3303b86a89
* tests/core/ltl2tgba2.test: Add a test-case reported by Maximilien. * spot/twaalgos/translate.cc: Translate any "safety" formula with "rest". * tests/python/highlighting.ipynb: Adjust.
2773 lines
186 KiB
Text
2773 lines
186 KiB
Text
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import spot\n",
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"spot.setup()\n",
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"from IPython.display import display"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"This notebook shows you different ways in which states or transitions can be highlighted in Spot. \n",
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"\n",
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"It should be noted that highlighting works using some special [named properties](https://spot.lrde.epita.fr/concepts.html#named-properties): basically, two maps that are attached to the automaton, and associated state or edge numbers to color numbers. This named properties are fragile: they will be lost if the automaton is transformed into a new automaton, and they can become meaningless of the automaton is modified in place (e.g., if the transitions or states are reordered).\n",
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"\n",
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"Nonetheless, highlighting is OK to use right before displaying or printing the automaton. The `dot` and `hoa` printer both know how to represent highlighted states and transitions.\n",
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"\n",
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"# Manual highlighting"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"a = spot.translate('a U b U c')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"The `#` option of `print_dot()` can be used to display the internal number of each transition "
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]
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},
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"a.show('.#')"
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"source": [
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"Using these numbers you can selectively hightlight some transitions. The second argument is a color number (from a list of predefined colors)."
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]
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},
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"a.highlight_edges([2, 4, 5], 1)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Note that these `highlight_` functions work for edges and states, and come with both singular (changing the color of single state or edge) and plural versions.\n",
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"\n",
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"They modify the automaton in place."
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]
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"</g>\n",
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"<g id=\"edge7\" class=\"edge\">\n",
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"<text text-anchor=\"start\" x=\"38\" y=\"-101.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & !c</text>\n",
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"</g>\n",
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"<!-- 2->0 -->\n",
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"<g id=\"edge5\" class=\"edge\">\n",
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"<title>2->0</title>\n",
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"<path fill=\"none\" stroke=\"#ff4da0\" stroke-width=\"2\" d=\"M73.8043,-66.4087C102.797,-73.0076 161.9993,-84.0634 212,-78 224.3248,-76.5054 237.6823,-73.472 249.0644,-70.4443\"/>\n",
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"<!-- 1 -->\n",
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"<g id=\"node4\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"#1f78b4\" stroke-width=\"2\" cx=\"194\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"start\" x=\"189.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<g id=\"edge6\" class=\"edge\">\n",
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"<title>2->1</title>\n",
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"<path fill=\"none\" stroke=\"#ff4da0\" stroke-width=\"2\" d=\"M73.1988,-56.5163C97.4739,-48.7764 141.9077,-34.6091 169.5907,-25.7827\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-53.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a & b & !c</text>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"</g>\n",
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"<!-- 1->0 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>1->0</title>\n",
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"<text text-anchor=\"start\" x=\"230\" y=\"-43.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">c</text>\n",
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"</g>\n",
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"<!-- 1->1 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>1->1</title>\n",
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"<text text-anchor=\"start\" x=\"175.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">b & !c</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa; proxy of <Swig Object of type 'std::shared_ptr< spot::twa > *' at 0x7f6a44edacc0> >"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
|
|
"a.highlight_edge(6, 2).highlight_states((0, 1), 0)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
|
"The plural version can take a list or tuple of state numbers (as above) or of Booleans (as below). In the latter case the indices of the True values give the states to highlight."
