\sqsupseteq \{b\} \to$ OK</tspan></text> + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> </g> </svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_5.svg index 06725d75..c2b668be 100644 --- a/doc/talks/2023-01-18-tocatta/assets/latticeB.svg +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_5.svg @@ -3,12 +3,12 @@ <svg width="1000" - height="400" - viewBox="0 0 264.58333 105.83333" + 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.svg" + sodipodi:docname="latticeB_5.svg" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns="http://www.w3.org/2000/svg" @@ -25,8 +25,8 @@ inkscape:document-units="mm" showgrid="false" inkscape:zoom="1.4734708" - inkscape:cx="450.97602" - inkscape:cy="272.14655" + inkscape:cx="408.21983" + inkscape:cy="319.65343" inkscape:window-width="1920" inkscape:window-height="999" inkscape:window-x="0" @@ -270,10 +270,10 @@ id="layer1" sodipodi:insensitive="true"> <rect - style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000" + style="fill:#ffffff;stroke:none;stroke-width:0.999998;stop-color:#000000" id="rect288" - width="209.84705" - height="104.42732" + width="262.58151" + height="156.82782" x="0.77790999" y="0.93738818" /> </g> @@ -283,24 +283,24 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442" id="text951"><tspan sodipodi:role="line" id="tspan949" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="99.307442">$\{\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893" id="text1005"><tspan sodipodi:role="line" id="tspan1003" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="164.56372" y="13.151893">$\{a,b,c\}$</tspan></text> <g @@ -308,35 +308,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698" id="text1009"><tspan sodipodi:role="line" id="tspan1007" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="67.008698">$\{a\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166" id="text1009-3"><tspan sodipodi:role="line" id="tspan1007-6" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="67.017166">$\{b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698" id="text1009-7"><tspan sodipodi:role="line" id="tspan1007-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="67.008698">$\{c\}$</tspan></text> </g> @@ -346,35 +346,35 @@ 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" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526" id="text1117"><tspan sodipodi:role="line" id="tspan1115" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="112.90984" y="40.841526">$\{a,c\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526" id="text1117-3"><tspan sodipodi:role="line" id="tspan1115-5" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="49.27084" y="40.841526">$\{a,b\}$</tspan></text> <text xml:space="preserve" - style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526" id="text1117-6"><tspan sodipodi:role="line" id="tspan1115-2" - style="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="176.20593" y="40.841526">$\{b,c\}$</tspan></text> </g> @@ -433,20 +433,14 @@ <circle style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" id="path3663" - cx="117.08417" - cy="38.792969" + 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="123.57843" - cy="39.100433" - 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" + 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" @@ -468,13 +462,13 @@ 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" + 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="stroke-width:0.264583;fill:#000000" + style="fill:#000000;stroke-width:0.264583" x="6.9525447" y="13.702217">$write(\{a\})$:</tspan></text> <text @@ -490,48 +484,26 @@ 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" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text> + 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:#000000;stroke-width:0.264583" + 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:#000000;stroke-width:0.264583" + style="fill:#999999;stroke-width:0.264583" x="23.457415" - y="41.972523">$\sqsupseteq \{a\}$</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> - <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="102.48464" - id="text4280-8"><tspan - sodipodi:role="line" - id="tspan4278-8" - style="fill:#000000;stroke-width:0.264583" - x="14.395845" - y="102.48464">return OK</tspan></text> + 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" @@ -563,6 +535,17 @@ 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" @@ -585,14 +568,37 @@ 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:#000000;stroke-width:0.264583" + 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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217" + id="text3707"><tspan + sodipodi:role="line" + id="tspan3705" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217">$write(\{a\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637" + id="text3750"><tspan + sodipodi:role="line" + id="tspan3748" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087" + id="text3750-3"><tspan + sodipodi:role="line" + id="tspan3748-2" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523" + id="text3750-0"><tspan + sodipodi:role="line" + id="tspan3748-6" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + </g> +</svg> 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 (http://www.inkscape.org/) --> + +<svg + width="1000" + height="600" + viewBox="0 0 264.58333 158.75" + version="1.1" + id="svg5" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="latticeB_7.svg" + 