fb59cab09f
* spot/twaalgos/emptiness.cc, spot/twaalgos/emptiness.hh: Here. * tests/python/ltsmin-dve.ipynb: Add a test. * NEWS: Mention the change.
1534 lines
103 KiB
Text
1534 lines
103 KiB
Text
{
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.5.3"
|
|
},
|
|
"name": ""
|
|
},
|
|
"nbformat": 3,
|
|
"nbformat_minor": 0,
|
|
"worksheets": [
|
|
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"import spot\n",
|
|
"import spot.ltsmin\n",
|
|
"# The following line causes the notebook to exit with 77 if divine is not \n",
|
|
"# installed, therefore skipping this test in the test suite.\n",
|
|
"spot.ltsmin.require('divine')\n",
|
|
"# This is notebook also tests the limitation of the number of states in the GraphViz output\n",
|
|
"spot.setup(max_states=10)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 1
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"There are two ways to load a DiVinE model: from a file or from a cell. \n",
|
|
"\n",
|
|
"Loading from a file\n",
|
|
"-------------------\n",
|
|
"\n",
|
|
"We will first start with the file version, however because this notebook should also be a self-contained test case, we start by writing a model into a file."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"!rm -f test1.dve"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 2
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%file test1.dve\n",
|
|
"int a = 0, b = 0;\n",
|
|
"\n",
|
|
"process P {\n",
|
|
" state x;\n",
|
|
" init x;\n",
|
|
"\n",
|
|
" trans\n",
|
|
" x -> x { guard a < 3 && b < 3; effect a = a + 1; },\n",
|
|
" x -> x { guard a < 3 && b < 3; effect b = b + 1; };\n",
|
|
"}\n",
|
|
"\n",
|
|
"process Q {\n",
|
|
" state wait, work;\n",
|
|
" init wait;\n",
|
|
" trans\n",
|
|
" wait -> work { guard b > 1; },\n",
|
|
" work -> wait { guard a > 1; };\n",
|
|
"}\n",
|
|
"\n",
|
|
"system async;"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Writing test1.dve\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 3
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The `spot.ltsmin.load` function compiles the model using the `ltlmin` interface and load it. This should work with DiVinE models if `divine --LTSmin` works, and with Promela models if `spins` is installed."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"m = spot.ltsmin.load('test1.dve')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 4
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Compiling the model creates all several kinds of files. The `test1.dve` file is converted into a C++ source code `test1.dve.cpp` which is then compiled into a shared library `test1.dve2c`. Becauce `spot.ltsmin.load()` has already loaded this shared library, all those files can be erased. If you do not erase the files, `spot.ltsmin.load()` will use the timestamps to decide whether the library should be recompiled or not everytime you load the library.\n",
|
|
"\n",
|
|
"For editing and loading DVE file from a notebook, it is a better to use the `%%dve` as shown next."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"!rm -f test1.dve test1.dve.cpp test1.dve2C"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 5
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Loading from a notebook cell\n",
|
|
"----------------------------\n",
|
|
"\n",
|
|
"The `%%dve` cell magic implements all of the above steps (saving the model into a temporary file, compiling it, loading it, erasing the temporary files). The variable name that should receive the model (here `m`) should be indicated on the first line, after `%dve`."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": true,
|
|
"input": [
|
|
"%%dve m\n",
|
|
"int a = 0, b = 0;\n",
|
|
"\n",
|
|
"process P {\n",
|
|
" state x;\n",
|
|
" init x;\n",
|
|
"\n",
|
|
" trans\n",
|
|
" x -> x { guard a < 3 && b < 3; effect a = a + 1; },\n",
|
|
" x -> x { guard a < 3 && b < 3; effect b = b + 1; };\n",
|
|
"}\n",
|
|
"\n",
|
|
"process Q {\n",
|
|
" state wait, work;\n",
|
|
" init wait;\n",
|
|
" trans\n",
|
|
" wait -> work { guard b > 1; },\n",
|
|
" work -> wait { guard a > 1; };\n",
|
|
"}\n",
|
|
"\n",
|
|
"system async;"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 6
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Working with an ltsmin model\n",
|
|
"----------------------------\n",
|
|
"\n",
|
|
"Printing an ltsmin model shows some information about the variables it contains and their types, however the `info()` methods provide the data in a map that is easier to work with."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"m"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 7,
|
|
"text": [
|
|
"ltsmin model with the following variables:\n",
|
|
" a: int\n",
|
|
" b: int\n",
|
|
" P: ['x']\n",
|
|
" Q: ['wait', 'work']"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 7
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"sorted(m.info().items())"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 8,
|
|
"text": [
|
|
"[('state_size', 4),\n",
|
|
" ('types', [('int', []), ('P', ['x']), ('Q', ['wait', 'work'])]),\n",
|
|
" ('variables', [('a', 0), ('b', 0), ('P', 1), ('Q', 2)])]"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 8
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To obtain a Kripke structure, call `kripke` and supply a list of atomic propositions to observe in the model."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"k = m.kripke([\"a<1\", \"b>2\"])\n",
|
|
"k"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 9,
|
|
"svg": [
|
|
"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
|
|
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
|
|
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
|
|
"<!-- Generated by graphviz version 2.38.0 (20140413.2041)\n",
|
|
" -->\n",
|
|
"<!-- Title: G Pages: 1 -->\n",
|
|
"<svg width=\"734pt\" height=\"218pt\"\n",
|
|
" viewBox=\"0.00 0.00 734.00 217.81\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
|
|
"<g id=\"graph0\" class=\"graph\" transform=\"scale(0.648748 0.648748) rotate(0) translate(4 331.74)\">\n",
|
|
"<title>G</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"none\" points=\"-4,4 -4,-331.74 1127.41,-331.74 1127.41,4 -4,4\"/>\n",
|
|
"<!-- I -->\n",
|
|
"<!-- 0 -->\n",
|
|
"<g id=\"node2\" class=\"node\"><title>0</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"150.137\" cy=\"-154.87\" rx=\"113.274\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"105.137\" y=\"-158.67\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=0, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"78.1371\" y=\"-143.67\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- I->0 -->\n",
|
|
"<g id=\"edge1\" class=\"edge\"><title>I->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1.10737,-154.87C2.31861,-154.87 13.6687,-154.87 29.5939,-154.87\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"36.6828,-154.87 29.6829,-158.02 33.1828,-154.87 29.6828,-154.87 29.6828,-154.87 29.6828,-154.87 33.1828,-154.87 29.6828,-151.72 36.6828,-154.87 36.6828,-154.87\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
|
"<g id=\"node3\" class=\"node\"><title>1</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"415.24\" cy=\"-190.87\" rx=\"115.931\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"370.24\" y=\"-194.67\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=0, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"341.24\" y=\"-179.67\" font-family=\"Lato\" font-size=\"14.00\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->1 -->\n",
|
|
"<g id=\"edge2\" class=\"edge\"><title>0->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M248.733,-168.224C268.01,-170.862 288.33,-173.642 307.88,-176.317\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"315.044,-177.297 307.682,-179.469 311.577,-176.823 308.109,-176.348 308.109,-176.348 308.109,-176.348 311.577,-176.823 308.536,-173.227 315.044,-177.297 315.044,-177.297\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g id=\"node4\" class=\"node\"><title>2</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"415.24\" cy=\"-118.87\" rx=\"113.274\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"370.24\" y=\"-122.67\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=1, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"343.24\" y=\"-107.67\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->2 -->\n",
|
|
"<g id=\"edge3\" class=\"edge\"><title>0->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M248.733,-141.516C268.617,-138.795 289.613,-135.923 309.727,-133.17\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"316.802,-132.202 310.293,-136.272 313.334,-132.677 309.866,-133.151 309.866,-133.151 309.866,-133.151 313.334,-132.677 309.439,-130.031 316.802,-132.202 316.802,-132.202\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 3 -->\n",
|
|
"<g id=\"node5\" class=\"node\"><title>3</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"683.171\" cy=\"-226.87\" rx=\"115.931\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"638.171\" y=\"-230.67\" font-family=\"Lato\" font-size=\"14.00\">a=2, b=0, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"609.171\" y=\"-215.67\" font-family=\"Lato\" font-size=\"14.00\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->3 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\"><title>1->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M515.641,-204.326C535.172,-206.97 555.737,-209.754 575.495,-212.429\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"582.447,-213.37 575.088,-215.553 578.979,-212.901 575.511,-212.431 575.511,-212.431 575.511,-212.431 578.979,-212.901 575.933,-209.31 582.447,-213.37 582.447,-213.37\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node6\" class=\"node\"><title>4</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"683.171\" cy=\"-154.87\" rx=\"115.931\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"638.171\" y=\"-158.67\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=1, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"609.171\" y=\"-143.67\" font-family=\"Lato\" font-size=\"14.00\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\"><title>1->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M515.641,-177.414C535.172,-174.77 555.737,-171.986 575.495,-169.311\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"582.447,-168.37 575.933,-172.431 578.979,-168.84 575.511,-169.309 575.511,-169.309 575.511,-169.309 578.979,-168.84 575.088,-166.188 582.447,-168.37 582.447,-168.37\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2->4 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\"><title>2->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M514.13,-132.122C534.134,-134.83 555.279,-137.692 