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|
]
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|
},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/svg+xml": [
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"<!-- I -->\n",
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"<!-- 2 -->\n",
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"</g>\n",
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"<!-- I->2 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->2</title>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
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"<g id=\"edge7\" class=\"edge\">\n",
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"<title>2->2</title>\n",
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"<path fill=\"none\" stroke=\"#ff7f00\" stroke-width=\"2\" d=\"M49.6208,-79.0373C48.3189,-88.8579 50.4453,-98 56,-98 60.166,-98 62.4036,-92.8576 62.7128,-86.1433\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"38\" y=\"-101.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & !c</text>\n",
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"</g>\n",
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"<!-- 0 -->\n",
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"<g id=\"node3\" class=\"node\">\n",
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"<title>0</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"#1f78b4\" stroke-width=\"2\" cx=\"277\" cy=\"-62\" rx=\"18\" ry=\"18\"/>\n",
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"<ellipse fill=\"none\" stroke=\"#1f78b4\" stroke-width=\"2\" cx=\"277\" cy=\"-62\" rx=\"22\" ry=\"22\"/>\n",
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"<text text-anchor=\"middle\" x=\"277\" y=\"-58.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">0</text>\n",
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"</g>\n",
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"<!-- 2->0 -->\n",
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"<g id=\"edge5\" class=\"edge\">\n",
|
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"<title>2->0</title>\n",
|
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"<path fill=\"none\" stroke=\"#ff4da0\" stroke-width=\"2\" d=\"M73.8043,-66.4087C102.797,-73.0076 161.9993,-84.0634 212,-78 224.3248,-76.5054 237.6823,-73.472 249.0644,-70.4443\"/>\n",
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"<text text-anchor=\"start\" x=\"190.5\" y=\"-82.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">c</text>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<g id=\"node4\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"#e31a1c\" stroke-width=\"2\" cx=\"194\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"start\" x=\"189.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<g id=\"edge6\" class=\"edge\">\n",
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"<title>2->1</title>\n",
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"<path fill=\"none\" stroke=\"#ff4da0\" stroke-width=\"2\" d=\"M73.1988,-56.5163C97.4739,-48.7764 141.9077,-34.6091 169.5907,-25.7827\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-53.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a & b & !c</text>\n",
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"</g>\n",
|
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"<!-- 0->0 -->\n",
|
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"<g id=\"edge2\" class=\"edge\">\n",
|
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"<title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"#000000\" d=\"M269.3173,-82.9908C268.3688,-93.0872 270.9297,-102 277,-102 281.5527,-102 284.1314,-96.9866 284.7361,-90.2204\"/>\n",
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"<polygon fill=\"#000000\" stroke=\"#000000\" points=\"284.6827,-82.9908 287.8844,-89.9673 284.7086,-86.4907 284.7345,-89.9906 284.7345,-89.9906 284.7345,-89.9906 284.7086,-86.4907 281.5846,-90.0139 284.6827,-82.9908 284.6827,-82.9908\"/>\n",
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"<text text-anchor=\"start\" x=\"272.5\" y=\"-105.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
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"</g>\n",
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"<!-- 1->0 -->\n",
|
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"<g id=\"edge3\" class=\"edge\">\n",
|
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"<title>1->0</title>\n",
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"<path fill=\"none\" stroke=\"#ff4da0\" stroke-width=\"2\" d=\"M210.0032,-26.4836C221.6622,-32.6643 237.7048,-41.1688 251.1684,-48.3062\"/>\n",
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"<polygon fill=\"#ff4da0\" stroke=\"#ff4da0\" stroke-width=\"2\" points=\"257.5402,-51.684 249.8801,-51.1884 254.2136,-50.4864 251.1213,-48.847 251.3555,-48.4053 251.5897,-47.9635 254.682,-49.6028 252.8309,-45.6221 257.5402,-51.684 257.5402,-51.684\"/>\n",
|
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"<text text-anchor=\"start\" x=\"230\" y=\"-43.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">c</text>\n",
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|
"</g>\n",
|
|
"<!-- 1->1 -->\n",
|
|
"<g id=\"edge4\" class=\"edge\">\n",
|
|
"<title>1->1</title>\n",
|
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"<path fill=\"none\" stroke=\"#000000\" d=\"M187.2664,-35.0373C185.8922,-44.8579 188.1367,-54 194,-54 198.3975,-54 200.7594,-48.8576 201.0858,-42.1433\"/>\n",
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"<polygon fill=\"#000000\" stroke=\"#000000\" points=\"200.7336,-35.0373 204.2263,-41.8728 200.9069,-38.533 201.0802,-42.0287 201.0802,-42.0287 201.0802,-42.0287 200.9069,-38.533 197.934,-42.1847 200.7336,-35.0373 200.7336,-35.0373\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"175.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">b & !c</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
|
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],
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"text/plain": [
|
|
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a44f3f090> >"
|
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]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
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|
}
|
|
],
|
|
"source": [
|
|
"a.highlight_states([False, True, True], 5)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Saving to HOA 1.1\n",
|
|
"\n",
|
|
"When saving to HOA format, the highlighting is only output if version 1.1 of the format is selected, because the headers `spot.highlight.edges` and `spot.highlight.states` contain dots, which are disallowed in version 1. Compare these two outputs:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"HOA: v1\n",
|
|
"States: 3\n",
|
|
"Start: 2\n",
|
|
"AP: 3 \"a\" \"b\" \"c\"\n",
|
|
"acc-name: Buchi\n",
|
|
"Acceptance: 1 Inf(0)\n",
|
|
"properties: trans-labels explicit-labels state-acc deterministic\n",
|
|
"properties: stutter-invariant terminal\n",
|
|
"--BODY--\n",
|
|
"State: 0 {0}\n",
|
|
"[t] 0\n",
|
|
"State: 1\n",
|
|
"[2] 0\n",
|
|
"[1&!2] 1\n",
|
|
"State: 2\n",
|
|
"[2] 0\n",
|
|
"[!0&1&!2] 1\n",
|
|
"[0&!2] 2\n",
|
|
"--END--\n",
|
|
"\n",
|
|
"HOA: v1.1\n",
|
|
"States: 3\n",
|
|
"Start: 2\n",
|
|
"AP: 3 \"a\" \"b\" \"c\"\n",
|
|
"acc-name: Buchi\n",
|
|
"Acceptance: 1 Inf(0)\n",
|
|
"properties: trans-labels explicit-labels state-acc !complete\n",
|
|
"properties: deterministic stutter-invariant terminal\n",
|
|
"spot.highlight.states: 0 0 1 5 2 5\n",
|
|
"spot.highlight.edges: 2 1 4 1 5 1 6 2\n",
|
|
"--BODY--\n",
|
|
"State: 0 {0}\n",
|
|
"[t] 0\n",
|
|
"State: 1\n",
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"[2] 0\n",
|
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"[1&!2] 1\n",
|
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"State: 2\n",
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"[2] 0\n",
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"[!0&1&!2] 1\n",
|
|
"[0&!2] 2\n",
|
|
"--END--\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(a.to_str('HOA', '1'))\n",
|
|
"print()\n",
|
|
"print(a.to_str('HOA', '1.1'))"
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|
]
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|
},
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|
{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
|
"# Highlighting a run\n",
|
|
"\n",
|
|
"One use of this highlighting is to highlight a run in an automaton.\n",
|
|
"\n",
|
|
"The following few command generate an automaton, then an accepting run on this automaton, and highlight that accepting run on the automaton. Note that a run knows the automaton from which it was generated, so calling `highlight()` will directly decorate that automaton."
