2072151499
This improves the determinism in a few cases. * spot/twa/twagraph.cc (merge_edges): Encapsulate the two passes into lambdas so that they are very easy to swap. * spot/twa/twagraph.hh (merge_edges): Adjust documentation. * tests/python/mergedge.py: Add test case. * tests/core/alternating.test, tests/python/alternation.ipynb: Determinism was improved. * tests/core/parity2.test, tests/core/readsave.test, tests/core/sbacc.test, tests/python/_product_susp.ipynb, tests/python/atva16-fig2a.ipynb, tests/python/decompose.ipynb, tests/python/highlighting.ipynb, tests/python/satmin.ipynb, tests/python/simstate.py: Adjust expected order of edges. * NEWS: Mention the change.
3623 lines
239 KiB
Text
3623 lines
239 KiB
Text
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
|
|
"import spot\n",
|
|
"spot.setup()\n",
|
|
"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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"source": [
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"a.show('.#')"
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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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"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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"text/plain": [
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]
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},
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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",
|
|
"\n",
|
|
"They modify the automaton in place."
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]
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},
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{
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"cell_type": "code",
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"<!-- Pages: 1 -->\n",
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"<svg width=\"305pt\" height=\"165pt\"\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"38.5\" y=\"-101.8\" font-family=\"Lato\" font-size=\"14.00\">a & !c</text>\n",
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"</g>\n",
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"</g>\n",
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"<g id=\"edge5\" class=\"edge\">\n",
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"<title>2->0</title>\n",
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"<text text-anchor=\"start\" x=\"188.5\" y=\"-82.8\" font-family=\"Lato\" font-size=\"14.00\">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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"</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=\"M73.43,-56.6C97.04,-48.85 140.68,-34.52 167.63,-25.67\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-53.8\" font-family=\"Lato\" font-size=\"14.00\">!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=\"black\" d=\"M267.32,-82.99C266.37,-93.09 268.93,-102 275,-102 279.55,-102 282.13,-96.99 282.74,-90.22\"/>\n",
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"<text text-anchor=\"start\" x=\"270.5\" y=\"-105.8\" font-family=\"Lato\" font-size=\"14.00\">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=\"M208.24,-26.28C219.74,-32.52 235.76,-41.23 249.11,-48.48\"/>\n",
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"<text text-anchor=\"start\" x=\"228\" y=\"-43.8\" font-family=\"Lato\" font-size=\"14.00\">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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"<path fill=\"none\" stroke=\"black\" d=\"M185.27,-35.04C183.89,-44.86 186.14,-54 192,-54 196.4,-54 198.76,-48.86 199.09,-42.14\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"198.73,-35.04 202.23,-41.87 198.91,-38.53 199.08,-42.03 199.08,-42.03 199.08,-42.03 198.91,-38.53 195.93,-42.18 198.73,-35.04 198.73,-35.04\"/>\n",
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"<text text-anchor=\"start\" x=\"174\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\">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 0x7efc2002e2a0> >"
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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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{
|
|
"cell_type": "code",
|
|
"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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"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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"<!-- Generated by graphviz version 2.43.0 (0)\n",
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" -->\n",
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"<!-- Pages: 1 -->\n",
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"<svg width=\"305pt\" height=\"165pt\"\n",
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" viewBox=\"0.00 0.00 305.00 164.80\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<g id=\"graph0\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 160.8)\">\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-160.8 301,-160.8 301,4 -4,4\"/>\n",
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"<text text-anchor=\"start\" x=\"127\" y=\"-126.6\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<!-- I -->\n",
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"<!-- 2 -->\n",
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"<g id=\"node2\" class=\"node\">\n",
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"<title>2</title>\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-58.3\" font-family=\"Lato\" font-size=\"14.00\">2</text>\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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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-62C2.79,-62 17.15,-62 30.63,-62\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-62 30.94,-65.15 34.44,-62 30.94,-62 30.94,-62 30.94,-62 34.44,-62 30.94,-58.85 37.94,-62 37.94,-62\"/>\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=\"M49.62,-79.04C48.32,-88.86 50.45,-98 56,-98 60.17,-98 62.4,-92.86 62.71,-86.14\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"38.5\" y=\"-101.8\" font-family=\"Lato\" font-size=\"14.00\">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=\"275\" cy=\"-62\" rx=\"18\" ry=\"18\"/>\n",
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"<ellipse fill=\"none\" stroke=\"#1f78b4\" stroke-width=\"2\" cx=\"275\" cy=\"-62\" rx=\"22\" ry=\"22\"/>\n",
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"<text text-anchor=\"middle\" x=\"275\" y=\"-58.3\" font-family=\"Lato\" font-size=\"14.00\">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=\"M73.55,-66.19C101.64,-72.75 160.43,-84.1 210,-78 222.33,-76.48 235.7,-73.38 247.02,-70.3\"/>\n",
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"<polygon fill=\"#ff4da0\" stroke=\"#ff4da0\" stroke-width=\"2\" points=\"253.78,-68.41 247.89,-73.33 250.54,-69.83 247.17,-70.78 247.04,-70.3 246.9,-69.82 250.27,-68.87 246.18,-67.27 253.78,-68.41 253.78,-68.41\"/>\n",
|
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"<text text-anchor=\"start\" x=\"188.5\" y=\"-82.8\" font-family=\"Lato\" font-size=\"14.00\">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=\"192\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"start\" x=\"187.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\">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=\"M73.43,-56.6C97.04,-48.85 140.68,-34.52 167.63,-25.67\"/>\n",
