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spot/tests/python/_zlktree.ipynb
Alexandre Duret-Lutz 86c22d98bc zlktree: remimplement zielonka_tree without BDDs 
* spot/twaalgos/zlktree.cc (zielonka_tree): Find the models using a
recursive procedure on the acceptance condition, without conversion to
BDD.
* tests/python/_zlktree.ipynb: Adjust to a different order of nodes.
2021-09-01 12:00:53 +02:00

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{
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"source": [
"import spot\n",
"spot.setup()"
]
},
{
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"execution_count": 2,
"id": "colonial-testimony",
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"source": [
"c = spot.acc_cond('Fin(0)&Inf(1)&(Inf(2)|Fin(3)) | (Inf(0)|Fin(1))&Fin(2)&Inf(3)')\n",
"t = spot.zielonka_tree(c); display(t)\n",
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},
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"source": [
"c = spot.acc_cond('Rabin 3')\n",
"print(c)\n",
"t = spot.zielonka_tree(c)\n",
"display(t)\n",
"t.num_branches(), t.first_branch(), t.has_rabin_shape(), t.has_streett_shape(), t.has_parity_shape()"
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},
{
"cell_type": "code",
"execution_count": 14,
"id": "acquired-rogers",
"metadata": {},
"outputs": [
{
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"text": [
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"source": [
"c = spot.acc_cond('Streett 3')\n",
"print(c)\n",
"t = spot.zielonka_tree(c)\n",
"display(t)\n",
"t.num_branches(), t.first_branch(), t.has_rabin_shape(), t.has_streett_shape(), t.has_parity_shape()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "minimal-douglas",
"metadata": {},
"outputs": [
{
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"output_type": "stream",
"text": [
"(5, (Inf(0) & Fin(1)) | (Inf(2) & Fin(3) & Fin(4)))\n"
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],
"source": [
"c = spot.acc_cond('Inf(0)&Fin(1) | (Inf(2)&Fin(3)&Fin(4))')\n",
"print(c)\n",
"t = spot.zielonka_tree(c)\n",
"display(t)\n",
"t.num_branches(), t.first_branch(), t.has_rabin_shape(), t.has_streett_shape(), t.has_parity_shape()"
]
},
{
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"id": "tired-thumbnail",
"metadata": {},
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{
"name": "stdout",
"output_type": "stream",
"text": [
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"c = spot.acc_cond('parity max odd 5')\n",
"print(c)\n",
"t = spot.zielonka_tree(c)\n",
"display(t)\n",
"t.num_branches(), t.first_branch(), t.has_rabin_shape(), t.has_streett_shape(), t.has_parity_shape()"
]
},
{
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"execution_count": 17,
"id": "structured-palace",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
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]
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"print(c)\n",
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]
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]
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"id": "interesting-seller",
"metadata": {},
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{
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"outputs": [],
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{
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{
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{
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"text/plain": [
"<spot.acd; proxy of <Swig Object of type 'spot::acd *' at 0x7fd0ba74db70> >"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda = spot.acd(a); acda"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "surprised-column",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.first_branch(4, 0)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "multiple-minneapolis",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(6, 1)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.step(6, 16)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "addressed-desire",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(6, 1)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.step(6, 18)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "published-pollution",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(17, 0)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.step(6, 17)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "excessive-locking",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(8, 1)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.step(17, 22)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "premier-declaration",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(17, 1)"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.step(8, 36)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "modular-metro",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.first_branch(1, 3)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "solved-distinction",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(3, 1)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.step(3, 3)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "diagnostic-anthony",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"21\n",
"2\n"
]
}
],
"source": [
"b = spot.acd_transform(a); print(b.num_states()); print(b.num_sets())"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "large-shooting",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(False, False)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"acda.has_parity_shape(), acda.has_streett_shape()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "known-plain",
"metadata": {},
"outputs": [
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"source": [
"c = spot.automaton(\"\"\"\n",
"HOA: v1\n",
"States: 2\n",
"Start: 0\n",
"AP: 2 \"p1\" \"p0\"\n",
"Acceptance: 5 (Fin(0) & (Fin(3)|Fin(4)) & (Inf(1)&Inf(2))) | Inf(3)\n",
"properties: trans-labels explicit-labels trans-acc complete\n",
"properties: deterministic stutter-invariant\n",
"--BODY--\n",
"State: 0\n",
"[0&!1] 0 {2 3}\n",
"[!0&!1] 0 {2 3 4}\n",
"[!0&1] 1\n",
"[0&1] 1 {2 4}\n",
"State: 1\n",
"[!0&!1] 0 {0 2 3 4}\n",
"[!0&1] 1 {1}\n",
"[0&!1] 1 {2 3}\n",
"[0&1] 1 {1 2 4}\n",
"--END--\n",