575.57,-140.439\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"582.708,-141.405 575.349,-143.588 579.24,-140.936 575.772,-140.466 575.772,-140.466 575.772,-140.466 579.24,-140.936 576.194,-137.345 582.708,-141.405 582.708,-141.405\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node7\" class=\"node\"><title>5</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"683.171\" cy=\"-82.8701\" rx=\"113.274\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"638.171\" y=\"-86.6701\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=2, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"611.171\" y=\"-71.6701\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->5 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\"><title>2->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M514.13,-105.618C534.753,-102.826 556.589,-99.8704 577.453,-97.0461\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"584.488,-96.0937 577.974,-100.154 581.019,-96.5633 577.551,-97.0329 577.551,-97.0329 577.551,-97.0329 581.019,-96.5633 577.128,-93.9113 584.488,-96.0937 584.488,-96.0937\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"node8\" class=\"node\"><title>6</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"948.273\" cy=\"-282.87\" rx=\"113.274\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"903.273\" y=\"-286.67\" font-family=\"Lato\" font-size=\"14.00\">a=3, b=0, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"876.273\" y=\"-271.67\" font-family=\"Lato\" font-size=\"14.00\">!"a<1" & !"b>2" & dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->6 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\"><title>3->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M769.229,-244.974C797.049,-250.896 828.052,-257.494 856.29,-263.505\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"863.407,-265.019 855.904,-266.643 859.983,-264.291 856.56,-263.562 856.56,-263.562 856.56,-263.562 859.983,-264.291 857.216,-260.481 863.407,-265.019 863.407,-265.019\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node9\" class=\"node\"><title>7</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"948.273\" cy=\"-210.87\" rx=\"74.9067\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"903.273\" y=\"-214.67\" font-family=\"Lato\" font-size=\"14.00\">a=2, b=1, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"943.273\" y=\"-199.67\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->7 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\"><title>3->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M795.75,-220.085C819.635,-218.632 844.42,-217.125 866.855,-215.76\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"874.053,-215.323 867.257,-218.892 870.559,-215.535 867.066,-215.748 867.066,-215.748 867.066,-215.748 870.559,-215.535 866.874,-212.604 874.053,-215.323 874.053,-215.323\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\"><title>4->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M769.229,-172.974C803.85,-180.343 843.401,-188.761 876.419,-195.789\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"883.361,-197.267 875.859,-198.89 879.938,-196.538 876.515,-195.809 876.515,-195.809 876.515,-195.809 879.938,-196.538 877.17,-192.728 883.361,-197.267 883.361,-197.267\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node10\" class=\"node\"><title>8</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"948.273\" cy=\"-138.87\" rx=\"74.9067\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"903.273\" y=\"-142.67\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=2, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"943.273\" y=\"-127.67\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->8 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\"><title>4->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M795.75,-148.085C819.635,-146.632 844.42,-145.125 866.855,-143.76\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"874.053,-143.323 867.257,-146.892 870.559,-143.535 867.066,-143.748 867.066,-143.748 867.066,-143.748 870.559,-143.535 866.874,-140.604 874.053,-143.323 874.053,-143.323\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 5->8 -->\n",
|
|
"<g id=\"edge13\" class=\"edge\"><title>5->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M768.141,-100.743C802.961,-108.154 842.92,-116.659 876.251,-123.753\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"883.258,-125.245 875.756,-126.868 879.835,-124.516 876.411,-123.787 876.411,-123.787 876.411,-123.787 879.835,-124.516 877.067,-120.706 883.258,-125.245 883.258,-125.245\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u5 -->\n",
|
|
"<g id=\"node11\" class=\"node\"><title>u5</title>\n",
|
|
"<polygon fill=\"#ffffaa\" stroke=\"none\" points=\"961.273,-94.3701 935.273,-94.3701 935.273,-71.3701 961.273,-71.3701 961.273,-94.3701\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"948.273\" y=\"-79.1701\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->u5 -->\n",
|
|
"<g id=\"edge12\" class=\"edge\"><title>5->u5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\" d=\"M796.513,-82.8701C846.303,-82.8701 899.844,-82.8701 927.777,-82.8701\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"934.951,-82.8701 927.951,-86.0202 931.451,-82.8701 927.951,-82.8702 927.951,-82.8702 927.951,-82.8702 931.451,-82.8701 927.951,-79.7202 934.951,-82.8701 934.951,-82.8701\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node12\" class=\"node\"><title>9</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"948.273\" cy=\"-26.8701\" rx=\"74.9067\" ry=\"26.7407\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"903.273\" y=\"-30.6701\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=3, Q=0</text>\n",
|
|
"<text text-anchor=\"start\" x=\"943.273\" y=\"-15.6701\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->9 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\"><title>5->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M768.141,-64.9973C802.961,-57.5862 842.92,-49.081 876.251,-41.9869\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"883.258,-40.4954 877.067,-45.0337 879.835,-41.224 876.411,-41.9527 876.411,-41.9527 876.411,-41.9527 879.835,-41.224 875.756,-38.8717 883.258,-40.4954 883.258,-40.4954\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\"><title>6->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M918.017,-309.141C916.672,-319.298 926.758,-327.74 948.273,-327.74 964.41,-327.74 974.117,-322.991 977.395,-316.332\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"978.53,-309.141 980.55,-316.546 977.984,-312.598 977.439,-316.055 977.439,-316.055 977.439,-316.055 977.984,-312.598 974.327,-315.564 978.53,-309.141 978.53,-309.141\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u7 -->\n",
|
|
"<g id=\"node13\" class=\"node\"><title>u7</title>\n",
|
|
"<polygon fill=\"#ffffaa\" stroke=\"none\" points=\"1123.41,-222.37 1097.41,-222.37 1097.41,-199.37 1123.41,-199.37 1123.41,-222.37\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1110.41\" y=\"-207.17\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->u7 -->\n",
|
|
"<g id=\"edge16\" class=\"edge\"><title>7->u7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\" d=\"M1023.25,-210.87C1047.98,-210.87 1073.49,-210.87 1090.27,-210.87\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1097.33,-210.87 1090.33,-214.02 1093.83,-210.87 1090.33,-210.87 1090.33,-210.87 1090.33,-210.87 1093.83,-210.87 1090.33,-207.72 1097.33,-210.87 1097.33,-210.87\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u8 -->\n",
|
|
"<g id=\"node14\" class=\"node\"><title>u8</title>\n",
|
|
"<polygon fill=\"#ffffaa\" stroke=\"none\" points=\"1123.41,-150.37 1097.41,-150.37 1097.41,-127.37 1123.41,-127.37 1123.41,-150.37\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1110.41\" y=\"-135.17\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->u8 -->\n",
|
|
"<g id=\"edge17\" class=\"edge\"><title>8->u8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\" d=\"M1023.25,-138.87C1047.98,-138.87 1073.49,-138.87 1090.27,-138.87\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1097.33,-138.87 1090.33,-142.02 1093.83,-138.87 1090.33,-138.87 1090.33,-138.87 1090.33,-138.87 1093.83,-138.87 1090.33,-135.72 1097.33,-138.87 1097.33,-138.87\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u9 -->\n",
|
|
"<g id=\"node15\" class=\"node\"><title>u9</title>\n",
|
|
"<polygon fill=\"#ffffaa\" stroke=\"none\" points=\"1123.41,-38.3701 1097.41,-38.3701 1097.41,-15.3701 1123.41,-15.3701 1123.41,-38.3701\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1110.41\" y=\"-23.1701\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->u9 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\"><title>9->u9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\" d=\"M1023.25,-26.8701C1047.98,-26.8701 1073.49,-26.8701 1090.27,-26.8701\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1097.33,-26.8701 1090.33,-30.0202 1093.83,-26.8701 1090.33,-26.8702 1090.33,-26.8702 1090.33,-26.8702 1093.83,-26.8701 1090.33,-23.7202 1097.33,-26.8701 1097.33,-26.8701\"/>\n",
|
|
"</g>\n",
|
|
"</g>\n",
|
|
"</svg>\n"
|
|
],
|
|
"text": [
|
|
"<spot.impl.kripke; proxy of <Swig Object of type 'std::shared_ptr< spot::kripke > *' at 0x7f402430f9c0> >"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 9
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"k.show('.<15')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 10,
|
|
"svg": [
|
|
"<svg height=\"200pt\" viewBox=\"0.00 0.00 734.00 199.71\" width=\"734pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
|
|
"<g class=\"graph\" id=\"graph0\" transform=\"scale(0.524532 0.524532) rotate(0) translate(4 376.74)\">\n",
|
|
"<title>G</title>\n",
|
|
"<polygon fill=\"white\" points=\"-4,4 -4,-376.74 1395.34,-376.74 1395.34,4 -4,4\" stroke=\"none\"/>\n",
|
|
"<!-- I -->\n",
|
|
"<!-- 0 -->\n",
|
|
"<g class=\"node\" id=\"node2\"><title>0</title>\n",
|
|
"<ellipse cx=\"150.137\" cy=\"-183.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"105.137\" y=\"-187.67\">a=0, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"78.1371\" y=\"-172.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- I->0 -->\n",
|
|
"<g class=\"edge\" id=\"edge1\"><title>I->0</title>\n",
|
|
"<path d=\"M1.10737,-183.87C2.31861,-183.87 13.6687,-183.87 29.5939,-183.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"36.6828,-183.87 29.6829,-187.02 33.1828,-183.87 29.6828,-183.87 29.6828,-183.87 29.6828,-183.87 33.1828,-183.87 29.6828,-180.72 36.6828,-183.87 36.6828,-183.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
|
"<g class=\"node\" id=\"node3\"><title>1</title>\n",
|
|