|
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]
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},
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{
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],
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"text/plain": [
|
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a44eec0c0> >"
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]
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},
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"execution_count": 8,
|
|
"metadata": {},
|
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"output_type": "execute_result"
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}
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],
|
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"source": [
|
|
"b = spot.translate('X (F(Ga <-> b) & GF!b)'); b"
|
|
]
|
|
},
|
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{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
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"metadata": {},
|
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"outputs": [
|
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{
|
|
"data": {
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|
"text/plain": [
|
|
"Prefix:\n",
|
|
" 4\n",
|
|
" | 1\n",
|
|
" 0\n",
|
|
" | !a & !b\n",
|
|
"Cycle:\n",
|
|
" 1\n",
|
|
" | !b\t{0}"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"r = b.accepting_run(); r"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"r.highlight(5) # the parameter is a color number"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The call of `highlight(5)` on the accepting run `r` modified the original automaton `b`:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
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"metadata": {},
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"outputs": [
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"source": [
|
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"# Highlighting from a product\n",
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"\n",
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"Pretty often, accepting runs are found in a product but we want to display them on one of the original automata. This can be done by projecting the runs on those automata before displaying them."
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]
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},
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]
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},
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"run.highlight(5)\n",
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"# guess it. The left-side is assumed unless you pass True as a second argument.\n",
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"source": [
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]
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},
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{
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"metadata": {},
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"source": [
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"The projection also works for products generated on-the-fly, but the on-the-fly product itself cannot be highlighted (it does not store states or transitions). "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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" | a\t{0}\n",
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" 1 * 0\n",
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" | a & b\t{0}\n",
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"Cycle:\n",
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" 1 * 4\n",
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" | a\t{0,1}"
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]
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"</g>\n",
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"<text text-anchor=\"middle\" x=\"177.5\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a44e7cdb0> >"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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|
}
|
|
],
|
|
"source": [
|
|
"left2 = spot.translate('!b & FG a')\n",
|
|
"right2 = spot.translate('XXXb')\n",
|
|
"prod2 = spot.otf_product(left2, right2) # Note \"otf_product()\"\n",
|
|
"run2 = prod2.accepting_run()\n",
|
|
"run2.project(left2).highlight(5)\n",
|
|
"run2.project(right2, True).highlight(5)\n",
|
|
"display(run2, prod2, left2, right2)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Highlighting nondeterminism\n",
|
|
"\n",
|
|
"Sometimes its is hard to locate non-deterministic states inside a large automaton. Here are two functions that can help for that."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
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"data": {
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"<title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"#33a02c\" stroke-width=\"2\" d=\"M129.9688,-121.6641C128.4063,-131.625 130.75,-141 137,-141 141.6875,-141 144.1777,-135.7266 144.4707,-128.8876\"/>\n",
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"<text text-anchor=\"start\" x=\"123.5\" y=\"-144.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a | b</text>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<g id=\"node4\" class=\"node\">\n",
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"<title>1</title>\n",
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"<text text-anchor=\"middle\" x=\"360\" y=\"-125.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<path fill=\"none\" stroke=\"#000000\" d=\"M144.8384,-121.309C157.9792,-146.5059 187.0932,-193.9758 228,-213 273.4887,-234.1551 322.045,-181.0667 345.5673,-149.848\"/>\n",
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"<text text-anchor=\"start\" x=\"228\" y=\"-220.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a & !b</text>\n",
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"<!-- 2 -->\n",
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"<g id=\"node5\" class=\"node\">\n",
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"<title>2</title>\n",
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"<text text-anchor=\"middle\" x=\"248.5\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">2</text>\n",
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"</g>\n",
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"<!-- 0->2 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
|
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"<title>0->2</title>\n",