"\"\"\"); c.show(\".#\")"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "balanced-investing",
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"e = spot.translate('!(GFa -> (GFb & GF(!b & !Xb)))', 'gen', 'det')\n",
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"id": "conventional-aircraft",
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{
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{
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{
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"id": "hispanic-europe",
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"outputs": [],
"source": [
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},
{
"cell_type": "code",
"execution_count": 47,
"id": "junior-basis",
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"id": "vietnamese-explorer",
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"id": "miniature-attitude",
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{
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{
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"<title>5</title>\n",
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"<title>4&#45;&gt;5</title>\n",
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"<title>6</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1103\" cy=\"-106.45\" rx=\"22\" ry=\"22\"/>\n",
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"<title>4&#45;&gt;6</title>\n",
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"<title>9</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1633\" cy=\"-455.45\" rx=\"22\" ry=\"22\"/>\n",
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"<title>4&#45;&gt;9</title>\n",
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"<title>7&#45;&gt;4</title>\n",
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"<!-- 7&#45;&gt;3 -->\n",
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"<title>7&#45;&gt;3</title>\n",
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"<!-- 7&#45;&gt;8 -->\n",
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"<title>7&#45;&gt;8</title>\n",
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"<!-- 7&#45;&gt;10 -->\n",
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"<title>7&#45;&gt;10</title>\n",
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"<title>7&#45;&gt;5</title>\n",
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"<!-- 7&#45;&gt;6 -->\n",
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"<title>7&#45;&gt;6</title>\n",
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"<title>3&#45;&gt;4</title>\n",
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"<title>3&#45;&gt;3</title>\n",
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"<title>3&#45;&gt;8</title>\n",
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"<title>3&#45;&gt;10</title>\n",
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"<!-- 8&#45;&gt;8 -->\n",
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"<title>8&#45;&gt;8</title>\n",
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"<title>8&#45;&gt;10</title>\n",
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"<title>10&#45;&gt;8</title>\n",
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"<title>10&#45;&gt;10</title>\n",
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"<title>10&#45;&gt;9</title>\n",
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"<title>5&#45;&gt;8</title>\n",
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"<title>5&#45;&gt;10</title>\n",
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"<title>5&#45;&gt;5</title>\n",
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"<!-- 5&#45;&gt;6 -->\n",
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"<title>5&#45;&gt;6</title>\n",
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"<title>5&#45;&gt;9</title>\n",
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"<title>6&#45;&gt;8</title>\n",
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"<!-- 6&#45;&gt;10 -->\n",
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"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fd0b9cfb570> >"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"af = spot.translate('X(p3 | (p4 <-> p8)) R ((Gp4 R p6) W p8)', 'det', 'gen')\n",
"af"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "nuclear-graduation",
"metadata": {},
"outputs": [
{
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"text/plain": [
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fd0b9cfb840> >"
]
},
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}
],
"source": [
"spot.acd_transform(af)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "german-vienna",
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]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# inherently weak automata become weak\n",
"w = spot.automaton(\"\"\"HOA: v1\n",
"States: 2\n",
"Start: 1\n",
"AP: 1 \"a\"\n",
"Acceptance: 2 Inf(0) | Inf(1)\n",
"properties: trans-labels explicit-labels trans-acc colored complete\n",
"properties: deterministic inherently-weak\n",
"--BODY--\n",
"State: 0\n",
"[t] 1 {0}\n",
"State: 1\n",
"[0] 0 {1}\n",
"[!0] 1 {0}\n",
"--END--\"\"\"); w"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "chemical-primary",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(spot.trival_maybe(), spot.trival(True))"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"w.prop_weak(), w.prop_inherently_weak()"
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "hispanic-floor",
"metadata": {},
"outputs": [],
"source": [
"w2 = spot.acd_transform(w)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"id": "bacterial-wiring",
"metadata": {},
"outputs": [
{
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]
},
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}
],
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},
{
"cell_type": "code",
"execution_count": 57,
"id": "central-london",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(spot.trival(True), spot.trival(True))"
]
},
"execution_count": 57,
"metadata": {},
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}
],
"source": [
"w2.prop_weak(), w2.prop_inherently_weak()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "adjusted-cause",
"metadata": {},
"outputs": [],
"source": []
}
],
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