"<ellipse cx=\"415.24\" cy=\"-219.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"370.24\" y=\"-223.67\">a=1, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"341.24\" y=\"-208.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->1 -->\n",
|
|
"<g class=\"edge\" id=\"edge2\"><title>0->1</title>\n",
|
|
"<path d=\"M248.733,-197.224C268.01,-199.862 288.33,-202.642 307.88,-205.317\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"315.044,-206.297 307.682,-208.469 311.577,-205.823 308.109,-205.348 308.109,-205.348 308.109,-205.348 311.577,-205.823 308.536,-202.227 315.044,-206.297 315.044,-206.297\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g class=\"node\" id=\"node4\"><title>2</title>\n",
|
|
"<ellipse cx=\"415.24\" cy=\"-147.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"370.24\" y=\"-151.67\">a=0, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"343.24\" y=\"-136.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->2 -->\n",
|
|
"<g class=\"edge\" id=\"edge3\"><title>0->2</title>\n",
|
|
"<path d=\"M248.733,-170.516C268.617,-167.795 289.613,-164.923 309.727,-162.17\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"316.802,-161.202 310.293,-165.272 313.334,-161.677 309.866,-162.151 309.866,-162.151 309.866,-162.151 313.334,-161.677 309.439,-159.031 316.802,-161.202 316.802,-161.202\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 3 -->\n",
|
|
"<g class=\"node\" id=\"node5\"><title>3</title>\n",
|
|
"<ellipse cx=\"683.171\" cy=\"-255.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"638.171\" y=\"-259.67\">a=2, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"609.171\" y=\"-244.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->3 -->\n",
|
|
"<g class=\"edge\" id=\"edge4\"><title>1->3</title>\n",
|
|
"<path d=\"M515.641,-233.326C535.172,-235.97 555.737,-238.754 575.495,-241.429\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"582.447,-242.37 575.088,-244.553 578.979,-241.901 575.511,-241.431 575.511,-241.431 575.511,-241.431 578.979,-241.901 575.933,-238.31 582.447,-242.37 582.447,-242.37\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g class=\"node\" id=\"node6\"><title>4</title>\n",
|
|
"<ellipse cx=\"683.171\" cy=\"-183.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"638.171\" y=\"-187.67\">a=1, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"609.171\" y=\"-172.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge5\"><title>1->4</title>\n",
|
|
"<path d=\"M515.641,-206.414C535.172,-203.77 555.737,-200.986 575.495,-198.311\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"582.447,-197.37 575.933,-201.431 578.979,-197.84 575.511,-198.309 575.511,-198.309 575.511,-198.309 578.979,-197.84 575.088,-195.188 582.447,-197.37 582.447,-197.37\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge6\"><title>2->4</title>\n",
|
|
"<path d=\"M514.13,-161.122C534.134,-163.83 555.279,-166.692 575.57,-169.439\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"582.708,-170.405 575.349,-172.588 579.24,-169.936 575.772,-169.466 575.772,-169.466 575.772,-169.466 579.24,-169.936 576.194,-166.345 582.708,-170.405 582.708,-170.405\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g class=\"node\" id=\"node7\"><title>5</title>\n",
|
|
"<ellipse cx=\"683.171\" cy=\"-111.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"638.171\" y=\"-115.67\">a=0, b=2, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"611.171\" y=\"-100.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->5 -->\n",
|
|
"<g class=\"edge\" id=\"edge7\"><title>2->5</title>\n",
|
|
"<path d=\"M514.13,-134.618C534.753,-131.826 556.589,-128.87 577.453,-126.046\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"584.488,-125.094 577.974,-129.154 581.019,-125.563 577.551,-126.033 577.551,-126.033 577.551,-126.033 581.019,-125.563 577.128,-122.911 584.488,-125.094 584.488,-125.094\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g class=\"node\" id=\"node8\"><title>6</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-327.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-331.67\">a=3, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"879.102\" y=\"-316.67\">!"a<1" & !"b>2" & dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->6 -->\n",
|
|
"<g class=\"edge\" id=\"edge8\"><title>3->6</title>\n",
|
|
"<path d=\"M759.31,-276.214C793.436,-285.453 833.873,-296.402 868.718,-305.836\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"875.609,-307.701 868.029,-308.912 872.23,-306.787 868.852,-305.872 868.852,-305.872 868.852,-305.872 872.23,-306.787 869.675,-302.831 875.609,-307.701 875.609,-307.701\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g class=\"node\" id=\"node9\"><title>7</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-255.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-259.67\">a=2, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"877.102\" y=\"-244.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->7 -->\n",
|
|
"<g class=\"edge\" id=\"edge9\"><title>3->7</title>\n",
|
|
"<path d=\"M799.265,-255.87C808.661,-255.87 818.179,-255.87 827.625,-255.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"834.832,-255.87 827.832,-259.02 831.332,-255.87 827.832,-255.87 827.832,-255.87 827.832,-255.87 831.332,-255.87 827.832,-252.72 834.832,-255.87 834.832,-255.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g class=\"edge\" id=\"edge10\"><title>4->7</title>\n",
|
|
"<path d=\"M759.31,-204.214C793.148,-213.375 833.191,-224.217 867.834,-233.596\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"874.688,-235.452 867.108,-236.663 871.309,-234.537 867.931,-233.622 867.931,-233.622 867.931,-233.622 871.309,-234.537 868.754,-230.582 874.688,-235.452 874.688,-235.452\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g class=\"node\" id=\"node10\"><title>8</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-183.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-187.67\">a=1, b=2, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"877.102\" y=\"-172.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->8 -->\n",
|
|
"<g class=\"edge\" id=\"edge11\"><title>4->8</title>\n",
|
|
"<path d=\"M799.265,-183.87C808.661,-183.87 818.179,-183.87 827.625,-183.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"834.832,-183.87 827.832,-187.02 831.332,-183.87 827.832,-183.87 827.832,-183.87 827.832,-183.87 831.332,-183.87 827.832,-180.72 834.832,-183.87 834.832,-183.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 5->8 -->\n",
|
|
"<g class=\"edge\" id=\"edge12\"><title>5->8</title>\n",
|
|
"<path d=\"M758.601,-132.022C792.597,-141.226 832.972,-152.158 867.864,-161.605\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"874.766,-163.473 867.186,-164.684 871.388,-162.558 868.009,-161.644 868.009,-161.644 868.009,-161.644 871.388,-162.558 868.833,-158.603 874.766,-163.473 874.766,-163.473\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g class=\"node\" id=\"node11\"><title>9</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-26.8701\" fill=\"#ffffaa\" rx=\"74.9067\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-30.6701\">a=0, b=3, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"946.102\" y=\"-15.6701\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->9 -->\n",
|
|
"<g class=\"edge\" id=\"edge13\"><title>5->9</title>\n",
|
|
"<path d=\"M751.62,-90.3111C793.454,-76.9397 846.823,-59.8814 887.681,-46.8216\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"894.385,-44.6789 888.676,-49.8107 891.051,-45.7446 887.717,-46.8102 887.717,-46.8102 887.717,-46.8102 891.051,-45.7446 886.758,-43.8097 894.385,-44.6789 894.385,-44.6789\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g class=\"node\" id=\"node12\"><title>10</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-111.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-115.67\">a=0, b=2, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"879.102\" y=\"-100.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->10 -->\n",
|
|
"<g class=\"edge\" id=\"edge14\"><title>5->10</title>\n",
|
|
"<path d=\"M796.564,-111.87C807.833,-111.87 819.305,-111.87 830.644,-111.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"837.684,-111.87 830.684,-115.02 834.184,-111.87 830.684,-111.87 830.684,-111.87 830.684,-111.87 834.184,-111.87 830.684,-108.72 837.684,-111.87 837.684,-111.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
|
"<g class=\"edge\" id=\"edge15\"><title>6->6</title>\n",
|
|
"<path d=\"M902.375,-352.332C897.735,-363.275 913.977,-372.74 951.102,-372.74 979.526,-372.74 995.708,-367.192 999.65,-359.68\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"999.828,-352.332 1002.81,-359.406 999.743,-355.831 999.658,-359.33 999.658,-359.33 999.658,-359.33 999.743,-355.831 996.509,-359.253 999.828,-352.332 999.828,-352.332\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g class=\"node\" id=\"node13\"><title>11</title>\n",
|
|
"<ellipse cx=\"1216.2\" cy=\"-327.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1171.2\" y=\"-331.67\">a=3, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1144.2\" y=\"-316.67\">!"a<1" & !"b>2" & dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->11 -->\n",
|
|
"<g class=\"edge\" id=\"edge16\"><title>7->11</title>\n",
|
|
"<path d=\"M1026.79,-276.31C1060.41,-285.508 1100.15,-296.385 1134.45,-305.772\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1141.24,-307.628 1133.65,-308.819 1137.86,-306.705 1134.49,-305.781 1134.49,-305.781 1134.49,-305.781 1137.86,-306.705 1135.32,-302.742 1141.24,-307.628 1141.24,-307.628\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g class=\"node\" id=\"node14\"><title>12</title>\n",
|
|
"<ellipse cx=\"1216.2\" cy=\"-255.87\" fill=\"#ffffaa\" rx=\"74.9067\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1171.2\" y=\"-259.67\">a=2, b=2, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1211.2\" y=\"-244.67\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->12 -->\n",
|
|
"<g class=\"edge\" id=\"edge17\"><title>7->12</title>\n",
|
|
"<path d=\"M1067.12,-255.87C1089.61,-255.87 1112.75,-255.87 1133.86,-255.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1140.94,-255.87 1133.94,-259.02 1137.44,-255.87 1133.94,-255.87 1133.94,-255.87 1133.94,-255.87 1137.44,-255.87 1133.94,-252.72 1140.94,-255.87 1140.94,-255.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 8->12 -->\n",
|
|
"<g class=\"edge\" id=\"edge18\"><title>8->12</title>\n",
|
|
"<path d=\"M1026.79,-204.31C1065.41,-214.877 1112.12,-227.66 1149.37,-237.854\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1156.21,-239.726 1148.63,-240.916 1152.83,-238.802 1149.46,-237.878 1149.46,-237.878 1149.46,-237.878 1152.83,-238.802 1150.29,-234.84 1156.21,-239.726 1156.21,-239.726\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g class=\"node\" id=\"node15\"><title>13</title>\n",
|
|