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"<polygon fill=\"#ff4da0\" stroke=\"#ff4da0\" stroke-width=\"2\" points=\"174.43,-23.44 168.77,-28.62 171.27,-25.01 167.94,-26.1 167.78,-25.62 167.63,-25.15 170.95,-24.06 166.8,-22.63 174.43,-23.44 174.43,-23.44\"/>\n",
|
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"<text text-anchor=\"start\" x=\"92\" y=\"-53.8\" font-family=\"Lato\" font-size=\"14.00\">!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=\"black\" d=\"M267.32,-82.99C266.37,-93.09 268.93,-102 275,-102 279.55,-102 282.13,-96.99 282.74,-90.22\"/>\n",
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"<text text-anchor=\"start\" x=\"270.5\" y=\"-105.8\" font-family=\"Lato\" font-size=\"14.00\">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=\"M208.24,-26.28C219.74,-32.52 235.76,-41.23 249.11,-48.48\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"228\" y=\"-43.8\" font-family=\"Lato\" font-size=\"14.00\">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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"<path fill=\"none\" stroke=\"black\" d=\"M185.27,-35.04C183.89,-44.86 186.14,-54 192,-54 196.4,-54 198.76,-48.86 199.09,-42.14\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"174\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\">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 0x7efc20027d80> >"
|
|
]
|
|
},
|
|
"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",
|
|
"[2] 0\n",
|
|
"[1&!2] 1\n",
|
|
"State: 2\n",
|
|
"[2] 0\n",
|
|
"[!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'))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"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."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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"image/svg+xml": [
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"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
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"source": [
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"b = spot.translate('X (F(Ga <-> b) & GF!b)'); b"
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"text": [
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"Prefix:\n",
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" 4\n",
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" | 1\n",
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" 0\n",
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" | !a & !b\n",
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" 1\n",
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"\n"
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]
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}
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"source": [
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"r = b.accepting_run(); print(r)"
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]
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"source": [
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"r.highlight(5) # the parameter is a color number"
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"source": [
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"The call of `highlight(5)` on the accepting run `r` modified the original automaton `b`:"
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"source": [
|
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"# Highlighting an accepting run in an automaton with arbitrary acceptance\n",
|
|
"\n",
|
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"This is not as easy as finding accepting runs in (generalized) Büchi automata, so let's have a few example for testing."
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]
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},
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{
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"cell_type": "code",
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"outputs": [
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"</g>\n",
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"<!-- 1->8 -->\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"<text text-anchor=\"start\" x=\"449.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"465.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\">) & (Inf(</text>\n",
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"<text text-anchor=\"start\" x=\"511.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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"<text text-anchor=\"start\" x=\"527.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\">) | Inf(</text>\n",
|
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"<text text-anchor=\"start\" x=\"563.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
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"<text text-anchor=\"start\" x=\"579.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\">))) | (Fin(</text>\n",
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"<text text-anchor=\"start\" x=\"628.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
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"<text text-anchor=\"start\" x=\"644.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\">)|Fin(</text>\n",
|
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"<text text-anchor=\"start\" x=\"675.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"<text text-anchor=\"start\" x=\"691.5\" y=\"-293.8\" font-family=\"Lato\" font-size=\"14.00\">)))</text>\n",
|
|
"<!-- I -->\n",
|
|
"<!-- 0 -->\n",
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|
"<g id=\"node2\" class=\"node\">\n",
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"<title>0</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"56\" cy=\"-175\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-171.3\" font-family=\"Lato\" font-size=\"14.00\">0</text>\n",
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|
"</g>\n",
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"<!-- I->0 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-175C2.79,-175 17.15,-175 30.63,-175\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-175 30.94,-178.15 34.44,-175 30.94,-175 30.94,-175 30.94,-175 34.44,-175 30.94,-171.85 37.94,-175 37.94,-175\"/>\n",
|
|
"</g>\n",
|
|
"<!-- 8 -->\n",
|
|
"<g id=\"node3\" class=\"node\">\n",
|
|
"<title>8</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"284\" cy=\"-104\" rx=\"18\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"284\" y=\"-100.3\" font-family=\"Lato\" font-size=\"14.00\">8</text>\n",
|
|
"</g>\n",
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"<!-- 0->8 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
|
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"<title>0->8</title>\n",
|
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"<path fill=\"none\" stroke=\"#e31a1c\" stroke-width=\"2\" d=\"M70.12,-163.74C86.62,-150.3 116.38,-128.34 146,-118 183.92,-104.77 231.07,-102.87 259,-103.13\"/>\n",
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"<polygon fill=\"#e31a1c\" stroke=\"#e31a1c\" stroke-width=\"2\" points=\"266.01,-103.25 258.96,-106.28 262.5,-103.69 259,-103.63 259.01,-103.13 259.02,-102.63 262.52,-102.69 259.06,-99.98 266.01,-103.25 266.01,-103.25\"/>\n",
|
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"<text text-anchor=\"start\" x=\"148\" y=\"-136.8\" font-family=\"Lato\" font-size=\"14.00\">a & b</text>\n",
|
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"<text text-anchor=\"start\" x=\"156\" y=\"-121.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
