0e71dd70c1
* spot/twaalgos/sccfilter.cc: If an inherently-weak automaton has no rejecting cycle, reduce its acceptance to t instead of Büchi. * spot/twa/acc.hh (operator==, operator<): Fix comparisons of true acceptances. * NEWS: Mention these two changes. * spot/twaalgos/sccfilter.hh: Update documentation. * spot/twaalgos/determinize.cc (tgba_determinize): The call to scc_filter assume that the input BA is never reduced to t acceptance. Call scc_filter with an extra option to ensure that. * spot/twaalgos/postproc.cc (do_scc_filter): Adjust to add the extra option when we want to build Büchi or coBuchi. (ensure_ba): Don't mark trivial SCCs as accepting. * tests/core/complement.test, tests/core/dstar.test, tests/core/ltlsynt.test, tests/core/readsave.test, tests/core/wdba2.test, tests/python/_product_susp.ipynb, tests/python/automata-io.ipynb, tests/python/dualize.py, tests/python/highlighting.ipynb, tests/python/intrun.py, tests/python/setacc.py, tests/python/simstate.py, tests/python/stutter-inv.ipynb, tests/python/zlktree.py: Adjust test cases.
1063 lines
50 KiB
Text
1063 lines
50 KiB
Text
{
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"cells": [
|
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{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
|
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"from IPython.display import display\n",
|
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"import spot\n",
|
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"spot.setup()"
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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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"# Converting automata to strings"
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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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"Use `to_str()` to output a string representing the automaton in different formats."
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|
]
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},
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{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
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"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
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"HOA: v1\n",
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"States: 2\n",
|
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"Start: 1\n",
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"AP: 2 \"a\" \"b\"\n",
|
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"acc-name: Buchi\n",
|
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"Acceptance: 1 Inf(0)\n",
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"properties: trans-labels explicit-labels state-acc deterministic\n",
|
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"properties: stutter-invariant terminal very-weak\n",
|
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"--BODY--\n",
|
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"State: 0 {0}\n",
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"[t] 0\n",
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"State: 1\n",
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"[1] 0\n",
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"[0&!1] 1\n",
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"--END--\n",
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"never {\n",
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"T0_init:\n",
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" if\n",
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" :: (b) -> goto accept_all\n",
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" :: ((a) && (!(b))) -> goto T0_init\n",
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" fi;\n",
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"accept_all:\n",
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" skip\n",
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"}\n",
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"\n",
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"digraph \"\" {\n",
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" rankdir=LR\n",
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" label=<[Büchi]>\n",
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" labelloc=\"t\"\n",
|
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" node [shape=\"circle\"]\n",
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" node [style=\"filled\", fillcolor=\"#ffffaa\"]\n",
|
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" fontname=\"Lato\"\n",
|
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" node [fontname=\"Lato\"]\n",
|
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" edge [fontname=\"Lato\"]\n",
|
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" size=\"10.13,5\" edge[arrowhead=vee, arrowsize=.7]\n",
|
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" I [label=\"\", style=invis, width=0]\n",
|
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" I -> 1\n",
|
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" 0 [label=<0>, peripheries=2]\n",
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" 0 -> 0 [label=<1>]\n",
|
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" 1 [label=<1>]\n",
|
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" 1 -> 0 [label=<b>]\n",
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" 1 -> 1 [label=<a & !b>]\n",
|
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"}\n",
|
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"\n",
|
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"2 1\n",
|
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"0 1 -1\n",
|
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"1 \"b\"\n",
|
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"0 & \"a\" ! \"b\"\n",
|
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"-1\n",
|
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"1 0 0 -1\n",
|