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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> + <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 + 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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> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0-6" + cx="174.36296" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125" + id="text3750-9-1"><tspan + sodipodi:role="line" + id="tspan3748-3-8" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125">$\to \{\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403" + id="text3707-5-3-7"><tspan + sodipodi:role="line" + id="tspan3705-4-6-5" + style="fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583" + x="134.97845" + y="132.58472" + id="text3899"><tspan + sodipodi:role="line" + id="tspan3897" + style="stroke-width:0.264583" + x="134.97845" + y="132.58472">;</tspan></text> + </g> +</svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg new file mode 100644 index 00000000..b60f8afe --- 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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="164.56372" + y="13.151893" + id="text1005"><tspan + sodipodi:role="line" + id="tspan1003" + style="fill:#000000;stroke-width:0.264583" + x="164.56372" + y="13.151893">$\{a,b,c\}$</tspan></text> + <g + id="g1175" + transform="translate(51.996784,3.5774043)"> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="49.27084" + y="67.008698" + id="text1009"><tspan + sodipodi:role="line" + id="tspan1007" + style="fill:#000000;stroke-width:0.264583" + x="49.27084" + y="67.008698">$\{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="112.90984" + y="67.017166" + id="text1009-3"><tspan + sodipodi:role="line" + id="tspan1007-6" + style="fill:#000000;stroke-width:0.264583" + x="112.90984" + y="67.017166">$\{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="176.20593" + y="67.008698" + id="text1009-7"><tspan + sodipodi:role="line" + id="tspan1007-5" + style="fill:#000000;stroke-width:0.264583" + x="176.20593" + y="67.008698">$\{c\}$</tspan></text> + </g> + <g + id="g1183" + transform="translate(51.996784,1.0317046)" + style="fill:#000000"> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="112.90984" + y="40.841526" + id="text1117"><tspan + sodipodi:role="line" + id="tspan1115" + style="fill:#000000;stroke-width:0.264583" + x="112.90984" + y="40.841526">$\{a,c\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="49.27084" + y="40.841526" + id="text1117-3"><tspan + sodipodi:role="line" + id="tspan1115-5" + style="fill:#000000;stroke-width:0.264583" + x="49.27084" + y="40.841526">$\{a,b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="176.20593" + y="40.841526" + id="text1117-6"><tspan + sodipodi:role="line" + id="tspan1115-2" + style="fill:#000000;stroke-width:0.264583" + x="176.20593" + y="40.841526">$\{b,c\}$</tspan></text> + </g> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)" + d="M 153.33622,90.367682 118.34198,73.428915" + id="path1300" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)" + d="M 177.46016,90.367682 212.4544,73.428915" + id="path1300-2" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)" + d="M 153.33622,61.655656 118.34198,44.716889" + id="path1300-0" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)" + d="M 177.46016,61.655656 212.4544,44.716889" + id="path1300-2-6" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)" + d="M 118.34198,61.655656 153.33622,44.716889" + id="path1300-0-7" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)" + d="M 212.4544,61.655656 177.46016,44.716889" + id="path1300-2-6-9" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)" + d="M 118.34198,34.227412 153.33622,17.288645" + id="path1300-0-7-5" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)" + d="M 212.4544,34.227412 177.46016,17.288645" + id="path1300-2-6-9-0" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)" + d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)" + d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-9" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)" + d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-6" + sodipodi:nodetypes="cc" /> + <path + style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)" + d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874" + id="path1300-2-2-6-9" + sodipodi:nodetypes="cc" /> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663" + cx="147.35568" + cy="95.24971" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3" + cx="176.97627" + cy="68.155472" + r="2.7302806" /> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1" + cx="18.004833" + cy="39.402473" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0" + cx="18.004833" + cy="30.371933" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6" + cx="18.004833" + cy="21.341394" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217" + id="text3707"><tspan + sodipodi:role="line" + id="tspan3705" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217">$write(\{a\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637" + id="text3750"><tspan + sodipodi:role="line" + id="tspan3748" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087" + id="text3750-3"><tspan + sodipodi:role="line" + id="tspan3748-2" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523" + id="text3750-0"><tspan + sodipodi:role="line" + id="tspan3748-6" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ OK</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0-6" + cx="174.36296" + cy="124.91125" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125" + id="text3750-9-1"><tspan + sodipodi:role="line" + id="tspan3748-3-8" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125">$\to \{\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403" + id="text3707-5-3-7"><tspan + sodipodi:role="line" + id="tspan3705-4-6-5" + style="fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583" + x="134.97845" + y="132.58472" + id="text3899"><tspan + sodipodi:role="line" + id="tspan3897" + style="stroke-width:0.264583" + x="134.97845" + y="132.58472">;</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="169.92604" + y="146.3129" + id="text4280-6-7"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="169.92604" + y="146.3129" + id="tspan2630-9">return $\{b\}$</tspan></text> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7-2" + cx="174.36296" + cy="133.94179" + r="2.7302806" /> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583" + x="179.81555" + y="136.59073" + id="text3750-3-6-0"><tspan + sodipodi:role="line" + id="tspan3748-2-0-2" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="136.59073">$\to \{b\}$</tspan></text> + </g> +</svg> diff --git a/doc/talks/2023-01-18-tocatta/talk.pdf b/doc/talks/2023-01-18-tocatta/talk.pdf Binary files differindex e4acf75e..6a70fcd7 100644 --- a/doc/talks/2023-01-18-tocatta/talk.pdf +++ b/doc/talks/2023-01-18-tocatta/talk.pdf diff --git a/doc/talks/2023-01-18-tocatta/talk.tex b/doc/talks/2023-01-18-tocatta/talk.tex index db6d26ef..4c3e4eeb 100644 --- a/doc/talks/2023-01-18-tocatta/talk.tex +++ b/doc/talks/2023-01-18-tocatta/talk.tex @@ -49,7 +49,7 @@ \title{Garage} \subtitle{a lightweight and robust geo-distributed data storage system} -\author{Deuxfleurs Association} +\author{Alex Auvolat, Deuxfleurs Association} \date{Inria, 2023-01-18} \begin{document} @@ -59,7 +59,7 @@ \includegraphics[width=.3\linewidth]{../../sticker/Garage.pdf} \vspace{1em} - {\large\bf Deuxfleurs Association} + {\large\bf Alex Auvolat, Deuxfleurs Association} \vspace{1em} \url{https://garagehq.deuxfleurs.fr/} @@ -68,7 +68,7 @@ \end{frame} \begin{frame} - \frametitle{Who we are} + \frametitle{Who I am} \begin{columns}[t] \begin{column}{.2\textwidth} \centering @@ -82,21 +82,6 @@ ~ \end{column} \end{columns} - \vspace{1em} - - \begin{columns}[t] - \begin{column}{.2\textwidth} - ~ - \end{column} - \begin{column}{.6\textwidth} - \textbf{Quentin Dufour}\\ - PhD; co-founder of Deuxfleurs - \end{column} - \begin{column}{.2\textwidth} - \centering - \adjincludegraphics[width=.5\linewidth, valign=t]{assets/quentin.jpg} - \end{column} - \end{columns} \vspace{2em} \begin{columns}[t] @@ -546,7 +531,7 @@ \vspace{1em} - \textbf{CRDTs only}\\(conflict-free replicated data types) + \textbf{Limited objects such as CRDTs}\\(conflict-free replicated data types) \vspace{1em} Part of the complexity is \textbf{reported to the consumer of the API}\\~ @@ -648,6 +633,13 @@ \end{frame} \begin{frame} + \frametitle{Performance gains in practice} + \begin{center} + \includegraphics[width=.8\linewidth]{assets/endpoint-latency-dc.png} + \end{center} +\end{frame} + +\begin{frame} \frametitle{What can we implement without consensus?} \begin{itemize} \item Any \textbf{conflict-free replicated data type} (CRDT) @@ -664,7 +656,7 @@ \end{frame} \begin{frame} - \frametitle{Understanding CRDTs and quorums} + \frametitle{CRDTs and quorums: read-after-write consistency} \begin{figure} \centering \def\svgwidth{.8\textwidth} @@ -676,15 +668,11 @@ \only<6>{\import{assets/}{lattice6.pdf_tex}}% \only<7>{\import{assets/}{lattice7.pdf_tex}}% \only<8>{\import{assets/}{lattice8.pdf_tex}}% - \only<9>{\import{assets/}{lattice9.pdf_tex}}% - \only<10>{\import{assets/}{latticeA.pdf_tex}}% - \only<11>{\import{assets/}{latticeB.pdf_tex}}% - \only<12>{\import{assets/}{latticeC.pdf_tex}}% \end{figure} \end{frame} \begin{frame} - \frametitle{Read-after-write consistency:} + \frametitle{CRDTs and quorums: read-after-write consistency} \textbf{Property:} If node $A$ did an operation $write(x)$ and received an OK response,\\ \hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received OK,\\ \hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$. @@ -718,7 +706,25 @@ \end{frame} \begin{frame} - \frametitle{Monotonical read consistency:} + \frametitle{CRDTs and quorums: monotonic-reads consistency} + \begin{figure} + \centering + \def\svgwidth{.8\textwidth} + \only<1>{\import{assets/}{latticeB_1.pdf_tex}}% + \only<2>{\import{assets/}{latticeB_2.pdf_tex}}% + \only<3>{\import{assets/}{latticeB_3.pdf_tex}}% + \only<4>{\import{assets/}{latticeB_4.pdf_tex}}% + \only<5>{\import{assets/}{latticeB_5.pdf_tex}}% + \only<6>{\import{assets/}{latticeB_6.pdf_tex}}% + \only<7>{\import{assets/}{latticeB_7.pdf_tex}}% + \only<8>{\import{assets/}{latticeB_8.pdf_tex}}% + \only<9>{\import{assets/}{latticeB_9.pdf_tex}}% + \only<10>{\import{assets/}{latticeB_10.pdf_tex}}% + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{CRDTs and quorums: monotonic-reads consistency} \textbf{Property:} If node $A$ did an operation $read()$ and received $x$ as a response,\\ \hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received $x$,\\ \hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$. @@ -735,14 +741,8 @@ \end{enumerate} \vspace{1em} - This makes reads slower in some cases, and is \textbf{not implemented in Garage}. -\end{frame} -\begin{frame} - \frametitle{Performance gains in practice} - \begin{center} - \includegraphics[width=.8\linewidth]{assets/endpoint-latency-dc.png} - \end{center} + This makes reads slower in some cases, and is \textbf{not implemented in Garage}. \end{frame} \begin{frame} |