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"<path fill=\"none\" stroke=\"#33a02c\" stroke-width=\"2\" d=\"M155.412,-105C173.9217,-105 202.5942,-105 223.2267,-105\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"174.5\" y=\"-108.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & b</text>\n",
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"</g>\n",
|
|
"<!-- 3 -->\n",
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"<g id=\"node6\" class=\"node\">\n",
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"<title>3</title>\n",
|
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"<text text-anchor=\"middle\" x=\"248.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">3</text>\n",
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"</g>\n",
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"<!-- 0->3 -->\n",
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"<g id=\"edge5\" class=\"edge\">\n",
|
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"<title>0->3</title>\n",
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"<path fill=\"none\" stroke=\"#33a02c\" stroke-width=\"2\" d=\"M151.5767,-93.6263C171.301,-78.236 206.5611,-50.7236 228.6783,-33.4662\"/>\n",
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|
|
"<text text-anchor=\"start\" x=\"173\" y=\"-79.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & !b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->1 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\">\n",
|
|
"<title>1->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"#000000\" d=\"M355.1797,-146.4099C354.28,-156.0879 355.8867,-165 360,-165 363.0207,-165 364.6896,-160.1936 365.0067,-153.8073\"/>\n",
|
|
"<polygon fill=\"#000000\" stroke=\"#000000\" points=\"364.8203,-146.4099 368.1457,-153.3283 364.9085,-149.9088 364.9967,-153.4077 364.9967,-153.4077 364.9967,-153.4077 364.9085,-149.9088 361.8477,-153.4871 364.8203,-146.4099 364.8203,-146.4099\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"353.5\" y=\"-183.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!b</text>\n",
|
|
"<text text-anchor=\"start\" x=\"352\" y=\"-168.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->1 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
|
|
"<title>1->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"#000000\" d=\"M352.7325,-145.5959C347.2416,-166.8633 349.6641,-195 360,-195 369.2458,-195 372.1594,-172.4854 368.7408,-152.5132\"/>\n",
|
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"<polygon fill=\"#000000\" stroke=\"#000000\" points=\"367.2675,-145.5959 371.8066,-151.7861 367.9966,-149.0191 368.7257,-152.4423 368.7257,-152.4423 368.7257,-152.4423 367.9966,-149.0191 365.6448,-153.0985 367.2675,-145.5959 367.2675,-145.5959\"/>\n",
|
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"<text text-anchor=\"start\" x=\"355.5\" y=\"-198.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->2 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
|
"<title>2->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"#000000\" d=\"M243.5012,-122.4099C242.5681,-132.0879 244.2344,-141 248.5,-141 251.6326,-141 253.3633,-136.1936 253.6921,-129.8073\"/>\n",
|
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"<polygon fill=\"#000000\" stroke=\"#000000\" points=\"253.4988,-122.4099 256.8307,-129.3252 253.5903,-125.9087 253.6818,-129.4075 253.6818,-129.4075 253.6818,-129.4075 253.5903,-125.9087 250.5329,-129.4899 253.4988,-122.4099 253.4988,-122.4099\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"230\" y=\"-159.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & !b</text>\n",
|
|
"<text text-anchor=\"start\" x=\"240.5\" y=\"-144.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->2 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\">\n",
|
|
"<title>2->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"#000000\" d=\"M240.9634,-121.5959C235.269,-142.8633 237.7813,-171 248.5,-171 258.0883,-171 261.1098,-148.4854 257.5645,-128.5132\"/>\n",
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"<polygon fill=\"#000000\" stroke=\"#000000\" points=\"256.0366,-121.5959 260.6223,-127.7517 256.7915,-125.0135 257.5464,-128.4311 257.5464,-128.4311 257.5464,-128.4311 256.7915,-125.0135 254.4706,-129.1106 256.0366,-121.5959 256.0366,-121.5959\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"231.5\" y=\"-174.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->1 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\">\n",
|
|
"<title>3->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"#000000\" d=\"M261.2905,-30.7331C281.0962,-50.4501 319.2564,-88.4391 341.8888,-110.9701\"/>\n",
|
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"<polygon fill=\"#000000\" stroke=\"#000000\" points=\"347.0153,-116.0735 339.832,-113.3672 344.5348,-113.6042 342.0544,-111.1348 342.0544,-111.1348 342.0544,-111.1348 344.5348,-113.6042 344.2768,-108.9024 347.0153,-116.0735 347.0153,-116.0735\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"287\" y=\"-96.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a & b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\">\n",
|
|
"<title>3->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"#000000\" d=\"M238.9254,-33.5414C236.2303,-43.9087 239.4219,-54 248.5,-54 255.4504,-54 258.9503,-48.0847 258.9995,-40.6591\"/>\n",
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"<text text-anchor=\"start\" x=\"231.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & b</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
|
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],
|
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"text/plain": [
|
|
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a44e7cea0> >"
|
|
]
|
|
},
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"b = spot.translate('X (F(Ga <-> b) & GF!b)')\n",
|
|
"spot.highlight_nondet_states(b, 5)\n",
|
|
"spot.highlight_nondet_edges(b, 4)\n",
|
|
"b"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
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"metadata": {},
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"source": [
|
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"# Disappearing highlights\n",
|
|
"\n",
|
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"As explained at the top of this notebook, named properties (such as highlights) are fragile, and you should not really on them being preserved across algorithms. In-place algorithm are probably the worst, because they might modify the automaton and ignore the attached named properties. \n",
|
|
"\n",
|
|
"`randomize()` is one such in-place algorithm: it reorder states or transitions of the automaton. By doing so it renumber the states and edges, and that process would completely invalidate the highlights information. Fortunately `randomize()` know about highlights: it will preserve highlighted states, but it will drop all highlighted edges."