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"1 t\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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"a = spot.translate('a U b')\n",
|
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"for fmt in ('hoa', 'spin', 'dot', 'lbtt'):\n",
|
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" print(a.to_str(fmt))"
|
|
]
|
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},
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|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
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"source": [
|
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"# Saving automata to files"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Use `save()` to save the automaton into a file."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"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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"<!-- 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=\"170pt\" height=\"108pt\"\n",
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" viewBox=\"0.00 0.00 170.00 108.00\" 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(4 104)\">\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-104 166,-104 166,4 -4,4\"/>\n",
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"<text text-anchor=\"start\" x=\"59.5\" y=\"-84.8\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<!-- I -->\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- I->1 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-22C2.79,-22 17.15,-22 30.63,-22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-22 30.94,-25.15 34.44,-22 30.94,-22 30.94,-22 30.94,-22 34.44,-22 30.94,-18.85 37.94,-22 37.94,-22\"/>\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=\"M49.62,-39.04C48.32,-48.86 50.45,-58 56,-58 60.17,-58 62.4,-52.86 62.71,-46.14\"/>\n",
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"<text text-anchor=\"start\" x=\"38\" y=\"-61.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</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=\"none\" stroke=\"black\" cx=\"140\" cy=\"-22\" rx=\"22\" ry=\"22\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">0</text>\n",
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"</g>\n",
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"<!-- 1->0 -->\n",
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"<title>1->0</title>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\">b</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=\"M131.99,-42.58C130.89,-52.84 133.55,-62 140,-62 144.83,-62 147.54,-56.85 148.13,-49.95\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"148.01,-42.58 151.27,-49.53 148.06,-46.08 148.12,-49.58 148.12,-49.58 148.12,-49.58 148.06,-46.08 144.97,-49.63 148.01,-42.58 148.01,-42.58\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-65.8\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fc24c50bf00> >"
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|
]
|
|
},
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"a.save('example.aut').save('example.aut', format='lbtt', append=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"HOA: v1\r\n",
|
|
"States: 2\r\n",
|
|
"Start: 1\r\n",
|
|
"AP: 2 \"a\" \"b\"\r\n",
|
|
"acc-name: Buchi\r\n",
|
|
"Acceptance: 1 Inf(0)\r\n",
|
|
"properties: trans-labels explicit-labels state-acc deterministic\r\n",
|
|
"properties: stutter-invariant terminal very-weak\r\n",
|
|
"--BODY--\r\n",
|
|
"State: 0 {0}\r\n",
|
|
"[t] 0\r\n",
|
|
"State: 1\r\n",
|
|
"[1] 0\r\n",
|
|
"[0&!1] 1\r\n",
|
|
"--END--\r\n",
|
|
"2 1\r\n",
|
|
"0 1 -1\r\n",
|
|
"1 \"b\"\r\n",
|
|
"0 & \"a\" ! \"b\"\r\n",
|
|
"-1\r\n",
|
|
"1 0 0 -1\r\n",
|
|
"1 t\r\n",
|
|
"-1\r\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"!cat example.aut"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Reading automata from files"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Use `spot.automata()` to read multiple automata from a file, and `spot.automaton()` to read only one."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"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=\"170pt\" height=\"108pt\"\n",
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" viewBox=\"0.00 0.00 170.00 108.00\" 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(4 104)\">\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-104 166,-104 166,4 -4,4\"/>\n",
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"<text text-anchor=\"start\" x=\"59.5\" y=\"-84.8\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<!-- I -->\n",
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"<!-- 1 -->\n",
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"<g id=\"node2\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"56\" cy=\"-22\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- I->1 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-22C2.79,-22 17.15,-22 30.63,-22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-22 30.94,-25.15 34.44,-22 30.94,-22 30.94,-22 30.94,-22 34.44,-22 30.94,-18.85 37.94,-22 37.94,-22\"/>\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=\"M49.62,-39.04C48.32,-48.86 50.45,-58 56,-58 60.17,-58 62.4,-52.86 62.71,-46.14\"/>\n",
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"<text text-anchor=\"start\" x=\"38\" y=\"-61.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</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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"<text text-anchor=\"middle\" x=\"140\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">0</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=\"black\" d=\"M74.39,-22C84.9,-22 98.55,-22 110.6,-22\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\">b</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=\"M131.99,-42.58C130.89,-52.84 133.55,-62 140,-62 144.83,-62 147.54,-56.85 148.13,-49.95\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-65.8\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fc24c50b780> >"