"<ellipse cx=\"1216.2\" cy=\"-183.87\" fill=\"#ffffaa\" rx=\"74.9067\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1171.2\" y=\"-187.67\">a=1, b=3, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1211.2\" y=\"-172.67\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->13 -->\n",
|
|
"<g class=\"edge\" id=\"edge19\"><title>8->13</title>\n",
|
|
"<path d=\"M1067.12,-183.87C1089.61,-183.87 1112.75,-183.87 1133.86,-183.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1140.94,-183.87 1133.94,-187.02 1137.44,-183.87 1133.94,-183.87 1133.94,-183.87 1133.94,-183.87 1137.44,-183.87 1133.94,-180.72 1140.94,-183.87 1140.94,-183.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g class=\"node\" id=\"node16\"><title>14</title>\n",
|
|
"<ellipse cx=\"1216.2\" cy=\"-111.87\" fill=\"#ffffaa\" rx=\"74.9067\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1171.2\" y=\"-115.67\">a=1, b=2, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1211.2\" y=\"-100.67\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->14 -->\n",
|
|
"<g class=\"edge\" id=\"edge20\"><title>8->14</title>\n",
|
|
"<path d=\"M1026.79,-163.43C1065.41,-152.863 1112.12,-140.08 1149.37,-129.886\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1156.21,-128.014 1150.29,-132.9 1152.83,-128.938 1149.46,-129.862 1149.46,-129.862 1149.46,-129.862 1152.83,-128.938 1148.63,-126.824 1156.21,-128.014 1156.21,-128.014\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u9 -->\n",
|
|
"<g class=\"node\" id=\"node17\"><title>u9</title>\n",
|
|
"<polygon fill=\"#ffffaa\" points=\"1229.2,-26.3701 1203.2,-26.3701 1203.2,-3.37006 1229.2,-3.37006 1229.2,-26.3701\" stroke=\"none\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1216.2\" y=\"-11.1701\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->u9 -->\n",
|
|
"<g class=\"edge\" id=\"edge21\"><title>9->u9</title>\n",
|
|
"<path d=\"M1025.74,-23.5114C1083.69,-20.8685 1160.36,-17.3713 1195.76,-15.7567\" fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1203.06,-15.4238 1196.21,-18.8896 1199.57,-15.5833 1196.07,-15.7428 1196.07,-15.7428 1196.07,-15.7428 1199.57,-15.5833 1195.93,-12.5961 1203.06,-15.4238 1203.06,-15.4238\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 10->14 -->\n",
|
|
"<g class=\"edge\" id=\"edge23\"><title>10->14</title>\n",
|
|
"<path d=\"M1064.44,-111.87C1087.76,-111.87 1111.9,-111.87 1133.84,-111.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1140.89,-111.87 1133.89,-115.02 1137.39,-111.87 1133.89,-111.87 1133.89,-111.87 1133.89,-111.87 1137.39,-111.87 1133.89,-108.72 1140.89,-111.87 1140.89,-111.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u10 -->\n",
|
|
"<g class=\"node\" id=\"node18\"><title>u10</title>\n",
|
|
"<polygon fill=\"#ffffaa\" points=\"1229.2,-67.3701 1203.2,-67.3701 1203.2,-44.3701 1229.2,-44.3701 1229.2,-67.3701\" stroke=\"none\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1216.2\" y=\"-52.1701\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 10->u10 -->\n",
|
|
"<g class=\"edge\" id=\"edge22\"><title>10->u10</title>\n",
|
|
"<path d=\"M1029.87,-92.4189C1053.33,-86.7964 1079.19,-80.841 1103.07,-75.8701 1135.59,-69.0971 1173.73,-62.6 1196.1,-58.9338\" fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1203.05,-57.8027 1196.64,-62.0361 1199.59,-58.3648 1196.14,-58.927 1196.14,-58.927 1196.14,-58.927 1199.59,-58.3648 1195.63,-55.8179 1203.05,-57.8027 1203.05,-57.8027\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 11->11 -->\n",
|
|
"<g class=\"edge\" id=\"edge24\"><title>11->11</title>\n",
|
|
"<path d=\"M1185.95,-354.141C1184.6,-364.298 1194.69,-372.74 1216.2,-372.74 1232.34,-372.74 1242.05,-367.991 1245.33,-361.332\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1246.46,-354.141 1248.48,-361.546 1245.92,-357.598 1245.37,-361.055 1245.37,-361.055 1245.37,-361.055 1245.92,-357.598 1242.26,-360.564 1246.46,-354.141 1246.46,-354.141\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u12 -->\n",
|
|
"<g class=\"node\" id=\"node19\"><title>u12</title>\n",
|
|
"<polygon fill=\"#ffffaa\" points=\"1391.34,-267.37 1365.34,-267.37 1365.34,-244.37 1391.34,-244.37 1391.34,-267.37\" stroke=\"none\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1378.34\" y=\"-252.17\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->u12 -->\n",
|
|
"<g class=\"edge\" id=\"edge25\"><title>12->u12</title>\n",
|
|
"<path d=\"M1291.18,-255.87C1315.91,-255.87 1341.42,-255.87 1358.2,-255.87\" fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1365.26,-255.87 1358.26,-259.02 1361.76,-255.87 1358.26,-255.87 1358.26,-255.87 1358.26,-255.87 1361.76,-255.87 1358.26,-252.72 1365.26,-255.87 1365.26,-255.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u13 -->\n",
|
|
"<g class=\"node\" id=\"node20\"><title>u13</title>\n",
|
|
"<polygon fill=\"#ffffaa\" points=\"1391.34,-195.37 1365.34,-195.37 1365.34,-172.37 1391.34,-172.37 1391.34,-195.37\" stroke=\"none\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1378.34\" y=\"-180.17\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->u13 -->\n",
|
|
"<g class=\"edge\" id=\"edge26\"><title>13->u13</title>\n",
|
|
"<path d=\"M1291.18,-183.87C1315.91,-183.87 1341.42,-183.87 1358.2,-183.87\" fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1365.26,-183.87 1358.26,-187.02 1361.76,-183.87 1358.26,-183.87 1358.26,-183.87 1358.26,-183.87 1361.76,-183.87 1358.26,-180.72 1365.26,-183.87 1365.26,-183.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- u14 -->\n",
|
|
"<g class=\"node\" id=\"node21\"><title>u14</title>\n",
|
|
"<polygon fill=\"#ffffaa\" points=\"1391.34,-123.37 1365.34,-123.37 1365.34,-100.37 1391.34,-100.37 1391.34,-123.37\" stroke=\"none\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1378.34\" y=\"-108.17\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 14->u14 -->\n",
|
|
"<g class=\"edge\" id=\"edge27\"><title>14->u14</title>\n",
|
|
"<path d=\"M1291.18,-111.87C1315.91,-111.87 1341.42,-111.87 1358.2,-111.87\" fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1365.26,-111.87 1358.26,-115.02 1361.76,-111.87 1358.26,-111.87 1358.26,-111.87 1358.26,-111.87 1361.76,-111.87 1358.26,-108.72 1365.26,-111.87 1365.26,-111.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"</g>\n",
|
|
"</svg>"
|
|
],
|
|
"text": [
|
|
"<IPython.core.display.SVG object>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 10
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"k.show('.<0') # unlimited output"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 11,
|
|
"svg": [
|
|
"<svg height=\"151pt\" viewBox=\"0.00 0.00 734.00 150.69\" width=\"734pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
|
|
"<g class=\"graph\" id=\"graph0\" transform=\"scale(0.390662 0.390662) rotate(0) translate(4 381.74)\">\n",
|
|
"<title>G</title>\n",
|
|
"<polygon fill=\"white\" points=\"-4,4 -4,-381.74 1874.86,-381.74 1874.86,4 -4,4\" stroke=\"none\"/>\n",
|
|
"<!-- I -->\n",
|
|
"<!-- 0 -->\n",
|
|
"<g class=\"node\" id=\"node2\"><title>0</title>\n",
|
|
"<ellipse cx=\"150.137\" cy=\"-188.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"105.137\" y=\"-192.67\">a=0, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"78.1371\" y=\"-177.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- I->0 -->\n",
|
|
"<g class=\"edge\" id=\"edge1\"><title>I->0</title>\n",
|
|
"<path d=\"M1.10737,-188.87C2.31861,-188.87 13.6687,-188.87 29.5939,-188.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"36.6828,-188.87 29.6829,-192.02 33.1828,-188.87 29.6828,-188.87 29.6828,-188.87 29.6828,-188.87 33.1828,-188.87 29.6828,-185.72 36.6828,-188.87 36.6828,-188.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
|
"<g class=\"node\" id=\"node3\"><title>1</title>\n",
|
|
"<ellipse cx=\"415.24\" cy=\"-224.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"370.24\" y=\"-228.67\">a=1, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"341.24\" y=\"-213.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->1 -->\n",
|
|
"<g class=\"edge\" id=\"edge2\"><title>0->1</title>\n",
|
|
"<path d=\"M248.733,-202.224C268.01,-204.862 288.33,-207.642 307.88,-210.317\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"315.044,-211.297 307.682,-213.469 311.577,-210.823 308.109,-210.348 308.109,-210.348 308.109,-210.348 311.577,-210.823 308.536,-207.227 315.044,-211.297 315.044,-211.297\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g class=\"node\" id=\"node4\"><title>2</title>\n",
|
|
"<ellipse cx=\"415.24\" cy=\"-152.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"370.24\" y=\"-156.67\">a=0, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"343.24\" y=\"-141.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->2 -->\n",
|
|
"<g class=\"edge\" id=\"edge3\"><title>0->2</title>\n",
|
|
"<path d=\"M248.733,-175.516C268.617,-172.795 289.613,-169.923 309.727,-167.17\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"316.802,-166.202 310.293,-170.272 313.334,-166.677 309.866,-167.151 309.866,-167.151 309.866,-167.151 313.334,-166.677 309.439,-164.031 316.802,-166.202 316.802,-166.202\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 3 -->\n",
|
|
"<g class=\"node\" id=\"node5\"><title>3</title>\n",
|
|
"<ellipse cx=\"683.171\" cy=\"-260.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"638.171\" y=\"-264.67\">a=2, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"609.171\" y=\"-249.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->3 -->\n",
|
|
"<g class=\"edge\" id=\"edge4\"><title>1->3</title>\n",
|
|
"<path d=\"M515.641,-238.326C535.172,-240.97 555.737,-243.754 575.495,-246.429\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"582.447,-247.37 575.088,-249.553 578.979,-246.901 575.511,-246.431 575.511,-246.431 575.511,-246.431 578.979,-246.901 575.933,-243.31 582.447,-247.37 582.447,-247.37\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g class=\"node\" id=\"node6\"><title>4</title>\n",
|
|
"<ellipse cx=\"683.171\" cy=\"-188.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"638.171\" y=\"-192.67\">a=1, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"609.171\" y=\"-177.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge5\"><title>1->4</title>\n",
|
|
"<path d=\"M515.641,-211.414C535.172,-208.77 555.737,-205.986 575.495,-203.311\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"582.447,-202.37 575.933,-206.431 578.979,-202.84 575.511,-203.309 575.511,-203.309 575.511,-203.309 578.979,-202.84 575.088,-200.188 582.447,-202.37 582.447,-202.37\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 2->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge6\"><title>2->4</title>\n",
|
|