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"spot.randomize(b); b"
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"source": [
|
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"# Highlighting with partial output\n",
|
|
"\n",
|
|
"For simplicity, rendering of partial automata is actually implemented by copying the original automaton and marking some states as \"incomplete\". This also allows the same display code to work with automata generated on-the-fly. However since there is a copy, propagating the highlighting information requires extra work. Let's make sure it has been done:"
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"</g>\n",
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"</g>\n",
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"<!-- 4->0 -->\n",
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"<g id=\"edge12\" class=\"edge\">\n",
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"<path fill=\"none\" stroke=\"#33a02c\" stroke-width=\"2\" d=\"M153.4522,-112.5252C172.4744,-121.226 203.9159,-135.6073 225.3876,-145.4284\"/>\n",
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"<text text-anchor=\"start\" x=\"174.5\" y=\"-141.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a & b</text>\n",
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"</g>\n",
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"<title>4->1</title>\n",
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"<text text-anchor=\"start\" x=\"228\" y=\"-90.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a & !b</text>\n",
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"</g>\n",
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"</g>\n",
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"<!-- 4->4 -->\n",
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"<g id=\"edge10\" class=\"edge\">\n",
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"<text text-anchor=\"start\" x=\"123.5\" y=\"-144.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a | b</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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]
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},
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"metadata": {},
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{
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"<!-- I->0 -->\n",
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"</g>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
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"<g class=\"edge\" id=\"edge7\">\n",
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"<title>2->2</title>\n",
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"<title>2->2</title>\n",
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"<title>3->3</title>\n",
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"</svg>"
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"data": {
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"<!-- I->0 -->\n",
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"</g>\n",
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"</g>\n",
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"<!-- 1->u1 -->\n",
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"<g class=\"edge\" id=\"edge3\">\n",
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"<title>1->u1</title>\n",
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"<path d=\"M155.2228,-18C164.2871,-18 175.2737,-18 184.6169,-18\" fill=\"none\" stroke=\"#000000\" stroke-dasharray=\"5,2\"/>\n",
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"</g>\n",
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"</g>\n",
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"</svg>"
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],
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"metadata": {},
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"output_type": "display_data"
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}
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],
|
|
"source": [
|
|
"spot.highlight_nondet_edges(b, 4) # let's get those highlighted edges back\n",
|
|
"display(b, b.show('.<4'), b.show('.<2'))"
|
|
]
|
|
},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
|
"# Highlighting languages\n",
|
|
"\n",
|
|
"For deterministic automata, the function `spot.highlight_languages()` can be used to highlight states that recognize the same language. This can be a great help in reading automata. States with a colored border share their language, and states with a black border all have a language different from all other states."