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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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"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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" viewBox=\"0.00 0.00 170.00 108.00\" 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(4 104)\">\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-104 166,-104 166,4 -4,4\"/>\n",
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"<text text-anchor=\"start\" x=\"59.5\" y=\"-84.8\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<!-- I -->\n",
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|
"<!-- 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=\"-22\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-18.3\" 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,-22C2.79,-22 17.15,-22 30.63,-22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-22 30.94,-25.15 34.44,-22 30.94,-22 30.94,-22 30.94,-22 34.44,-22 30.94,-18.85 37.94,-22 37.94,-22\"/>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M49.62,-39.04C48.32,-48.86 50.45,-58 56,-58 60.17,-58 62.4,-52.86 62.71,-46.14\"/>\n",
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|
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"<text text-anchor=\"start\" x=\"38\" y=\"-61.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
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"</g>\n",
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"<!-- 1 -->\n",
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"<g id=\"node3\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"140\" cy=\"-22\" rx=\"18\" ry=\"18\"/>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"140\" cy=\"-22\" rx=\"22\" ry=\"22\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M74.39,-22C84.9,-22 98.55,-22 110.6,-22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"117.85,-22 110.85,-25.15 114.35,-22 110.85,-22 110.85,-22 110.85,-22 114.35,-22 110.85,-18.85 117.85,-22 117.85,-22\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\">b</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=\"M131.99,-42.58C130.89,-52.84 133.55,-62 140,-62 144.83,-62 147.54,-56.85 148.13,-49.95\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"148.01,-42.58 151.27,-49.53 148.06,-46.08 148.12,-49.58 148.12,-49.58 148.12,-49.58 148.06,-46.08 144.97,-49.63 148.01,-42.58 148.01,-42.58\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-65.8\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fc24c50bb70> >"
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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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}
|
|
],
|
|
"source": [
|
|
"for a in spot.automata('example.aut'):\n",
|
|
" display(a)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The `--ABORT--` feature of the HOA format allows discarding the automaton being read and starting over."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Overwriting example.aut\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"%%file example.aut\n",
|
|
"HOA: v1\n",
|
|
"States: 2\n",
|
|
"Start: 1\n",
|
|
"AP: 2 \"a\" \"b\"\n",
|
|
"acc-name: Buchi\n",
|
|
"Acceptance: 1 Inf(0)\n",
|
|
"--BODY--\n",
|
|
"State: 0 {0}\n",
|
|
"[t] 0\n",
|
|
"--ABORT-- /* the previous automaton should be ignored */\n",
|
|
"HOA: v1\n",
|
|
"States: 2\n",
|
|
"Start: 1\n",
|
|
"AP: 2 \"a\" \"b\"\n",
|
|
"Acceptance: 1 Inf(0)\n",
|
|
"--BODY--\n",
|
|
"State: 0 {0}\n",
|
|
"[t] 0\n",
|
|
"State: 1\n",
|
|
"[1] 0\n",
|
|
"[0&!1] 1\n",
|
|
"--END--"
|
|
]
|
|
},
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|
{
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|
"cell_type": "code",
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|
"execution_count": 7,
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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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" \"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=\"170pt\" height=\"108pt\"\n",
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" viewBox=\"0.00 0.00 170.00 108.00\" 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=\"59.5\" y=\"-84.8\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- I->1 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-22C2.79,-22 17.15,-22 30.63,-22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-22 30.94,-25.15 34.44,-22 30.94,-22 30.94,-22 30.94,-22 34.44,-22 30.94,-18.85 37.94,-22 37.94,-22\"/>\n",
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"</g>\n",
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"<!-- 1->1 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>1->1</title>\n",
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"<text text-anchor=\"start\" x=\"38\" y=\"-61.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">0</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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"<polygon fill=\"black\" stroke=\"black\" points=\"117.85,-22 110.85,-25.15 114.35,-22 110.85,-22 110.85,-22 110.85,-22 114.35,-22 110.85,-18.85 117.85,-22 117.85,-22\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\">b</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=\"M131.99,-42.58C130.89,-52.84 133.55,-62 140,-62 144.83,-62 147.54,-56.85 148.13,-49.95\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"148.01,-42.58 151.27,-49.53 148.06,-46.08 148.12,-49.58 148.12,-49.58 148.12,-49.58 148.06,-46.08 144.97,-49.63 148.01,-42.58 148.01,-42.58\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-65.8\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
|
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fc24c50be10> >"
|
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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": [
|
|
"for a in spot.automata('example.aut'):\n",
|
|
" display(a)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Reading automata from strings"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Instead of passing a filename, you can also pass the contents of a file. `spot.automata()` and `spot.automaton()` look for the absence of newline to decide if this is a filename or a string containing some actual automaton text."