"<path d=\"M514.13,-166.122C534.134,-168.83 555.279,-171.692 575.57,-174.439\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"582.708,-175.405 575.349,-177.588 579.24,-174.936 575.772,-174.466 575.772,-174.466 575.772,-174.466 579.24,-174.936 576.194,-171.345 582.708,-175.405 582.708,-175.405\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g class=\"node\" id=\"node7\"><title>5</title>\n",
|
|
"<ellipse cx=\"683.171\" cy=\"-116.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"638.171\" y=\"-120.67\">a=0, b=2, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"611.171\" y=\"-105.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->5 -->\n",
|
|
"<g class=\"edge\" id=\"edge7\"><title>2->5</title>\n",
|
|
"<path d=\"M514.13,-139.618C534.753,-136.826 556.589,-133.87 577.453,-131.046\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"584.488,-130.094 577.974,-134.154 581.019,-130.563 577.551,-131.033 577.551,-131.033 577.551,-131.033 581.019,-130.563 577.128,-127.911 584.488,-130.094 584.488,-130.094\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g class=\"node\" id=\"node8\"><title>6</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-332.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-336.67\">a=3, b=0, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"879.102\" y=\"-321.67\">!"a<1" & !"b>2" & dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->6 -->\n",
|
|
"<g class=\"edge\" id=\"edge8\"><title>3->6</title>\n",
|
|
"<path d=\"M759.31,-281.214C793.436,-290.453 833.873,-301.402 868.718,-310.836\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"875.609,-312.701 868.029,-313.912 872.23,-311.787 868.852,-310.872 868.852,-310.872 868.852,-310.872 872.23,-311.787 869.675,-307.831 875.609,-312.701 875.609,-312.701\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g class=\"node\" id=\"node9\"><title>7</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-260.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-264.67\">a=2, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"877.102\" y=\"-249.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->7 -->\n",
|
|
"<g class=\"edge\" id=\"edge9\"><title>3->7</title>\n",
|
|
"<path d=\"M799.265,-260.87C808.661,-260.87 818.179,-260.87 827.625,-260.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"834.832,-260.87 827.832,-264.02 831.332,-260.87 827.832,-260.87 827.832,-260.87 827.832,-260.87 831.332,-260.87 827.832,-257.72 834.832,-260.87 834.832,-260.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g class=\"edge\" id=\"edge10\"><title>4->7</title>\n",
|
|
"<path d=\"M759.31,-209.214C793.148,-218.375 833.191,-229.217 867.834,-238.596\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"874.688,-240.452 867.108,-241.663 871.309,-239.537 867.931,-238.622 867.931,-238.622 867.931,-238.622 871.309,-239.537 868.754,-235.582 874.688,-240.452 874.688,-240.452\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g class=\"node\" id=\"node10\"><title>8</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-188.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-192.67\">a=1, b=2, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"877.102\" y=\"-177.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->8 -->\n",
|
|
"<g class=\"edge\" id=\"edge11\"><title>4->8</title>\n",
|
|
"<path d=\"M799.265,-188.87C808.661,-188.87 818.179,-188.87 827.625,-188.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"834.832,-188.87 827.832,-192.02 831.332,-188.87 827.832,-188.87 827.832,-188.87 827.832,-188.87 831.332,-188.87 827.832,-185.72 834.832,-188.87 834.832,-188.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 5->8 -->\n",
|
|
"<g class=\"edge\" id=\"edge12\"><title>5->8</title>\n",
|
|
"<path d=\"M758.601,-137.022C792.597,-146.226 832.972,-157.158 867.864,-166.605\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"874.766,-168.473 867.186,-169.684 871.388,-167.558 868.009,-166.644 868.009,-166.644 868.009,-166.644 871.388,-167.558 868.833,-163.603 874.766,-168.473 874.766,-168.473\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g class=\"node\" id=\"node11\"><title>9</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-35.8701\" fill=\"#ffffaa\" rx=\"110.118\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-39.6701\">a=0, b=3, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"881.102\" y=\"-24.6701\">"a<1" & "b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->9 -->\n",
|
|
"<g class=\"edge\" id=\"edge13\"><title>5->9</title>\n",
|
|
"<path d=\"M753.694,-95.6941C790.782,-84.3974 836.471,-70.4808 874.448,-58.9136\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"881.445,-56.7822 875.667,-61.8352 878.097,-57.8021 874.749,-58.8219 874.749,-58.8219 874.749,-58.8219 878.097,-57.8021 873.831,-55.8086 881.445,-56.7822 881.445,-56.7822\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 10 -->\n",
|
|
"<g class=\"node\" id=\"node12\"><title>10</title>\n",
|
|
"<ellipse cx=\"951.102\" cy=\"-116.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"906.102\" y=\"-120.67\">a=0, b=2, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"879.102\" y=\"-105.67\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->10 -->\n",
|
|
"<g class=\"edge\" id=\"edge14\"><title>5->10</title>\n",
|
|
"<path d=\"M796.564,-116.87C807.833,-116.87 819.305,-116.87 830.644,-116.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"837.684,-116.87 830.684,-120.02 834.184,-116.87 830.684,-116.87 830.684,-116.87 830.684,-116.87 834.184,-116.87 830.684,-113.72 837.684,-116.87 837.684,-116.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
|
"<g class=\"edge\" id=\"edge15\"><title>6->6</title>\n",
|
|
"<path d=\"M902.006,-357.332C897.33,-368.275 913.695,-377.74 951.102,-377.74 979.741,-377.74 996.046,-372.192 1000.02,-364.68\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1000.2,-357.332 1003.18,-364.407 1000.11,-360.831 1000.03,-364.33 1000.03,-364.33 1000.03,-364.33 1000.11,-360.831 996.877,-364.253 1000.2,-357.332 1000.2,-357.332\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 11 -->\n",
|
|
"<g class=\"node\" id=\"node13\"><title>11</title>\n",
|
|
"<ellipse cx=\"1219.03\" cy=\"-332.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1174.03\" y=\"-336.67\">a=3, b=1, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1147.03\" y=\"-321.67\">!"a<1" & !"b>2" & dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->11 -->\n",
|
|
"<g class=\"edge\" id=\"edge16\"><title>7->11</title>\n",
|
|
"<path d=\"M1027.24,-281.214C1061.37,-290.453 1101.8,-301.402 1136.65,-310.836\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1143.54,-312.701 1135.96,-313.912 1140.16,-311.787 1136.78,-310.872 1136.78,-310.872 1136.78,-310.872 1140.16,-311.787 1137.61,-307.831 1143.54,-312.701 1143.54,-312.701\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 12 -->\n",
|
|
"<g class=\"node\" id=\"node14\"><title>12</title>\n",
|
|
"<ellipse cx=\"1219.03\" cy=\"-260.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1174.03\" y=\"-264.67\">a=2, b=2, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1145.03\" y=\"-249.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->12 -->\n",
|
|
"<g class=\"edge\" id=\"edge17\"><title>7->12</title>\n",
|
|
"<path d=\"M1067.2,-260.87C1076.59,-260.87 1086.11,-260.87 1095.56,-260.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1102.76,-260.87 1095.76,-264.02 1099.26,-260.87 1095.76,-260.87 1095.76,-260.87 1095.76,-260.87 1099.26,-260.87 1095.76,-257.72 1102.76,-260.87 1102.76,-260.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 8->12 -->\n",
|
|
"<g class=\"edge\" id=\"edge18\"><title>8->12</title>\n",
|
|
"<path d=\"M1027.24,-209.214C1061.08,-218.375 1101.12,-229.217 1135.77,-238.596\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1142.62,-240.452 1135.04,-241.663 1139.24,-239.537 1135.86,-238.622 1135.86,-238.622 1135.86,-238.622 1139.24,-239.537 1136.69,-235.582 1142.62,-240.452 1142.62,-240.452\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 13 -->\n",
|
|
"<g class=\"node\" id=\"node15\"><title>13</title>\n",
|
|
"<ellipse cx=\"1219.03\" cy=\"-188.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1174.03\" y=\"-192.67\">a=1, b=3, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1147.03\" y=\"-177.67\">!"a<1" & "b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->13 -->\n",
|
|
"<g class=\"edge\" id=\"edge19\"><title>8->13</title>\n",
|
|
"<path d=\"M1067.2,-188.87C1077.58,-188.87 1088.1,-188.87 1098.52,-188.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1105.71,-188.87 1098.71,-192.02 1102.21,-188.87 1098.71,-188.87 1098.71,-188.87 1098.71,-188.87 1102.21,-188.87 1098.71,-185.72 1105.71,-188.87 1105.71,-188.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 14 -->\n",
|
|
"<g class=\"node\" id=\"node16\"><title>14</title>\n",
|
|
"<ellipse cx=\"1219.03\" cy=\"-116.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1174.03\" y=\"-120.67\">a=1, b=2, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1145.03\" y=\"-105.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->14 -->\n",
|
|
"<g class=\"edge\" id=\"edge20\"><title>8->14</title>\n",
|
|
"<path d=\"M1027.24,-168.526C1061.08,-159.365 1101.12,-148.523 1135.77,-139.144\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1142.62,-137.288 1136.69,-142.158 1139.24,-138.203 1135.86,-139.118 1135.86,-139.118 1135.86,-139.118 1139.24,-138.203 1135.04,-136.077 1142.62,-137.288 1142.62,-137.288\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 15 -->\n",
|
|
"<g class=\"node\" id=\"node17\"><title>15</title>\n",
|
|
"<ellipse cx=\"1219.03\" cy=\"-26.8701\" fill=\"#ffffaa\" rx=\"107.46\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1174.03\" y=\"-30.6701\">a=0, b=3, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1151.03\" y=\"-15.6701\">"a<1" & "b>2" & dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->15 -->\n",
|
|
"<g class=\"edge\" id=\"edge21\"><title>9->15</title>\n",
|
|
"<path d=\"M1060.65,-32.1964C1075.34,-31.6994 1090.44,-31.1884 1105.2,-30.6888\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1112.41,-30.4446 1105.52,-33.8297 1108.91,-30.5631 1105.42,-30.6815 1105.42,-30.6815 1105.42,-30.6815 1108.91,-30.5631 1105.31,-27.5333 1112.41,-30.4446 1112.41,-30.4446\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 10->14 -->\n",
|
|
"<g class=\"edge\" id=\"edge22\"><title>10->14</title>\n",
|
|
"<path d=\"M1064.49,-116.87C1074.86,-116.87 1085.4,-116.87 1095.85,-116.87\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1103.06,-116.87 1096.06,-120.02 1099.56,-116.87 1096.06,-116.87 1096.06,-116.87 1096.06,-116.87 1099.56,-116.87 1096.06,-113.72 1103.06,-116.87 1103.06,-116.87\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 10->15 -->\n",
|
|
"<g class=\"edge\" id=\"edge23\"><title>10->15</title>\n",
|
|