|
|
]
|
|
},
|
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{
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"cell_type": "code",
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"execution_count": 21,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/svg+xml": [
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"457\" y=\"-375.8\">)</text>\n",
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"</g>\n",
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"</g>\n",
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"<title>cluster_2</title>\n",
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"</g>\n",
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"<title>cluster_3</title>\n",
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"</g>\n",
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"<title>cluster_4</title>\n",
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"</g>\n",
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"<!-- I -->\n",
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"<!-- 0 -->\n",
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"<g class=\"node\" id=\"node2\">\n",
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"<title>0</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-124.3\">0</text>\n",
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"</g>\n",
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"<!-- I->0 -->\n",
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"<g class=\"edge\" id=\"edge1\">\n",
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"<title>I->0</title>\n",
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"<path d=\"M1.1233,-128C4.178,-128 17.9448,-128 30.9241,-128\" fill=\"none\" stroke=\"#000000\"/>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<title>1</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"490\" y=\"-171.3\">1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g class=\"edge\" id=\"edge2\">\n",
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"<title>0->1</title>\n",
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"<path d=\"M74.1292,-128C95.7601,-128 133.0191,-128 165,-128 165,-128 165,-128 377,-128 411.229,-128 447.1265,-146.6121 469.0379,-160.4116\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"230.5\" y=\"-131.8\">!a & !b</text>\n",
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"</g>\n",
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"<!-- 2 -->\n",
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"<g class=\"node\" id=\"node7\">\n",
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"<title>2</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"165\" y=\"-213.3\">2</text>\n",
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"</g>\n",
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"<!-- 0->2 -->\n",
|
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"<g class=\"edge\" id=\"edge3\">\n",
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"<title>0->2</title>\n",
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"<path d=\"M70.2498,-139.6352C89.426,-155.2928 123.6231,-183.2152 145.2652,-200.8863\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-188.8\">!a & b</text>\n",
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"</g>\n",
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"<!-- 3 -->\n",
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"<g class=\"node\" id=\"node9\">\n",
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"<title>3</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"165\" y=\"-30.3\">3</text>\n",
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"</g>\n",
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"<!-- 0->3 -->\n",
|
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"<g class=\"edge\" id=\"edge4\">\n",
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"<title>0->3</title>\n",
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"<path d=\"M69.8049,-116.0948C89.0516,-99.4968 124.0302,-69.3318 145.8063,-50.5524\" fill=\"none\" stroke=\"#000000\"/>\n",
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"</g>\n",
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"<!-- 4 -->\n",
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"<g class=\"node\" id=\"node3\">\n",
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"<title>4</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"569\" y=\"-230.3\">4</text>\n",
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"</g>\n",
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"<!-- 6 -->\n",
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|
"<g class=\"node\" id=\"node4\">\n",
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"<title>6</title>\n",
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"<ellipse cx=\"695\" cy=\"-221\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#ff4da0\" stroke-width=\"2\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"695\" y=\"-217.3\">6</text>\n",
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"</g>\n",
|
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"<!-- 4->6 -->\n",
|
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"<g class=\"edge\" id=\"edge11\">\n",
|
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"<title>4->6</title>\n",
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"<path d=\"M586.6825,-229.1951C597.3921,-226.5227 611.3779,-223.4509 624,-222 639.0867,-220.2658 656.0943,-219.969 669.6807,-220.1279\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"626.5\" y=\"-225.8\">!c</text>\n",
|
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"</g>\n",
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"<!-- 7 -->\n",
|