|
|
]
|
|
},
|
|
{
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|
"cell_type": "code",
|
|
"execution_count": 8,
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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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"<!-- Title: Hello world Pages: 1 -->\n",
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"<svg width=\"170pt\" height=\"108pt\"\n",
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" viewBox=\"0.00 0.00 170.00 108.00\" 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(4 104)\">\n",
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"<title>Hello world</title>\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-104 166,-104 166,4 -4,4\"/>\n",
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"<text text-anchor=\"start\" x=\"59.5\" y=\"-84.8\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<!-- I -->\n",
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"<!-- 1 -->\n",
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"<g id=\"node2\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"#ffffaa\" stroke=\"black\" cx=\"56\" cy=\"-22\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"56\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- I->1 -->\n",
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"<g id=\"edge1\" class=\"edge\">\n",
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"<title>I->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1.15,-22C2.79,-22 17.15,-22 30.63,-22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-22 30.94,-25.15 34.44,-22 30.94,-22 30.94,-22 30.94,-22 34.44,-22 30.94,-18.85 37.94,-22 37.94,-22\"/>\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=\"M49.62,-39.04C48.32,-48.86 50.45,-58 56,-58 60.17,-58 62.4,-52.86 62.71,-46.14\"/>\n",
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"<text text-anchor=\"start\" x=\"38\" y=\"-61.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</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=\"black\" cx=\"140\" cy=\"-22\" rx=\"18\" ry=\"18\"/>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"140\" cy=\"-22\" rx=\"22\" ry=\"22\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">0</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=\"black\" d=\"M74.39,-22C84.9,-22 98.55,-22 110.6,-22\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\">b</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=\"M131.99,-42.58C130.89,-52.84 133.55,-62 140,-62 144.83,-62 147.54,-56.85 148.13,-49.95\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-65.8\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fc24c50b750> >"
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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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"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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"<!-- Title: Hello world 2 Pages: 1 -->\n",
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" viewBox=\"0.00 0.00 115.00 174.00\" 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(4 170)\">\n",
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"<title>Hello world 2</title>\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-170 111,-170 111,4 -4,4\"/>\n",
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"<text text-anchor=\"start\" x=\"8\" y=\"-151.8\" font-family=\"Lato\" font-size=\"14.00\">Inf(</text>\n",
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"<text text-anchor=\"start\" x=\"29\" y=\"-151.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"<text text-anchor=\"start\" x=\"45\" y=\"-151.8\" font-family=\"Lato\" font-size=\"14.00\">)&Inf(</text>\n",
|
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"<text text-anchor=\"start\" x=\"79\" y=\"-151.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"<text text-anchor=\"start\" x=\"95\" y=\"-151.8\" font-family=\"Lato\" font-size=\"14.00\">)</text>\n",
|
|
"<text text-anchor=\"start\" x=\"11\" y=\"-137.8\" font-family=\"Lato\" font-size=\"14.00\">[gen. Büchi 2]</text>\n",
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"<!-- I -->\n",
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"<!-- 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=\"72.5\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"72.5\" y=\"-14.3\" 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=\"M17.65,-18C19.29,-18 33.65,-18 47.13,-18\"/>\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=\"M69.26,-35.78C68.71,-45.31 69.79,-54 72.5,-54 74.49,-54 75.6,-49.32 75.83,-43.05\"/>\n",
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"<text text-anchor=\"start\" x=\"56.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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"<text text-anchor=\"start\" x=\"72.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M67.44,-35.59C64.06,-56.12 65.75,-82 72.5,-82 78.49,-82 80.49,-61.66 78.51,-42.73\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"77.56,-35.59 81.61,-42.12 78.03,-39.06 78.49,-42.53 78.49,-42.53 78.49,-42.53 78.03,-39.06 75.37,-42.95 77.56,-35.59 77.56,-35.59\"/>\n",
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"<text text-anchor=\"start\" x=\"54.5\" y=\"-100.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
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"<text text-anchor=\"start\" x=\"64.5\" y=\"-85.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</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 0x7fc24c50bde0> >"
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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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"for a in spot.automata(\"\"\"\n",
|
|
"HOA: v1\n",
|
|
"States: 2\n",
|
|
"Start: 1\n",
|
|
"name: \"Hello world\"\n",
|
|
"AP: 2 \"a\" \"b\"\n",
|
|
"Acceptance: 1 Inf(0)\n",
|
|
"--BODY--\n",
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|
"State: 0 {0}\n",
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|
"[t] 0\n",
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|
"State: 1\n",
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|
"[1] 0\n",
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"[0&!1] 1\n",
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|
"--END--\n",
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|
"HOA: v1\n",
|
|
"States: 1\n",
|
|
"Start: 0\n",
|
|
"name: \"Hello world 2\"\n",
|
|
"AP: 2 \"a\" \"b\"\n",
|
|
"Acceptance: 2 Inf(0)&Inf(1)\n",
|
|
"--BODY--\n",
|
|
"State: 0 {0}\n",
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|
"[t] 0 {1}\n",
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"[0&!1] 0\n",
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"--END--\n",
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"\"\"\"):\n",
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" display(a)"
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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": [
|
|
"# Reading automata output from processes\n",
|
|
"\n",
|
|
"If an argument of `spot.automata` ends with `|`, then it is interpreted as a shell command that outputs one automaton or more."