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"</g>\n",
|
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"<!-- 6 -->\n",
|
|
"<g id=\"node4\" class=\"node\">\n",
|
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"<title>6</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"164\" cy=\"-175\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"164\" y=\"-171.3\" font-family=\"Lato\" font-size=\"14.00\">6</text>\n",
|
|
"</g>\n",
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"<!-- 0->6 -->\n",
|
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"<g id=\"edge3\" class=\"edge\">\n",
|
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"<title>0->6</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M74.03,-175C91.47,-175 118.74,-175 138.49,-175\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"145.66,-175 138.66,-178.15 142.16,-175 138.66,-175 138.66,-175 138.66,-175 142.16,-175 138.66,-171.85 145.66,-175 145.66,-175\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-193.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
|
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"<text text-anchor=\"start\" x=\"102\" y=\"-178.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
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"</g>\n",
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"<!-- 3 -->\n",
|
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"<g id=\"node8\" class=\"node\">\n",
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"<title>3</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"392\" cy=\"-67\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"392\" y=\"-63.3\" font-family=\"Lato\" font-size=\"14.00\">3</text>\n",
|
|
"</g>\n",
|
|
"<!-- 8->3 -->\n",
|
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"<g id=\"edge17\" class=\"edge\">\n",
|
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"<title>8->3</title>\n",
|
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"<path fill=\"none\" stroke=\"#e31a1c\" stroke-width=\"2\" d=\"M301.56,-98.22C319.38,-92 347.83,-82.07 367.86,-75.08\"/>\n",
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"<polygon fill=\"#e31a1c\" stroke=\"#e31a1c\" stroke-width=\"2\" points=\"374.55,-72.74 368.98,-78.02 371.41,-74.37 368.11,-75.52 367.94,-75.05 367.78,-74.58 371.08,-73.42 366.91,-72.07 374.55,-72.74 374.55,-72.74\"/>\n",
|
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"<text text-anchor=\"start\" x=\"320\" y=\"-107.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
|
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"<text text-anchor=\"start\" x=\"322\" y=\"-93.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
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"<text text-anchor=\"start\" x=\"338\" y=\"-93.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->8 -->\n",
|
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"<g id=\"edge13\" class=\"edge\">\n",
|
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"<title>6->8</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M175.8,-160.94C182.19,-153.36 190.81,-144.3 200,-138 210.1,-131.08 239.1,-119.83 259.98,-112.19\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"266.71,-109.74 261.2,-115.09 263.42,-110.94 260.13,-112.13 260.13,-112.13 260.13,-112.13 263.42,-110.94 259.05,-109.17 266.71,-109.74 266.71,-109.74\"/>\n",
|
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"<text text-anchor=\"start\" x=\"206\" y=\"-155.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
|
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"<text text-anchor=\"start\" x=\"200\" y=\"-141.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"216\" y=\"-141.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
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"<text text-anchor=\"start\" x=\"232\" y=\"-141.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
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|
"</g>\n",
|
|
"<!-- 7 -->\n",
|
|
"<g id=\"node10\" class=\"node\">\n",
|
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"<title>7</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"600\" cy=\"-180\" rx=\"18\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"600\" y=\"-176.3\" font-family=\"Lato\" font-size=\"14.00\">7</text>\n",
|
|
"</g>\n",
|
|
"<!-- 6->7 -->\n",
|
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"<g id=\"edge14\" class=\"edge\">\n",
|
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"<title>6->7</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M182.19,-176.18C205.15,-177.66 247.12,-180 283,-180 283,-180 283,-180 497,-180 523.5,-180 553.86,-180 574.53,-180\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"581.67,-180 574.67,-183.15 578.17,-180 574.67,-180 574.67,-180 574.67,-180 578.17,-180 574.67,-176.85 581.67,-180 581.67,-180\"/>\n",
|
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"<text text-anchor=\"start\" x=\"374\" y=\"-198.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b</text>\n",
|
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"<text text-anchor=\"start\" x=\"384\" y=\"-183.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
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|
"</g>\n",
|
|
"<!-- 1 -->\n",
|
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"<g id=\"node5\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"816\" cy=\"-180\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"816\" y=\"-176.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- 9 -->\n",
|
|
"<g id=\"node6\" class=\"node\">\n",
|
|
"<title>9</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"936\" cy=\"-131\" rx=\"18\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"936\" y=\"-127.3\" font-family=\"Lato\" font-size=\"14.00\">9</text>\n",
|
|
"</g>\n",
|
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"<!-- 1->9 -->\n",
|
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"<g id=\"edge4\" class=\"edge\">\n",
|
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"<title>1->9</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M834.06,-178.84C851.46,-177.09 878.83,-172.73 900,-162 906.38,-158.77 912.52,-154.08 917.82,-149.34\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"923.22,-144.22 920.3,-151.32 920.68,-146.63 918.13,-149.04 918.13,-149.04 918.13,-149.04 920.68,-146.63 915.97,-146.75 923.22,-144.22 923.22,-144.22\"/>\n",
|
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"<text text-anchor=\"start\" x=\"858\" y=\"-193.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b</text>\n",
|
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"<text text-anchor=\"start\" x=\"852\" y=\"-179.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
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"<text text-anchor=\"start\" x=\"868\" y=\"-179.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
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"<text text-anchor=\"start\" x=\"884\" y=\"-179.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->1 -->\n",
|
|
"<g id=\"edge19\" class=\"edge\">\n",
|
|
"<title>9->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M918.63,-125.81C901.07,-121.24 872.87,-116.89 852,-128 840.47,-134.14 832.05,-145.96 826.37,-156.78\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"823.18,-163.33 823.41,-155.66 824.71,-160.18 826.24,-157.04 826.24,-157.04 826.24,-157.04 824.71,-160.18 829.08,-158.42 823.18,-163.33 823.18,-163.33\"/>\n",