"<path d=\"M1016.82,-94.9687C1056.43,-81.5624 1107.13,-64.4034 1147.73,-50.6639\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1154.41,-48.4023 1148.79,-53.6301 1151.09,-49.5243 1147.78,-50.6463 1147.78,-50.6463 1147.78,-50.6463 1151.09,-49.5243 1146.77,-47.6626 1154.41,-48.4023 1154.41,-48.4023\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 11->11 -->\n",
|
|
"<g class=\"edge\" id=\"edge24\"><title>11->11</title>\n",
|
|
"<path d=\"M1169.94,-357.332C1165.26,-368.275 1181.63,-377.74 1219.03,-377.74 1247.67,-377.74 1263.98,-372.192 1267.95,-364.68\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1268.13,-357.332 1271.11,-364.407 1268.04,-360.831 1267.96,-364.33 1267.96,-364.33 1267.96,-364.33 1268.04,-360.831 1264.81,-364.253 1268.13,-357.332 1268.13,-357.332\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 16 -->\n",
|
|
"<g class=\"node\" id=\"node18\"><title>16</title>\n",
|
|
"<ellipse cx=\"1486.96\" cy=\"-332.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1441.96\" y=\"-336.67\">a=3, b=2, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1412.96\" y=\"-321.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->16 -->\n",
|
|
"<g class=\"edge\" id=\"edge25\"><title>12->16</title>\n",
|
|
"<path d=\"M1295.17,-281.214C1329.01,-290.375 1369.05,-301.217 1403.7,-310.596\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1410.55,-312.452 1402.97,-313.663 1407.17,-311.537 1403.79,-310.622 1403.79,-310.622 1403.79,-310.622 1407.17,-311.537 1404.62,-307.582 1410.55,-312.452 1410.55,-312.452\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 17 -->\n",
|
|
"<g class=\"node\" id=\"node19\"><title>17</title>\n",
|
|
"<ellipse cx=\"1486.96\" cy=\"-188.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1441.96\" y=\"-192.67\">a=2, b=3, Q=0</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1414.96\" y=\"-177.67\">!"a<1" & "b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->17 -->\n",
|
|
"<g class=\"edge\" id=\"edge26\"><title>12->17</title>\n",
|
|
"<path d=\"M1295.17,-240.526C1329.3,-231.287 1369.74,-220.339 1404.58,-210.905\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1411.47,-209.039 1405.54,-213.909 1408.09,-209.954 1404.71,-210.868 1404.71,-210.868 1404.71,-210.868 1408.09,-209.954 1403.89,-207.828 1411.47,-209.039 1411.47,-209.039\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 18 -->\n",
|
|
"<g class=\"node\" id=\"node20\"><title>18</title>\n",
|
|
"<ellipse cx=\"1486.96\" cy=\"-260.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1441.96\" y=\"-264.67\">a=2, b=2, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1412.96\" y=\"-249.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 12->18 -->\n",
|
|
"<g class=\"edge\" id=\"edge27\"><title>12->18</title>\n",
|
|
"<path d=\"M1331.66,-254.198C1343.54,-254.111 1355.65,-254.097 1367.61,-254.156\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1374.63,-254.2 1367.61,-257.306 1371.13,-254.178 1367.63,-254.156 1367.63,-254.156 1367.63,-254.156 1371.13,-254.178 1367.65,-251.006 1374.63,-254.2 1374.63,-254.2\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 19 -->\n",
|
|
"<g class=\"node\" id=\"node21\"><title>19</title>\n",
|
|
"<ellipse cx=\"1486.96\" cy=\"-98.8701\" fill=\"#ffffaa\" rx=\"110.118\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1441.96\" y=\"-102.67\">a=1, b=3, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1416.96\" y=\"-87.6701\">!"a<1" & "b>2" & dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 13->19 -->\n",
|
|
"<g class=\"edge\" id=\"edge28\"><title>13->19</title>\n",
|
|
"<path d=\"M1289.18,-167.711C1304.31,-162.942 1320.22,-157.823 1335,-152.87 1362.37,-143.692 1392.35,-133.085 1418.33,-123.715\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1425.19,-121.235 1419.68,-126.577 1421.9,-122.425 1418.61,-123.614 1418.61,-123.614 1418.61,-123.614 1421.9,-122.425 1417.54,-120.652 1425.19,-121.235 1425.19,-121.235\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 14->18 -->\n",
|
|
"<g class=\"edge\" id=\"edge29\"><title>14->18</title>\n",
|
|
"<path d=\"M1305.45,-134.936C1316.12,-139.606 1326.32,-145.481 1335,-152.87 1362.24,-176.063 1343.76,-201.677 1371,-224.87 1377.91,-230.758 1385.79,-235.685 1394.11,-239.807\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1400.54,-242.804 1392.87,-242.704 1397.37,-241.326 1394.2,-239.848 1394.2,-239.848 1394.2,-239.848 1397.37,-241.326 1395.53,-236.993 1400.54,-242.804 1400.54,-242.804\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 14->19 -->\n",
|
|
"<g class=\"edge\" id=\"edge30\"><title>14->19</title>\n",
|
|
"<path d=\"M1330.5,-109.393C1344.6,-108.439 1359.04,-107.461 1373.17,-106.504\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1380.53,-106.006 1373.76,-109.622 1377.04,-106.243 1373.55,-106.479 1373.55,-106.479 1373.55,-106.479 1377.04,-106.243 1373.34,-103.336 1380.53,-106.006 1380.53,-106.006\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 15->15 -->\n",
|
|
"<g class=\"edge\" id=\"edge31\"><title>15->15</title>\n",
|
|
"<path d=\"M1170.14,-50.8749C1164.81,-62.0106 1181.11,-71.7401 1219.03,-71.7401 1248.66,-71.7401 1265.09,-65.8017 1268.32,-57.8937\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1267.92,-50.8749 1271.46,-57.6868 1268.12,-54.3693 1268.31,-57.8638 1268.31,-57.8638 1268.31,-57.8638 1268.12,-54.3693 1265.17,-58.0408 1267.92,-50.8749 1267.92,-50.8749\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 20 -->\n",
|
|
"<g class=\"node\" id=\"node22\"><title>20</title>\n",
|
|
"<ellipse cx=\"1754.89\" cy=\"-332.87\" fill=\"#ffffaa\" rx=\"115.931\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1709.89\" y=\"-336.67\">a=3, b=2, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1680.89\" y=\"-321.67\">!"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 16->20 -->\n",
|
|
"<g class=\"edge\" id=\"edge32\"><title>16->20</title>\n",
|
|
"<path d=\"M1599.59,-326.198C1611.47,-326.111 1623.58,-326.097 1635.54,-326.156\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1642.56,-326.2 1635.54,-329.306 1639.06,-326.178 1635.56,-326.156 1635.56,-326.156 1635.56,-326.156 1639.06,-326.178 1635.58,-323.006 1642.56,-326.2 1642.56,-326.2\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 21 -->\n",
|
|
"<g class=\"node\" id=\"node23\"><title>21</title>\n",
|
|
"<ellipse cx=\"1754.89\" cy=\"-188.87\" fill=\"#ffffaa\" rx=\"113.274\" ry=\"26.7407\" stroke=\"black\"/>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1709.89\" y=\"-192.67\">a=2, b=3, Q=1</text>\n",
|
|
"<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"1682.89\" y=\"-177.67\">!"a<1" & "b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 17->21 -->\n",
|
|
"<g class=\"edge\" id=\"edge33\"><title>17->21</title>\n",
|
|
"<path d=\"M1596.9,-182.219C1610.45,-182.106 1624.36,-182.09 1638.02,-182.17\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1645.13,-182.22 1638.11,-185.32 1641.63,-182.196 1638.13,-182.171 1638.13,-182.171 1638.13,-182.171 1641.63,-182.196 1638.16,-179.021 1645.13,-182.22 1645.13,-182.22\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 18->12 -->\n",
|
|
"<g class=\"edge\" id=\"edge36\"><title>18->12</title>\n",
|
|
"<path d=\"M1374.63,-267.54C1362.75,-267.629 1350.63,-267.644 1338.68,-267.585\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1331.66,-267.542 1338.67,-264.435 1335.16,-267.564 1338.66,-267.585 1338.66,-267.585 1338.66,-267.585 1335.16,-267.564 1338.64,-270.735 1331.66,-267.542 1331.66,-267.542\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 18->20 -->\n",
|
|
"<g class=\"edge\" id=\"edge34\"><title>18->20</title>\n",
|
|
"<path d=\"M1563.1,-281.214C1596.94,-290.375 1636.98,-301.217 1671.63,-310.596\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1678.48,-312.452 1670.9,-313.663 1675.1,-311.537 1671.72,-310.622 1671.72,-310.622 1671.72,-310.622 1675.1,-311.537 1672.55,-307.582 1678.48,-312.452 1678.48,-312.452\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 18->21 -->\n",
|
|
"<g class=\"edge\" id=\"edge35\"><title>18->21</title>\n",
|
|
"<path d=\"M1563.1,-240.526C1597.23,-231.287 1637.67,-220.339 1672.51,-210.905\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1679.4,-209.039 1673.47,-213.909 1676.02,-209.954 1672.64,-210.868 1672.64,-210.868 1672.64,-210.868 1676.02,-209.954 1671.82,-207.828 1679.4,-209.039 1679.4,-209.039\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 19->19 -->\n",
|
|
"<g class=\"edge\" id=\"edge37\"><title>19->19</title>\n",
|
|
"<path d=\"M1437.87,-123.332C1433.19,-134.275 1449.56,-143.74 1486.96,-143.74 1515.6,-143.74 1531.91,-138.192 1535.88,-130.68\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1536.06,-123.332 1539.04,-130.407 1535.97,-126.831 1535.89,-130.33 1535.89,-130.33 1535.89,-130.33 1535.97,-126.831 1532.74,-130.253 1536.06,-123.332 1536.06,-123.332\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 20->16 -->\n",
|
|
"<g class=\"edge\" id=\"edge38\"><title>20->16</title>\n",
|
|
"<path d=\"M1642.56,-339.54C1630.68,-339.629 1618.56,-339.644 1606.61,-339.585\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1599.59,-339.542 1606.61,-336.435 1603.09,-339.564 1606.59,-339.585 1606.59,-339.585 1606.59,-339.585 1603.09,-339.564 1606.57,-342.735 1599.59,-339.542 1599.59,-339.542\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 21->17 -->\n",
|
|
"<g class=\"edge\" id=\"edge39\"><title>21->17</title>\n",
|
|
"<path d=\"M1645.13,-195.52C1631.58,-195.633 1617.67,-195.65 1604.01,-195.571\" fill=\"none\" stroke=\"black\"/>\n",
|
|
"<polygon fill=\"black\" points=\"1596.9,-195.521 1603.92,-192.421 1600.4,-195.546 1603.9,-195.571 1603.9,-195.571 1603.9,-195.571 1600.4,-195.546 1603.87,-198.72 1596.9,-195.521 1596.9,-195.521\" stroke=\"black\"/>\n",
|
|
"</g>\n",
|
|
"</g>\n",
|
|
"</svg>"
|
|
],
|
|
"text": [
|
|
"<IPython.core.display.SVG object>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 11
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"a = spot.translate('\"a<1\" U \"b>2\"'); a"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 12,
|
|
"svg": [
|
|
"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
|
|
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
|
|
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
|
|
"<!-- Generated by graphviz version 2.38.0 (20140413.2041)\n",
|
|
" -->\n",
|
|
"<!-- Title: G Pages: 1 -->\n",
|
|
"<svg width=\"198pt\" height=\"85pt\"\n",
|
|
" viewBox=\"0.00 0.00 198.00 85.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
|
|
"<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 81)\">\n",
|
|
"<title>G</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"none\" points=\"-4,4 -4,-81 194,-81 194,4 -4,4\"/>\n",
|
|
"<!-- I -->\n",
|
|
"<!-- 1 -->\n",
|
|