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"<g class=\"node\" id=\"node5\">\n",
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|
"<title>7</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"846\" y=\"-236.3\">7</text>\n",
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"</g>\n",
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"<!-- 4->7 -->\n",
|
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"<g class=\"edge\" id=\"edge12\">\n",
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"<title>4->7</title>\n",
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"<path d=\"M576.4064,-217.5184C586.186,-198.5557 605.339,-170 632,-170 632,-170 632,-170 770.5,-170 799.0099,-170 821.302,-197.1731 834.057,-217.6591\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"837.7056,-223.7646 831.4108,-219.3717 835.9102,-220.7602 834.1147,-217.7558 834.1147,-217.7558 834.1147,-217.7558 835.9102,-220.7602 836.8187,-216.1399 837.7056,-223.7646 837.7056,-223.7646\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"691.5\" y=\"-173.8\">c</text>\n",
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"</g>\n",
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"<!-- 6->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge16\">\n",
|
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"<title>6->4</title>\n",
|
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"<path d=\"M677.9355,-227.3217C667.2121,-230.9521 652.9954,-235.1481 640,-237 624.8508,-239.1588 607.7148,-238.5215 594.0732,-237.2908\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"586.8888,-236.56 594.1717,-234.1346 590.3708,-236.9142 593.8529,-237.2685 593.8529,-237.2685 593.8529,-237.2685 590.3708,-236.9142 593.5341,-240.4023 586.8888,-236.56 586.8888,-236.56\" stroke=\"#000000\"/>\n",
|
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"625.5\" y=\"-256.8\">!b</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"624\" y=\"-241.8\">⓿</text>\n",
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"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
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"<g class=\"edge\" id=\"edge17\">\n",
|
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"<title>6->6</title>\n",
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"<path d=\"M688.6208,-238.0373C687.3189,-247.8579 689.4453,-257 695,-257 699.166,-257 701.4036,-251.8576 701.7128,-245.1433\" fill=\"none\" stroke=\"#000000\"/>\n",
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"</g>\n",
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"<!-- 6->7 -->\n",
|
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"<g class=\"edge\" id=\"edge18\">\n",
|
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"<title>6->7</title>\n",
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"<path d=\"M713.1301,-221.5548C732.4942,-222.326 764.0424,-224.0965 791,-228 801.02,-229.4509 811.9369,-231.6926 821.384,-233.8474\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"753.5\" y=\"-231.8\">b & c</text>\n",
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"</g>\n",
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"<!-- 7->4 -->\n",
|
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"<g class=\"edge\" id=\"edge19\">\n",
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"<title>7->4</title>\n",
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"<path d=\"M837.3792,-256.1151C825.3165,-276.2236 801.3706,-308 770.5,-308 632,-308 632,-308 632,-308 605.0884,-308 587.2554,-279.2741 577.6349,-257.6175\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"690.5\" y=\"-326.8\">b</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"687\" y=\"-311.8\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->6 -->\n",
|
|
"<g class=\"edge\" id=\"edge20\">\n",
|
|
"<title>7->6</title>\n",
|
|
"<path d=\"M828.1204,-242.8876C808.6992,-245.4858 776.8532,-248.1715 750,-243 739.0051,-240.8826 727.4143,-236.587 717.7231,-232.3489\" fill=\"none\" stroke=\"#000000\"/>\n",
|
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"<polygon fill=\"#000000\" points=\"711.3479,-229.4515 719.024,-229.4801 714.5343,-230.8997 717.7206,-232.3479 717.7206,-232.3479 717.7206,-232.3479 714.5343,-230.8997 716.4173,-235.2156 711.3479,-229.4515 711.3479,-229.4515\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"750\" y=\"-248.8\">!b & !c</text>\n",
|
|
"</g>\n",
|
|
"<!-- 7->7 -->\n",
|
|
"<g class=\"edge\" id=\"edge21\">\n",
|
|
"<title>7->7</title>\n",
|
|
"<path d=\"M839.6208,-257.0373C838.3189,-266.8579 840.4453,-276 846,-276 850.166,-276 852.4036,-270.8576 852.7128,-264.1433\" fill=\"none\" stroke=\"#000000\"/>\n",
|
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"<polygon fill=\"#000000\" points=\"852.3792,-257.0373 855.8541,-263.8818 852.5434,-260.5335 852.7076,-264.0296 852.7076,-264.0296 852.7076,-264.0296 852.5434,-260.5335 849.561,-264.1774 852.3792,-257.0373 852.3792,-257.0373\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"827.5\" y=\"-279.8\">!b & c</text>\n",
|
|
"</g>\n",
|
|
"<!-- 1->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge5\">\n",
|
|
"<title>1->4</title>\n",
|
|
"<path d=\"M505.306,-185.3002C513.6004,-190.9762 523.9712,-198.2264 533,-205 538.4689,-209.1029 544.2844,-213.6864 549.6103,-217.9764\" fill=\"none\" stroke=\"#000000\"/>\n",
|
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"<polygon fill=\"#000000\" points=\"555.1578,-222.4796 547.7377,-220.5134 552.4404,-220.2737 549.723,-218.0678 549.723,-218.0678 549.723,-218.0678 552.4404,-220.2737 551.7083,-215.6221 555.1578,-222.4796 555.1578,-222.4796\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"526\" y=\"-208.8\">a</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge8\">\n",
|
|
"<title>2->4</title>\n",