|
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"<text text-anchor=\"start\" x=\"860\" y=\"-146.8\" font-family=\"Lato\" font-size=\"14.00\">a & b</text>\n",
|
|
"<text text-anchor=\"start\" x=\"868\" y=\"-131.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#33a02c\">❹</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->3 -->\n",
|
|
"<g id=\"edge18\" class=\"edge\">\n",
|
|
"<title>9->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M923.8,-117.59C904.43,-96.02 862.39,-56 817,-56 495,-56 495,-56 495,-56 468.19,-56 437.65,-59.8 417.03,-62.94\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"409.9,-64.05 416.33,-59.86 413.36,-63.51 416.82,-62.97 416.82,-62.97 416.82,-62.97 413.36,-63.51 417.31,-66.08 409.9,-64.05 409.9,-64.05\"/>\n",
|
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"<text text-anchor=\"start\" x=\"636\" y=\"-73.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b</text>\n",
|
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"<text text-anchor=\"start\" x=\"638\" y=\"-59.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
|
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"<text text-anchor=\"start\" x=\"654\" y=\"-59.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5 -->\n",
|
|
"<g id=\"node11\" class=\"node\">\n",
|
|
"<title>5</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"1044\" cy=\"-203\" rx=\"18\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"1044\" y=\"-199.3\" font-family=\"Lato\" font-size=\"14.00\">5</text>\n",
|
|
"</g>\n",
|
|
"<!-- 9->5 -->\n",
|
|
"<g id=\"edge20\" class=\"edge\">\n",
|
|
"<title>9->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M951.3,-140.71C969.71,-153.22 1001.83,-175.03 1022.75,-189.24\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1028.59,-193.21 1021.03,-191.89 1025.7,-191.25 1022.8,-189.28 1022.8,-189.28 1022.8,-189.28 1025.7,-191.25 1024.57,-186.67 1028.59,-193.21 1028.59,-193.21\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"972\" y=\"-195.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
|
|
"<text text-anchor=\"start\" x=\"982\" y=\"-180.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2 -->\n",
|
|
"<g id=\"node7\" class=\"node\">\n",
|
|
"<title>2</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"708\" cy=\"-180\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"708\" y=\"-176.3\" font-family=\"Lato\" font-size=\"14.00\">2</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->1 -->\n",
|
|
"<g id=\"edge5\" class=\"edge\">\n",
|
|
"<title>2->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M726.03,-180C743.47,-180 770.74,-180 790.49,-180\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"797.66,-180 790.66,-183.15 794.16,-180 790.66,-180 790.66,-180 790.66,-180 794.16,-180 790.66,-176.85 797.66,-180 797.66,-180\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"744\" y=\"-183.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\">\n",
|
|
"<title>3->3</title>\n",
|
|
"<path fill=\"none\" stroke=\"#e31a1c\" stroke-width=\"2\" d=\"M383.02,-82.92C380.68,-93.15 383.67,-103 392,-103 398.38,-103 401.63,-97.23 401.75,-89.93\"/>\n",
|
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"<polygon fill=\"#e31a1c\" stroke=\"#e31a1c\" stroke-width=\"2\" points=\"400.98,-82.92 404.87,-89.53 401.86,-86.34 402.24,-89.82 401.74,-89.87 401.24,-89.93 400.86,-86.45 398.61,-90.22 400.98,-82.92 400.98,-82.92\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"374\" y=\"-121.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
|
|
"<text text-anchor=\"start\" x=\"384\" y=\"-106.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4 -->\n",
|
|
"<g id=\"node9\" class=\"node\">\n",
|
|
"<title>4</title>\n",
|
|
"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"496\" cy=\"-123\" rx=\"18\" ry=\"18\"/>\n",
|
|
"<text text-anchor=\"middle\" x=\"496\" y=\"-119.3\" font-family=\"Lato\" font-size=\"14.00\">4</text>\n",
|
|
"</g>\n",
|
|
"<!-- 3->4 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
|
|
"<title>3->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M408.05,-75.26C425.38,-84.78 453.97,-100.47 473.6,-111.25\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"479.89,-114.7 472.24,-114.1 476.82,-113.02 473.75,-111.33 473.75,-111.33 473.75,-111.33 476.82,-113.02 475.27,-108.57 479.89,-114.7 479.89,-114.7\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"428\" y=\"-120.8\" font-family=\"Lato\" font-size=\"14.00\">a & b</text>\n",
|
|
"<text text-anchor=\"start\" x=\"428\" y=\"-106.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#6a3d9a\">❸</text>\n",
|
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"<text text-anchor=\"start\" x=\"444\" y=\"-106.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#e31a1c\">❺</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->0 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\">\n",
|
|
"<title>4->0</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M489.06,-139.97C476.65,-171.96 444.77,-238 393,-238 163,-238 163,-238 163,-238 128.91,-238 120.52,-227.66 92,-209 85.41,-204.69 78.99,-199.02 73.48,-193.55\"/>\n",
|
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"<polygon fill=\"black\" stroke=\"black\" points=\"68.31,-188.21 75.44,-191.05 70.74,-190.72 73.18,-193.24 73.18,-193.24 73.18,-193.24 70.74,-190.72 70.91,-195.43 68.31,-188.21 68.31,-188.21\"/>\n",
|
|
"<text text-anchor=\"start\" x=\"266\" y=\"-255.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b</text>\n",
|
|
"<text text-anchor=\"start\" x=\"268\" y=\"-241.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
|
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"<text text-anchor=\"start\" x=\"284\" y=\"-241.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->9 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\">\n",
|
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"<title>4->9</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M514.08,-121.88C519.78,-121.55 526.16,-121.21 532,-121 674.15,-115.83 709.76,-117.11 852,-116 873.33,-115.83 879.1,-111.71 900,-116 904.42,-116.91 908.97,-118.4 913.27,-120.09\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"919.76,-122.88 912.08,-123.01 916.54,-121.5 913.33,-120.12 913.33,-120.12 913.33,-120.12 916.54,-121.5 914.57,-117.22 919.76,-122.88 919.76,-122.88\"/>\n",
|
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"<text text-anchor=\"start\" x=\"690\" y=\"-134.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
|
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"<text text-anchor=\"start\" x=\"700\" y=\"-119.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff7f00\">❷</text>\n",
|
|
"</g>\n",
|
|
"<!-- 4->7 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
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"<title>4->7</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M514.13,-123.1C528.41,-123.9 548.8,-126.78 564,-136 573.04,-141.49 580.7,-150.21 586.53,-158.45\"/>\n",
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7efc2002e570> >"
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]
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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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],
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"source": [
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"def show_accrun(string):\n",
|
|
" aut = spot.automaton(string)\n",
|
|
" run = aut.accepting_run()\n",
|
|
" run.highlight(5)\n",