"<g id=\"node2\" class=\"node\"><title>1</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"56\" cy=\"-22\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"56\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
|
|
"</g>\n",
|
|
"<!-- I->1 -->\n",
|
|
"<g id=\"edge1\" class=\"edge\"><title>I->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1.15491,-22C2.79388,-22 17.1543,-22 30.6317,-22\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"37.9419,-22 30.9419,-25.1501 34.4419,-22 30.9419,-22.0001 30.9419,-22.0001 30.9419,-22.0001 34.4419,-22 30.9418,-18.8501 37.9419,-22 37.9419,-22\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1->1 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\"><title>1->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M49.6208,-39.0373C48.3189,-48.8579 50.4453,-58 56,-58 60.166,-58 62.4036,-52.8576 62.7128,-46.1433\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"62.3792,-39.0373 65.8541,-45.8818 62.5434,-42.5335 62.7076,-46.0296 62.7076,-46.0296 62.7076,-46.0296 62.5434,-42.5335 59.561,-46.1774 62.3792,-39.0373 62.3792,-39.0373\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"10.5\" y=\"-61.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2"</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0 -->\n",
|
|
"<g id=\"node3\" class=\"node\"><title>0</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"168\" cy=\"-22\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<ellipse fill=\"none\" stroke=\"black\" cx=\"168\" cy=\"-22\" rx=\"22\" ry=\"22\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"168\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">0</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->0 -->\n",
|
|
"<g id=\"edge3\" class=\"edge\"><title>1->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M74.1875,-22C91.4086,-22 118.216,-22 138.601,-22\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"145.791,-22 138.791,-25.1501 142.291,-22 138.791,-22.0001 138.791,-22.0001 138.791,-22.0001 142.291,-22 138.791,-18.8501 145.791,-22 145.791,-22\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"92\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\">"b>2"</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->0 -->\n",
|
|
"<g id=\"edge2\" class=\"edge\"><title>0->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M157.574,-41.7575C155.802,-52.3499 159.277,-62 168,-62 174.678,-62 178.281,-56.3433 178.807,-48.9379\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"178.426,-41.7575 181.943,-48.5807 178.612,-45.2526 178.797,-48.7476 178.797,-48.7476 178.797,-48.7476 178.612,-45.2526 175.652,-48.9146 178.426,-41.7575 178.426,-41.7575\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"168\" y=\"-65.8\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
|
|
"</g>\n",
|
|
"</g>\n",
|
|
"</svg>\n"
|
|
],
|
|
"text": [
|
|
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f4024027150> >"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 12
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"spot.otf_product(k, a)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 13,
|
|
"svg": [
|
|
"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
|
|
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
|
|
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
|
|
"<!-- Generated by graphviz version 2.38.0 (20140413.2041)\n",
|
|
" -->\n",
|
|
"<!-- Title: G Pages: 1 -->\n",
|
|
"<svg width=\"734pt\" height=\"105pt\"\n",
|
|
" viewBox=\"0.00 0.00 734.00 104.73\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
|
|
"<g id=\"graph0\" class=\"graph\" transform=\"scale(0.459345 0.459345) rotate(0) translate(4 224)\">\n",
|
|
"<title>G</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"none\" points=\"-4,4 -4,-224 1593.93,-224 1593.93,4 -4,4\"/>\n",
|
|
"<!-- I -->\n",
|
|
"<!-- 0 -->\n",
|
|
"<g id=\"node2\" class=\"node\"><title>0</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"121.193\" cy=\"-179\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"121.193\" y=\"-175.3\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=0, Q=0 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- I->0 -->\n",
|
|
"<g id=\"edge1\" class=\"edge\"><title>I->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1.08639,-179C2.22134,-179 14.4198,-179 30.6117,-179\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"37.775,-179 30.775,-182.15 34.275,-179 30.775,-179 30.775,-179 30.775,-179 34.275,-179 30.7749,-175.85 37.775,-179 37.775,-179\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
|
"<g id=\"node3\" class=\"node\"><title>1</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"467.578\" cy=\"-202\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"467.578\" y=\"-198.3\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=0, Q=0 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->1 -->\n",
|
|
"<g id=\"edge2\" class=\"edge\"><title>0->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M201.202,-184.277C254.796,-187.856 325.624,-192.586 380.627,-196.26\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"387.937,-196.748 380.742,-199.424 384.444,-196.515 380.952,-196.281 380.952,-196.281 380.952,-196.281 384.444,-196.515 381.162,-193.138 387.937,-196.748 387.937,-196.748\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"222.385\" y=\"-198.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g id=\"node4\" class=\"node\"><title>2</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"467.578\" cy=\"-148\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"467.578\" y=\"-144.3\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=1, Q=0 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->2 -->\n",
|
|
"<g id=\"edge3\" class=\"edge\"><title>0->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M191.935,-169.446C202.138,-168.195 212.526,-167.002 222.385,-166 274.68,-160.684 333.428,-156.304 380.194,-153.196\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"387.299,-152.727 380.521,-156.331 383.806,-152.958 380.314,-153.188 380.314,-153.188 380.314,-153.188 383.806,-152.958 380.107,-150.045 387.299,-152.727 387.299,-152.727\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"222.385\" y=\"-169.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3 -->\n",
|
|
"<g id=\"node5\" class=\"node\"><title>3</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"813.963\" cy=\"-171\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"813.963\" y=\"-167.3\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=1, Q=0 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->3 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\"><title>2->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M547.587,-153.277C601.181,-156.856 672.009,-161.586 727.012,-165.26\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"734.322,-165.748 727.127,-168.424 730.83,-165.515 727.337,-165.281 727.337,-165.281 727.337,-165.281 730.83,-165.515 727.547,-162.138 734.322,-165.748 734.322,-165.748\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"568.77\" y=\"-167.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node6\" class=\"node\"><title>4</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"813.963\" cy=\"-117\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"813.963\" y=\"-113.3\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=2, Q=0 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->4 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\"><title>2->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M538.32,-138.446C548.523,-137.195 558.911,-136.002 568.77,-135 621.065,-129.684 679.813,-125.304 726.579,-122.196\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"733.684,-121.727 726.907,-125.331 730.192,-121.958 726.699,-122.188 726.699,-122.188 726.699,-122.188 730.192,-121.958 726.492,-119.045 733.684,-121.727 733.684,-121.727\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"568.77\" y=\"-138.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node7\" class=\"node\"><title>5</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1160.35\" cy=\"-171\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1160.35\" y=\"-167.3\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=2, Q=0 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->5 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\"><title>4->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M876.083,-129.044C888.968,-131.456 902.494,-133.893 915.156,-136 970.724,-145.246 1033.65,-154.231 1081.71,-160.781\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1088.69,-161.73 1081.33,-163.908 1085.22,-161.259 1081.76,-160.787 1081.76,-160.787 1081.76,-160.787 1085.22,-161.259 1082.18,-157.666 1088.69,-161.73 1088.69,-161.73\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"915.156\" y=\"-159.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6 -->\n",
|
|
"<g id=\"node8\" class=\"node\"><title>6</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1160.35\" cy=\"-117\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1160.35\" y=\"-113.3\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=3, Q=0 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->6 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\"><title>4->6</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M897.452,-117C949.442,-117 1016.57,-117 1069.85,-117\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1076.94,-117 1069.94,-120.15 1073.44,-117 1069.94,-117 1069.94,-117 1069.94,-117 1073.44,-117 1069.94,-113.85 1076.94,-117 1076.94,-117\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"915.156\" y=\"-120.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node9\" class=\"node\"><title>7</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1160.35\" cy=\"-63\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1160.35\" y=\"-59.3\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=2, Q=1 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\"><title>4->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M876.083,-104.956C888.968,-102.544 902.494,-100.107 915.156,-98 970.724,-88.7538 1033.65,-79.7694 1081.71,-73.2187\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1088.69,-72.2701 1082.18,-76.3341 1085.22,-72.7414 1081.76,-73.2128 1081.76,-73.2128 1081.76,-73.2128 1085.22,-72.7414 1081.33,-70.0915 1088.69,-72.2701 1088.69,-72.2701\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"915.156\" y=\"-101.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node10\" class=\"node\"><title>8</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1506.73\" cy=\"-117\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1506.73\" y=\"-113.3\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=3, Q=1 * 0</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->8 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\"><title>6->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1243.84,-117C1295.83,-117 1362.95,-117 1416.23,-117\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1423.32,-117 1416.32,-120.15 1419.82,-117 1416.32,-117 1416.32,-117 1416.32,-117 1419.82,-117 1416.32,-113.85 1423.32,-117 1423.32,-117\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1263.54\" y=\"-120.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & "b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- u7 -->\n",