|
|
"<path d=\"M169.9131,-234.5127C179.7482,-265.3245 204.9605,-326 251,-326 251,-326 251,-326 490,-326 525.9049,-326 549.032,-285.1685 560.4711,-257.9093\" fill=\"none\" stroke=\"#000000\"/>\n",
|
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"<polygon fill=\"#000000\" points=\"563.1282,-251.3045 563.438,-258.9744 561.8219,-254.5516 560.5156,-257.7987 560.5156,-257.7987 560.5156,-257.7987 561.8219,-254.5516 557.5932,-256.623 563.1282,-251.3045 563.1282,-251.3045\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"373.5\" y=\"-329.8\">a</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->1 -->\n",
|
|
"<g class=\"edge\" id=\"edge6\">\n",
|
|
"<title>2->1</title>\n",
|
|
"<path d=\"M182.9363,-214.6821C237.5383,-207.6258 401.836,-186.3935 464.9394,-178.2386\" fill=\"none\" stroke=\"#000000\"/>\n",
|
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"<polygon fill=\"#000000\" points=\"472.1191,-177.3108 465.5806,-181.332 468.648,-177.7594 465.1768,-178.208 465.1768,-178.208 465.1768,-178.208 468.648,-177.7594 464.7731,-175.084 472.1191,-177.3108 472.1191,-177.3108\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"300\" y=\"-202.8\">!a & !b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->2 -->\n",
|
|
"<g class=\"edge\" id=\"edge7\">\n",
|
|
"<title>2->2</title>\n",
|
|
"<path d=\"M158.6208,-234.0373C157.3189,-243.8579 159.4453,-253 165,-253 169.166,-253 171.4036,-247.8576 171.7128,-241.1433\" fill=\"none\" stroke=\"#000000\"/>\n",
|
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"<polygon fill=\"#000000\" points=\"171.3792,-234.0373 174.8541,-240.8818 171.5434,-237.5335 171.7076,-241.0296 171.7076,-241.0296 171.7076,-241.0296 171.5434,-237.5335 168.561,-241.1774 171.3792,-234.0373 171.3792,-234.0373\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"132\" y=\"-256.8\">!a & b & !c</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g class=\"node\" id=\"node8\">\n",
|
|
"<title>5</title>\n",
|
|
"<ellipse cx=\"377\" cy=\"-226\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#1f78b4\" stroke-width=\"2\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"377\" y=\"-222.3\">5</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->5 -->\n",
|
|
"<g class=\"edge\" id=\"edge9\">\n",
|
|
"<title>2->5</title>\n",
|
|
"<path d=\"M183.075,-217.7673C220.9374,-219.3747 308.6456,-223.0982 351.924,-224.9355\" fill=\"none\" stroke=\"#000000\"/>\n",
|
|
"<polygon fill=\"#000000\" points=\"358.9707,-225.2346 351.8434,-228.0848 355.4739,-225.0861 351.977,-224.9376 351.977,-224.9376 351.977,-224.9376 355.4739,-225.0861 352.1107,-221.7904 358.9707,-225.2346 358.9707,-225.2346\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"220\" y=\"-224.8\">!a & b & c</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->4 -->\n",
|
|
"<g class=\"edge\" id=\"edge15\">\n",
|
|
"<title>5->4</title>\n",
|
|
"<path d=\"M395.0629,-226.7526C429.3694,-228.1821 504.0395,-231.2933 543.4547,-232.9356\" fill=\"none\" stroke=\"#000000\"/>\n",
|
|
"<polygon fill=\"#000000\" points=\"550.8452,-233.2436 543.7201,-236.0993 547.3483,-233.0978 543.8513,-232.952 543.8513,-232.952 543.8513,-232.952 547.3483,-233.0978 543.9825,-229.8048 550.8452,-233.2436 550.8452,-233.2436\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"486.5\" y=\"-234.8\">a</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->1 -->\n",
|
|
"<g class=\"edge\" id=\"edge13\">\n",
|
|
"<title>5->1</title>\n",
|
|
"<path d=\"M392.481,-216.2542C398.7338,-212.5082 406.0931,-208.3347 413,-205 430.3661,-196.6156 450.7234,-188.7653 466.1434,-183.1996\" fill=\"none\" stroke=\"#000000\"/>\n",
|
|
"<polygon fill=\"#000000\" points=\"472.8523,-180.8094 467.3154,-186.126 469.5553,-181.9841 466.2583,-183.1587 466.2583,-183.1587 466.2583,-183.1587 469.5553,-181.9841 465.2011,-180.1914 472.8523,-180.8094 472.8523,-180.8094\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"413\" y=\"-208.8\">!a & !b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g class=\"edge\" id=\"edge14\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<path d=\"M359.3975,-230.8141C330.1706,-238.0861 269.9042,-250.0143 220,-240 208.7869,-237.7499 197.0066,-233.157 187.2379,-228.6631\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"180.8281,-225.5977 188.5021,-225.776 183.9856,-227.1078 187.1431,-228.6178 187.1431,-228.6178 187.1431,-228.6178 183.9856,-227.1078 185.7841,-231.4596 180.8281,-225.5977 180.8281,-225.5977\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"232.5\" y=\"-261.8\">!a & b</text>\n",
|
|
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"243\" y=\"-246.8\">⓿</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
|
"<g class=\"edge\" id=\"edge10\">\n",
|
|
"<title>3->3</title>\n",
|
|
"<path d=\"M158.6208,-51.0373C157.3189,-60.8579 159.4453,-70 165,-70 169.166,-70 171.4036,-64.8576 171.7128,-58.1433\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"171.3792,-51.0373 174.8541,-57.8818 171.5434,-54.5335 171.7076,-58.0296 171.7076,-58.0296 171.7076,-58.0296 171.5434,-54.5335 168.561,-58.1774 171.3792,-51.0373 171.3792,-51.0373\" stroke=\"#000000\"/>\n",
|
|
"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"160.5\" y=\"-88.8\">1</text>\n",
|
|
"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"157\" y=\"-73.8\">⓿</text>\n",
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"</g>\n",
|
|
"</g>\n",
|
|
"</svg>"
|
|
],
|
|
"text/plain": [
|
|
"<IPython.core.display.SVG object>"
|
|
]
|
|
},
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"aut = spot.translate('(b W Xa) & GF(c <-> Xb) | a', 'generic', 'det')\n",
|
|
"spot.highlight_languages(aut)\n",
|
|
"aut.show('.bas')"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.6.6"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|