|
|
" display(aut)\n",
|
|
"\n",
|
|
"show_accrun(\"\"\"\n",
|
|
"HOA: v1 States: 10 Start: 0 AP: 2 \"a\" \"b\" Acceptance: 5 (Inf(1) | (Fin(0)\n",
|
|
"& Inf(4)) | Fin(2)) & Fin(3) properties: trans-labels explicit-labels\n",
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"trans-acc --BODY-- State: 0 [0&1] 9 {3} [!0&!1] 0 {3} [0&!1] 5 {0 1} State:\n",
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"1 [0&!1] 9 {4} [0&1] 8 {3} State: 2 [!0&!1] 8 {0} [!0&1] 6 {2 4} [0&1]\n",
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"2 {3} [!0&1] 7 State: 3 [0&!1] 2 {0 4} [!0&!1] 3 {1 3} [!0&1] 4 {0} State: 4\n",
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"[0&!1] 5 {2} [0&1] 0 [!0&1] 1 {0} State: 5 [!0&!1] 0 {3} [!0&!1] 6 {3} State: 6\n",
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"[0&1] 3 {2} [!0&1] 1 [0&1] 2 {0 1 3 4} State: 7 [0&1] 1 [!0&1] 7 {0 2}\n",
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"State: 8 [!0&1] 7 [!0&!1] 9 {0} State: 9 [0&1] 8 {3} [0&!1] 5 [0&!1]\n",
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"1 --END--\n",
|
|
"\"\"\")\n",
|
|
"show_accrun(\"\"\"\n",
|
|
"HOA: v1 States: 10 Start: 0 AP: 2 \"a\" \"b\" Acceptance: 6 Fin(5) &\n",
|
|
"((Fin(1) & (Inf(3) | Inf(4))) | Fin(0) | Fin(2)) properties: trans-labels\n",
|
|
"explicit-labels trans-acc --BODY-- State: 0 [0&1] 8 {0} [0&!1] 6 {2}\n",
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|
"State: 1 [!0&1] 9 {0 4 5} State: 2 [!0&1] 1 State: 3 [0&!1] 3 {2}\n",
|
|
"[0&1] 4 {3 5} State: 4 [0&1] 7 {5} [0&!1] 9 {2} [!0&1] 0 {0 2} State:\n",
|
|
"5 [!0&1] 1 [!0&1] 3 {2 3} State: 6 [0&!1] 8 {1 2 5} [!0&1] 7 {3} State:\n",
|
|
"7 [0&1] 2 {0} [!0&1] 5 State: 8 [0&!1] 3 {4 5} State: 9 [!0&1] 3 {1 2}\n",
|
|
"[0&1] 1 {4} [0&!1] 5 {2} --END--\"\"\")\n",
|
|
"show_accrun(\"\"\"\n",
|
|
"HOA: v1 States: 4 properties: implicit-labels trans-labels no-univ-branch\n",
|
|
"deterministic complete tool: \"ltl2dstar\" \"0.5.4\" name: \"i G F a G F b\"\n",
|
|
"comment: \"Union{Safra[NBA=2],Safra[NBA=2]}\" acc-name: Rabin 2 Acceptance:\n",
|
|
"4 (Fin(0)&Inf(1))|(Fin(2)&Inf(3)) Start: 0 AP: 2 \"a\" \"b\" --BODY-- State:\n",
|
|
"0 {0} 1 0 3 2 State: 1 {1} 1 0 3 2 State: 2 {0 3} 1 0 3 2 State: 3 {1 3}\n",
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|
"1 0 3 2 --END--\n",
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"\"\"\")"
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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 from a product\n",
|
|
"\n",
|
|
"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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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"left = spot.translate('a U b')\n",
|
|
"right = spot.translate('GFa')\n",
|
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"display(left, right)"
|
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]
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},
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{
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"cell_type": "code",
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]
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},
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"execution_count": 14,
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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": [
|
|
"prod = spot.product(left, right); prod"
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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": 15,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
|
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"Prefix:\n",
|
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" 1,0\n",
|
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" | !a & b\n",
|
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"Cycle:\n",
|
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" 0,0\n",
|
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" | a\t{0}\n",
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"\n"
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]
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|
}
|
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],
|
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"source": [
|
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"run = prod.accepting_run(); print(run)"
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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": 16,
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"metadata": {},
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"outputs": [],
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"source": [
|
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"run.highlight(5)\n",
|
|
"# Note that by default project() needs to know on which side you project, but it cannot \n",
|
|
"# guess it. The left-side is assumed unless you pass True as a second argument.\n",
|
|
"run.project(left).highlight(5)\n",
|
|
"run.project(right, True).highlight(5)"
|
|
]
|
|
},
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{
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"cell_type": "code",
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"execution_count": 17,
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"metadata": {},
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"outputs": [
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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 0x7efc2002e6c0> >"
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]
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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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],
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"source": [
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"display(prod, left, right)"
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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 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": 18,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"Prefix:\n",
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" 0 * 3\n",
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" | a & !b\n",
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" 1 * 2\n",
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" | a\t{0}\n",
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" 1 * 1\n",
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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}\n",
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"\n"
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]
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]
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},
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>2->1</title>\n",
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"<path fill=\"none\" stroke=\"#e31a1c\" stroke-width=\"2\" d=\"M155.14,-22C166.12,-22 180.52,-22 192.67,-22\"/>\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 0x7efc200448d0> >"
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]
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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": [
|
|
"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",
|
|
"print(run2)\n",
|
|
"display(prod2, left2, right2)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
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"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."