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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": 9,
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"<g id=\"graph0\" class=\"graph\" transform=\"scale(1.0 1.0) rotate(0) translate(4 157)\">\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"140.56,-35.14 144.7,-41.61 141.07,-38.6 141.58,-42.07 141.58,-42.07 141.58,-42.07 141.07,-38.6 138.46,-42.53 140.56,-35.14 140.56,-35.14\"/>\n",
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"<text text-anchor=\"start\" x=\"131\" y=\"-90.8\" font-family=\"Lato\" font-size=\"14.00\">b</text>\n",
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"<text text-anchor=\"start\" x=\"127\" y=\"-75.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</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 0x7fc24c50bae0> >"
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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": [
|
|
"for a in spot.automata('ltl2tgba -s \"a U b\"; ltl2tgba --lbtt \"b\"|', 'ltl2tgba -H \"GFa\" \"a & GFb\"|'):\n",
|
|
" display(a)"
|
|
]
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|
},
|
|
{
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|
"cell_type": "markdown",
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|
"metadata": {},
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"source": [
|
|
"A single automaton can be read using `spot.automaton()`, with the same convention."
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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": 10,
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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=\"170pt\" height=\"108pt\"\n",
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" viewBox=\"0.00 0.00 170.00 108.00\" 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=\"59.5\" y=\"-84.8\" font-family=\"Lato\" font-size=\"14.00\">[Büchi]</text>\n",
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"<title>I->0</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"37.94,-22 30.94,-25.15 34.44,-22 30.94,-22 30.94,-22 30.94,-22 34.44,-22 30.94,-18.85 37.94,-22 37.94,-22\"/>\n",
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"</g>\n",
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"<!-- 0->0 -->\n",
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"<g id=\"edge3\" class=\"edge\">\n",
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"<title>0->0</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M49.62,-39.04C48.32,-48.86 50.45,-58 56,-58 60.17,-58 62.4,-52.86 62.71,-46.14\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"62.38,-39.04 65.85,-45.88 62.54,-42.53 62.71,-46.03 62.71,-46.03 62.71,-46.03 62.54,-42.53 59.56,-46.18 62.38,-39.04 62.38,-39.04\"/>\n",
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"<text text-anchor=\"start\" x=\"38\" y=\"-61.8\" font-family=\"Lato\" font-size=\"14.00\">a & !b</text>\n",
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"<!-- 1 -->\n",
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"<g id=\"node3\" class=\"node\">\n",
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"<title>1</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"140\" cy=\"-22\" rx=\"22\" ry=\"22\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-18.3\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"<!-- 0->1 -->\n",
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"<g id=\"edge2\" class=\"edge\">\n",
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"<title>0->1</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M74.39,-22C84.9,-22 98.55,-22 110.6,-22\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"117.85,-22 110.85,-25.15 114.35,-22 110.85,-22 110.85,-22 110.85,-22 114.35,-22 110.85,-18.85 117.85,-22 117.85,-22\"/>\n",
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"<text text-anchor=\"start\" x=\"92\" y=\"-25.8\" font-family=\"Lato\" font-size=\"14.00\">b</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=\"M131.99,-42.58C130.89,-52.84 133.55,-62 140,-62 144.83,-62 147.54,-56.85 148.13,-49.95\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"148.01,-42.58 151.27,-49.53 148.06,-46.08 148.12,-49.58 148.12,-49.58 148.12,-49.58 148.06,-46.08 144.97,-49.63 148.01,-42.58 148.01,-42.58\"/>\n",
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"<text text-anchor=\"middle\" x=\"140\" y=\"-65.8\" font-family=\"Lato\" font-size=\"14.00\">1</text>\n",
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"</g>\n",
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"</g>\n",
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"</svg>\n"
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],
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"text/plain": [
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"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fc24c50b6c0> >"
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]
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},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
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"output_type": "execute_result"
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}
|
|
],
|
|
"source": [
|
|
"spot.automaton('ltl2tgba -s6 \"a U b\"|')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
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|
"metadata": {},
|
|
"outputs": [],
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"source": [
|
|
"!rm example.aut"
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]
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|
}
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],
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"metadata": {
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"kernelspec": {
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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": "3.11.6"
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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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