|
|
"<g id=\"node11\" class=\"node\"><title>u7</title>\n",
|
|
"<polygon fill=\"#ffffaa\" stroke=\"none\" points=\"1519.73,-77.5 1493.73,-77.5 1493.73,-54.5 1519.73,-54.5 1519.73,-77.5\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1506.73\" y=\"-62.3\" font-family=\"Lato\" font-size=\"14.00\">...</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->u7 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\"><title>7->u7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" stroke-dasharray=\"5,2\" d=\"M1243.84,-63.7186C1324.16,-64.4183 1440.61,-65.4327 1486.3,-65.8307\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1493.5,-65.8934 1486.47,-68.9823 1490,-65.8629 1486.5,-65.8324 1486.5,-65.8324 1486.5,-65.8324 1490,-65.8629 1486.53,-62.6825 1493.5,-65.8934 1493.5,-65.8934\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 9 -->\n",
|
|
"<g id=\"node12\" class=\"node\"><title>9</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1506.73\" cy=\"-18\" rx=\"83.3857\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"1506.73\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=2, Q=1 * 1</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->9 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\"><title>7->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1223.24,-51.2056C1235.89,-48.986 1249.12,-46.7999 1261.54,-45 1315.04,-37.2455 1375.42,-30.5512 1422.76,-25.7681\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1429.94,-25.0468 1423.29,-28.8805 1426.46,-25.3965 1422.98,-25.7463 1422.98,-25.7463 1422.98,-25.7463 1426.46,-25.3965 1422.66,-22.612 1429.94,-25.0468 1429.94,-25.0468\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1261.54\" y=\"-48.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b>2" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->8 -->\n",
|
|
"<g id=\"edge12\" class=\"edge\"><title>8->8</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1476.26,-134.037C1470.04,-143.858 1480.19,-153 1506.73,-153 1526.64,-153 1537.33,-147.858 1538.81,-141.143\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1537.21,-134.037 1541.82,-140.178 1537.98,-137.452 1538.74,-140.868 1538.74,-140.868 1538.74,-140.868 1537.98,-137.452 1535.67,-141.557 1537.21,-134.037 1537.21,-134.037\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1438.73\" y=\"-171.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & "b>2" & dead</text>\n",
|
|
"<text text-anchor=\"start\" x=\"1498.73\" y=\"-156.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#5da5da\">\u24ff</text>\n",
|
|
"</g>\n",
|
|
"</g>\n",
|
|
"</svg>\n"
|
|
],
|
|
"text": [
|
|
"<spot.impl.twa_product; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_product > *' at 0x7f402430ffc0> >"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 13
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"If we want to create a `model_check` function that takes a model and formula, we need to get the list of atomic propositions used in the formula using `atomic_prop_collect()`. This returns an `atomic_prop_set`:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"a = spot.atomic_prop_collect(spot.formula('\"a < 2\" W \"b == 1\"')); a"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"latex": [
|
|
"$\\{``\\mathit{a < 2}\\textrm{''}, ``\\mathit{b == 1}\\textrm{''}\\}$"
|
|
],
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 14,
|
|
"text": [
|
|
"{\"a < 2\", \"b == 1\"}"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 14
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"def model_check(f, m):\n",
|
|
" f = spot.formula(f)\n",
|
|
" ss = m.kripke(spot.atomic_prop_collect(f))\n",
|
|
" nf = spot.formula_Not(f).translate()\n",
|
|
" return spot.otf_product(ss, nf).is_empty() "
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 15
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"model_check('\"a<1\" R \"b > 1\"', m)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 16,
|
|
"text": [
|
|
"False"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 16
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Instead of `otf_product(x, y).is_empty()` we prefer to call `!x.intersects(y)`. There is also `x.intersecting_run(y)` that can be used to return a counterexample."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": true,
|
|
"input": [
|
|
"def model_debug(f, m):\n",
|
|
" f = spot.formula(f)\n",
|
|
" ss = m.kripke(spot.atomic_prop_collect(f))\n",
|
|
" nf = spot.formula_Not(f).translate()\n",
|
|
" return ss.intersecting_run(nf)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 21
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"run = model_debug('\"a<1\" R \"b > 1\"', m); run"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 23,
|
|
"text": [
|
|
"Prefix:\n",
|
|
" a=0, b=0, Q=0\n",
|
|
" | \"a<1\" & !\"b > 1\" & !dead\n",
|
|
" a=1, b=0, Q=0\n",
|
|
" | !\"a<1\" & !\"b > 1\" & !dead\n",
|
|
" a=2, b=0, Q=0\n",
|
|
" | !\"a<1\" & !\"b > 1\" & !dead\n",
|
|
"Cycle:\n",
|
|
" a=3, b=0, Q=0\n",
|
|
" | !\"a<1\" & !\"b > 1\" & dead"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 23
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"This accepting run can be represented as an automaton (the `True` argument requires the state names to be preserved). This can be more readable."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"run.as_twa(True)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 24,
|
|
"svg": [
|
|
"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
|
|
"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
|
|
" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
|
|
"<!-- Generated by graphviz version 2.38.0 (20140413.2041)\n",
|
|
" -->\n",
|
|
"<!-- Title: G Pages: 1 -->\n",
|
|
"<svg width=\"734pt\" height=\"48pt\"\n",
|
|
" viewBox=\"0.00 0.00 734.00 48.19\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
|
|
"<g id=\"graph0\" class=\"graph\" transform=\"scale(0.625875 0.625875) rotate(0) translate(4 73)\">\n",
|
|
"<title>G</title>\n",
|
|
"<polygon fill=\"white\" stroke=\"none\" points=\"-4,4 -4,-73 1168.76,-73 1168.76,4 -4,4\"/>\n",
|
|
"<!-- I -->\n",
|
|
"<!-- 0 -->\n",
|
|
"<g id=\"node2\" class=\"node\"><title>0</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"106.894\" cy=\"-18\" rx=\"68.7879\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"61.8939\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\">a=0, b=0, Q=0</text>\n",
|
|
"</g>\n",
|
|
"<!-- I->0 -->\n",
|
|
"<g id=\"edge1\" class=\"edge\"><title>I->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1.07603,-18C2.16168,-18 14.7505,-18 30.8523,-18\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"37.9448,-18 30.9448,-21.1501 34.4448,-18 30.9448,-18.0001 30.9448,-18.0001 30.9448,-18.0001 34.4448,-18 30.9447,-14.8501 37.9448,-18 37.9448,-18\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
|
"<g id=\"node3\" class=\"node\"><title>1</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"431.682\" cy=\"-18\" rx=\"68.7879\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"386.682\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\">a=1, b=0, Q=0</text>\n",
|
|
"</g>\n",
|
|
"<!-- 0->1 -->\n",
|
|
"<g id=\"edge2\" class=\"edge\"><title>0->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M175.954,-18C228.529,-18 301.235,-18 355.518,-18\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"362.714,-18 355.714,-21.1501 359.214,-18 355.714,-18.0001 355.714,-18.0001 355.714,-18.0001 359.214,-18 355.714,-14.8501 362.714,-18 362.714,-18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"193.788\" y=\"-21.8\" font-family=\"Lato\" font-size=\"14.00\">"a<1" & !"b > 1" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g id=\"node4\" class=\"node\"><title>2</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"760.469\" cy=\"-18\" rx=\"68.7879\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"715.469\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\">a=2, b=0, Q=0</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->2 -->\n",
|
|
"<g id=\"edge3\" class=\"edge\"><title>1->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M500.789,-18C554.316,-18 628.812,-18 684.12,-18\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"691.449,-18 684.45,-21.1501 687.949,-18 684.449,-18.0001 684.449,-18.0001 684.449,-18.0001 687.949,-18 684.449,-14.8501 691.449,-18 691.449,-18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"518.576\" y=\"-21.8\" font-family=\"Lato\" font-size=\"14.00\">!"a<1" & !"b > 1" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3 -->\n",
|
|
"<g id=\"node5\" class=\"node\"><title>3</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1089.26\" cy=\"-18\" rx=\"68.7879\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1044.26\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\">a=3, b=0, Q=0</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->3 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\"><title>2->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M829.577,-18C883.103,-18 957.6,-18 1012.91,-18\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1020.24,-18 1013.24,-21.1501 1016.74,-18 1013.24,-18.0001 1013.24,-18.0001 1013.24,-18.0001 1016.74,-18 1013.24,-14.8501 1020.24,-18 1020.24,-18\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"847.363\" y=\"-21.8\" font-family=\"Lato\" font-size=\"14.00\">!"a<1" & !"b > 1" & !dead</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\"><title>3->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M1060.43,-34.6641C1054.02,-44.625 1063.63,-54 1089.26,-54 1108.88,-54 1119.11,-48.5045 1119.95,-41.4581\"/>\n",
|
|
"<polygon fill=\"black\" stroke=\"black\" points=\"1118.09,-34.6641 1122.98,-40.5804 1119.01,-38.0392 1119.94,-41.4143 1119.94,-41.4143 1119.94,-41.4143 1119.01,-38.0392 1116.9,-42.2483 1118.09,-34.6641 1118.09,-34.6641\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"1013.76\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\">!"a<1" & !"b > 1" & dead</text>\n",
|
|
"</g>\n",
|
|
"</g>\n",
|
|
"</svg>\n"
|
|
],
|
|
"text": [
|
|
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f4024027720> >"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 24
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
}
|