|
|
]
|
|
},
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|
{
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|
"cell_type": "code",
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|
"execution_count": 19,
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"metadata": {},
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"outputs": [
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{
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" viewBox=\"0.00 0.00 383.00 276.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<text text-anchor=\"start\" x=\"167\" y=\"-253.8\" font-family=\"Lato\" font-size=\"14.00\">Inf(</text>\n",
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"<text text-anchor=\"start\" x=\"188\" y=\"-253.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"<text text-anchor=\"start\" x=\"204\" y=\"-253.8\" font-family=\"Lato\" font-size=\"14.00\">)</text>\n",
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"<text text-anchor=\"start\" x=\"166\" y=\"-239.8\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<!-- I -->\n",
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"<!-- 4 -->\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\">4</text>\n",
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"</g>\n",
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"<!-- I->4 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-105C2.79,-105 17.15,-105 30.63,-105\"/>\n",
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"b = spot.translate('X (F(Ga <-> b) & GF!b)')\n",
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"# Disappearing highlights\n",
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"\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",
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"\n",
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"`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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"<path fill=\"none\" stroke=\"black\" d=\"M237.43,-33.54C234.73,-43.91 237.92,-54 247,-54 253.95,-54 257.45,-48.08 257.5,-40.66\"/>\n",
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"<text text-anchor=\"start\" x=\"231\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\">a & b</text>\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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"<title>4->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M153.47,-112.31C171.89,-121.01 202.8,-135.6 223.77,-145.5\"/>\n",
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"</g>\n",
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"<!-- 4->1 -->\n",
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"<g id=\"edge9\" class=\"edge\">\n",
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"<title>4->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M154.74,-101.7C193.18,-94.12 287.85,-75.44 332.27,-66.68\"/>\n",
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"<text text-anchor=\"start\" x=\"227\" y=\"-90.8\" font-family=\"Lato\" font-size=\"14.00\">!a & !b</text>\n",
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"</g>\n",
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"<title>4->2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M151.24,-93.92C157.77,-88.49 165.77,-81.87 173,-76 191.09,-61.32 211.91,-44.82 226.67,-33.18\"/>\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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"<title>4->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M129.97,-121.66C128.41,-131.62 130.75,-141 137,-141 141.69,-141 144.18,-135.73 144.47,-128.89\"/>\n",
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"<text text-anchor=\"start\" x=\"124\" y=\"-144.8\" font-family=\"Lato\" font-size=\"14.00\">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": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7efc20044f30> >"
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]
|
|
},
|
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"execution_count": 20,
|
|
"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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"spot.randomize(b); b"
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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 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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|
},
|
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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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"</g>\n",
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"</g>\n",
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"<g id=\"edge5\" class=\"edge\">\n",
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"<title>1->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M349.33,-78.31C344.37,-95.96 346.93,-116 357,-116 365.73,-116 368.82,-100.93 366.25,-85.42\"/>\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=\"black\" d=\"M263.94,-24.49C282.28,-31.97 312.55,-44.3 333.34,-52.77\"/>\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=\"black\" d=\"M237.43,-33.54C234.73,-43.91 237.92,-54 247,-54 253.95,-54 257.45,-48.08 257.5,-40.66\"/>\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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"<title>4->0</title>\n",
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"<path fill=\"none\" stroke=\"#33a02c\" stroke-width=\"2\" d=\"M153.47,-112.31C171.89,-121.01 202.8,-135.6 223.77,-145.5\"/>\n",
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"<text text-anchor=\"start\" x=\"175\" y=\"-141.8\" font-family=\"Lato\" font-size=\"14.00\">a & b</text>\n",
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"</g>\n",
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"<!-- 4->1 -->\n",
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"<g id=\"edge9\" class=\"edge\">\n",
|
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"<title>4->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M154.74,-101.7C193.18,-94.12 287.85,-75.44 332.27,-66.68\"/>\n",
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"<text text-anchor=\"start\" x=\"227\" y=\"-90.8\" font-family=\"Lato\" font-size=\"14.00\">!a & !b</text>\n",
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"</g>\n",
|
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"<!-- 4->2 -->\n",
|
|
"<g id=\"edge11\" class=\"edge\">\n",
|
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"<title>4->2</title>\n",
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"<path fill=\"none\" stroke=\"#33a02c\" stroke-width=\"2\" d=\"M151.24,-93.92C157.77,-88.49 165.77,-81.87 173,-76 191.09,-61.32 211.91,-44.82 226.67,-33.18\"/>\n",
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|
"</g>\n",
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"<!-- 4->4 -->\n",
|
|
"<g id=\"edge10\" class=\"edge\">\n",
|
|
"<title>4->4</title>\n",
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"<path fill=\"none\" stroke=\"#33a02c\" stroke-width=\"2\" d=\"M129.97,-121.66C128.41,-131.62 130.75,-141 137,-141 141.69,-141 144.18,-135.73 144.47,-128.89\"/>\n",
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"</g>\n",
|
|
"</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 0x7efc20044f30> >"
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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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{
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}
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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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{
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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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},
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{
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"cell_type": "code",
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"execution_count": 22,
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"metadata": {},
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"outputs": [
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"<path fill=\"none\" stroke=\"black\" d=\"M70.86,-138.33C89.35,-152.11 122.2,-176.59 143.27,-192.29\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"149.14,-196.67 141.64,-195.01 146.33,-194.58 143.53,-192.49 143.53,-192.49 143.53,-192.49 146.33,-194.58 145.41,-189.96 149.14,-196.67 149.14,-196.67\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-182.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b</text>\n",
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"</g>\n",
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"<!-- 3 -->\n",
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"<g id=\"node9\" class=\"node\">\n",
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"<title>3</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"164\" cy=\"-34\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"164\" y=\"-30.3\" font-family=\"Lato\" font-size=\"14.00\">3</text>\n",
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"</g>\n",
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"<!-- 0->3 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>0->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M70,-116.47C88.67,-99.91 123.19,-69.3 144.52,-50.39\"/>\n",
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"<text text-anchor=\"start\" x=\"106.5\" y=\"-98.8\" font-family=\"Lato\" font-size=\"14.00\">a</text>\n",
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"</g>\n",
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"<!-- 4 -->\n",
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"<g id=\"node3\" class=\"node\">\n",
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"<title>4</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"#ff4da0\" stroke-width=\"2\" cx=\"491\" cy=\"-237\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"491\" y=\"-233.3\" font-family=\"Lato\" font-size=\"14.00\">4</text>\n",
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"</g>\n",
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"<!-- 6 -->\n",
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"<g id=\"node4\" class=\"node\">\n",
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"<title>6</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"#ff4da0\" stroke-width=\"2\" cx=\"579\" cy=\"-231\" rx=\"18\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"579\" y=\"-227.3\" font-family=\"Lato\" font-size=\"14.00\">6</text>\n",
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"</g>\n",
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"<!-- 4->6 -->\n",
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"<g id=\"edge11\" class=\"edge\">\n",
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"<title>4->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M506.72,-227.46C512.75,-224.08 519.96,-220.7 527,-219 536.35,-216.74 546.67,-218.39 555.58,-221.11\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"562.36,-223.47 554.72,-224.15 559.06,-222.32 555.75,-221.17 555.75,-221.17 555.75,-221.17 559.06,-222.32 556.78,-218.2 562.36,-223.47 562.36,-223.47\"/>\n",
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"<text text-anchor=\"start\" x=\"529.5\" y=\"-222.8\" font-family=\"Lato\" font-size=\"14.00\">!c</text>\n",
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"</g>\n",
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"<!-- 7 -->\n",
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"<g id=\"node5\" class=\"node\">\n",
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"<title>7</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"#ff4da0\" stroke-width=\"2\" cx=\"691\" cy=\"-236\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"691\" y=\"-232.3\" font-family=\"Lato\" font-size=\"14.00\">7</text>\n",
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"</g>\n",
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"<!-- 4->7 -->\n",
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"<g id=\"edge12\" class=\"edge\">\n",
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"<title>4->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M504.43,-224.76C517.34,-212.99 538.72,-195.99 561,-189 600.42,-176.64 645.59,-202.56 670.66,-220.59\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"676.58,-224.97 669.08,-223.34 673.77,-222.89 670.95,-220.81 670.95,-220.81 670.95,-220.81 673.77,-222.89 672.83,-218.28 676.58,-224.97 676.58,-224.97\"/>\n",
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"<text text-anchor=\"start\" x=\"575.5\" y=\"-192.8\" font-family=\"Lato\" font-size=\"14.00\">c</text>\n",
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"</g>\n",
|
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"<!-- 6->4 -->\n",
|
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"<g id=\"edge16\" class=\"edge\">\n",
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"<title>6->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M560.92,-232.56C555.22,-233.05 548.84,-233.58 543,-234 534.24,-234.63 524.63,-235.22 516.14,-235.71\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"509.01,-236.11 515.82,-232.58 512.5,-235.92 516,-235.72 516,-235.72 516,-235.72 512.5,-235.92 516.17,-238.87 509.01,-236.11 509.01,-236.11\"/>\n",
|
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"<text text-anchor=\"start\" x=\"529\" y=\"-253.8\" font-family=\"Lato\" font-size=\"14.00\">!b</text>\n",
|
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"<text text-anchor=\"start\" x=\"527\" y=\"-238.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"</g>\n",
|
|
"<!-- 6->6 -->\n",
|
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"<g id=\"edge17\" class=\"edge\">\n",
|
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"<title>6->6</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M571.33,-247.29C569.48,-257.39 572.04,-267 579,-267 584.22,-267 586.96,-261.59 587.23,-254.63\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"586.67,-247.29 590.34,-254.03 586.93,-250.78 587.2,-254.27 587.2,-254.27 587.2,-254.27 586.93,-250.78 584.06,-254.51 586.67,-247.29 586.67,-247.29\"/>\n",
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"<text text-anchor=\"start\" x=\"561\" y=\"-270.8\" font-family=\"Lato\" font-size=\"14.00\">b & !c</text>\n",
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"</g>\n",
|
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"<!-- 6->7 -->\n",
|
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"<g id=\"edge18\" class=\"edge\">\n",
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"<title>6->7</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M595.69,-223.82C601.61,-221.47 608.49,-219.17 615,-218 632.5,-214.86 637.72,-213.82 655,-218 659.73,-219.14 664.54,-221.05 669.01,-223.19\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"675.28,-226.46 667.62,-226.02 672.18,-224.84 669.07,-223.23 669.07,-223.23 669.07,-223.23 672.18,-224.84 670.53,-220.43 675.28,-226.46 675.28,-226.46\"/>\n",
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"<text text-anchor=\"start\" x=\"619\" y=\"-221.8\" font-family=\"Lato\" font-size=\"14.00\">b & c</text>\n",
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"</g>\n",
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"<!-- 7->4 -->\n",
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"<g id=\"edge19\" class=\"edge\">\n",
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"<title>7->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M676.58,-247.13C659.4,-260.59 628.12,-282.49 597,-291 565.54,-299.61 552.81,-288.93 527,-269 521.13,-264.47 515.07,-259.17 509.67,-254.2\"/>\n",
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"<text text-anchor=\"start\" x=\"575\" y=\"-312.8\" font-family=\"Lato\" font-size=\"14.00\">b</text>\n",
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"<text text-anchor=\"start\" x=\"571\" y=\"-297.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"</g>\n",
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"<!-- 7->6 -->\n",
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"<g id=\"edge20\" class=\"edge\">\n",
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"<title>7->6</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M672.72,-235.39C657.52,-234.84 634.78,-233.96 615,-233 611.53,-232.83 607.88,-232.64 604.29,-232.44\"/>\n",
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"<text text-anchor=\"start\" x=\"615\" y=\"-237.8\" font-family=\"Lato\" font-size=\"14.00\">!b & !c</text>\n",
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"</g>\n",
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"<!-- 7->7 -->\n",
|
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"<g id=\"edge21\" class=\"edge\">\n",
|
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"<title>7->7</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M681.43,-251.54C678.73,-261.91 681.92,-272 691,-272 697.95,-272 701.45,-266.08 701.5,-258.66\"/>\n",
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"</g>\n",
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"<!-- 1->4 -->\n",
|
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"<g id=\"edge5\" class=\"edge\">\n",
|
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"<title>1->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M427.18,-187.75C435.41,-193.5 445.91,-201 455,-208 460.42,-212.17 466.18,-216.84 471.43,-221.2\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"476.89,-225.76 469.49,-223.68 474.2,-223.51 471.51,-221.27 471.51,-221.27 471.51,-221.27 474.2,-223.51 473.54,-218.85 476.89,-225.76 476.89,-225.76\"/>\n",
|
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"<text text-anchor=\"start\" x=\"448\" y=\"-211.8\" font-family=\"Lato\" font-size=\"14.00\">a</text>\n",
|
|
"</g>\n",
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|
"<!-- 2->4 -->\n",
|
|
"<g id=\"edge8\" class=\"edge\">\n",
|
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"<title>2->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M170.32,-224.12C175.52,-237.63 184.9,-255.55 200,-264 288.51,-313.51 416.34,-268.87 467.55,-247.21\"/>\n",
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"<text text-anchor=\"start\" x=\"352.5\" y=\"-286.8\" font-family=\"Lato\" font-size=\"14.00\">a</text>\n",
|
|
"</g>\n",
|
|
"<!-- 2->1 -->\n",
|
|
"<g id=\"edge6\" class=\"edge\">\n",
|
|
"<title>2->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M181.63,-202.23C187.41,-200.7 193.95,-199.12 200,-198 266.82,-185.61 347.05,-180.69 386.56,-178.91\"/>\n",
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"<text text-anchor=\"start\" x=\"278\" y=\"-189.8\" font-family=\"Lato\" font-size=\"14.00\">!a & !b</text>\n",
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"</g>\n",
|
|
"<!-- 2->2 -->\n",
|
|
"<g id=\"edge7\" class=\"edge\">\n",
|
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"<title>2->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M154.77,-222.54C152.17,-232.91 155.25,-243 164,-243 170.7,-243 174.08,-237.08 174.12,-229.66\"/>\n",
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"<text text-anchor=\"start\" x=\"132\" y=\"-246.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b & !c</text>\n",
|
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"</g>\n",
|
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"<!-- 5 -->\n",
|
|
"<g id=\"node8\" class=\"node\">\n",
|
|
"<title>5</title>\n",
|
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"<ellipse fill=\"#ffffaa\" stroke=\"#1f78b4\" stroke-width=\"2\" cx=\"298\" cy=\"-231\" rx=\"18\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"298\" y=\"-227.3\" font-family=\"Lato\" font-size=\"14.00\">5</text>\n",
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|
"</g>\n",
|
|
"<!-- 2->5 -->\n",
|
|
"<g id=\"edge9\" class=\"edge\">\n",
|
|
"<title>2->5</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M181.87,-204.49C201.18,-202.22 233.55,-200.3 260,-208 266.05,-209.76 272.09,-212.82 277.48,-216.13\"/>\n",
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"<text text-anchor=\"start\" x=\"200\" y=\"-211.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b & c</text>\n",
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|
"</g>\n",
|
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"<!-- 5->4 -->\n",
|
|
"<g id=\"edge15\" class=\"edge\">\n",
|
|
"<title>5->4</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M316.29,-231.54C350.38,-232.61 426.36,-235 465.56,-236.23\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"472.89,-236.46 465.79,-239.39 469.39,-236.35 465.89,-236.24 465.89,-236.24 465.89,-236.24 469.39,-236.35 465.99,-233.09 472.89,-236.46 472.89,-236.46\"/>\n",
|
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"<text text-anchor=\"start\" x=\"408.5\" y=\"-238.8\" font-family=\"Lato\" font-size=\"14.00\">a</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->1 -->\n",
|
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"<g id=\"edge13\" class=\"edge\">\n",
|
|
"<title>5->1</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M313.42,-221.21C320.13,-216.88 328.31,-211.89 336,-208 352.88,-199.46 372.8,-191.59 387.87,-186.05\"/>\n",
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"<text text-anchor=\"start\" x=\"336\" y=\"-211.8\" font-family=\"Lato\" font-size=\"14.00\">!a & !b</text>\n",
|
|
"</g>\n",
|
|
"<!-- 5->2 -->\n",
|
|
"<g id=\"edge14\" class=\"edge\">\n",
|
|
"<title>5->2</title>\n",
|
|
"<path fill=\"none\" stroke=\"black\" d=\"M279.88,-231.36C260.26,-231.36 227.3,-230.13 200,-223 195.59,-221.85 191.04,-220.17 186.74,-218.33\"/>\n",
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"<text text-anchor=\"start\" x=\"212\" y=\"-248.8\" font-family=\"Lato\" font-size=\"14.00\">!a & b</text>\n",
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"<text text-anchor=\"start\" x=\"222\" y=\"-233.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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|
"</g>\n",
|
|
"<!-- 3->3 -->\n",
|
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"<g id=\"edge10\" class=\"edge\">\n",
|
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"<title>3->3</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M154.77,-49.54C152.17,-59.91 155.25,-70 164,-70 170.7,-70 174.08,-64.08 174.12,-56.66\"/>\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.jupyter.SVG object>"
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]
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},
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"execution_count": 22,
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|
"metadata": {},
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"output_type": "execute_result"
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|
}
|
|
],
|
|
"source": [
|
|
"aut = spot.translate('(b W Xa) & GF(c <-> Xb) | a', 'generic', 'det')\n",
|
|
"spot.highlight_languages(aut)\n",
|
|
"aut.show('.bas')"
|
|
]
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|
}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.9.1+"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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