simplify: GF(f)=GF(dnf(f)) FG(f)=FG(cnf(f))
These rules come from Delag's paper, and help some cases in issue #385. * spot/tl/simplify.cc: Implement the simplification. * doc/tl/tl.tex, NEWS: Document it. * tests/core/385.test: New file. * tests/Makefile.am: Add it. * tests/core/reduccmp.test: More tests. * tests/core/ltl2tgba2.test: Adjust one improved case. * tests/python/automata.ipynb, tests/python/twagraph-internals.ipynb: Adjust expected output, as the cnf/dnf reorder some subformulas.
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"<ellipse cx=\"192\" cy=\"-29.0638\" fill=\"#ffffaa\" rx=\"27\" ry=\"18\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"182\" y=\"-25.3638\">1,0</text>\n",
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"<title>0->2</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"170.5\" y=\"-25.8\">!a & b</text>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"110\" y=\"-32.8638\">a & !b</text>\n",
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"</g>\n",
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"<g class=\"node\" id=\"node5\">\n",
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"<title>3</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"439\" y=\"-84.3638\">1,1</text>\n",
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"<title>0->3</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"238.5\" y=\"-9.8638\">a & b</text>\n",
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"<g class=\"edge\" id=\"edge5\">\n",
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"<title>1->1</title>\n",
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"<path d=\"M183.4273,-105.7817C182.4803,-115.3149 184.3379,-124 189,-124 192.4237,-124 194.335,-119.3161 194.7337,-113.0521\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"171\" y=\"-142.8\">a & !c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"181\" y=\"-127.8\">⓿</text>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"299\" y=\"-177.8638\">!a & !c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-162.8638\">⓿</text>\n",
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"</g>\n",
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"<!-- 1->1 -->\n",
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"<g class=\"edge\" id=\"edge6\">\n",
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"<title>1->1</title>\n",
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"<path d=\"M180.4657,-105.249C174.4091,-126.4346 177.2539,-154 189,-154 199.5072,-154 202.8918,-131.9425 199.1536,-112.1253\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"197.5343,-105.249 202.205,-111.3406 198.3366,-108.6558 199.1389,-112.0627 199.1389,-112.0627 199.1389,-112.0627 198.3366,-108.6558 196.0727,-112.7847 197.5343,-105.249 197.5343,-105.249\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"173\" y=\"-171.8\">a & c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"173\" y=\"-157.8\">⓿</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"189\" y=\"-157.8\">❶</text>\n",
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"<path d=\"M310.4657,-140.3128C304.4091,-161.4983 307.2539,-189.0638 319,-189.0638 329.5072,-189.0638 332.8918,-167.0063 329.1536,-147.1891\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"301\" y=\"-206.8638\">!a & c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"303\" y=\"-192.8638\">⓿</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"319\" y=\"-192.8638\">❶</text>\n",
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"<!-- 1->3 -->\n",
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"<title>1->2</title>\n",
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"<path d=\"M194.9997,-105.8615C201.6466,-122.4762 214.1313,-146.2372 234,-157 249.6317,-165.4676 258.3683,-165.4676 274,-157 291.3851,-147.5825 303.1168,-128.2133 310.231,-112.3876\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"234\" y=\"-166.8\">!a & !c</text>\n",
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"<title>1->3</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"366\" y=\"-193.8638\">a & !c</text>\n",
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"<title>1->2</title>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"236\" y=\"-124.8\">!a & c</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"246\" y=\"-109.8\">❶</text>\n",
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"<title>1->3</title>\n",
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"<path d=\"M343.3042,-131.1652C360.7865,-135.6248 384.602,-138.8417 404,-131.0638 414.9197,-126.6853 424.6906,-118.2535 432.3148,-110.0081\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"368\" y=\"-153.8638\">a & c</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"376\" y=\"-138.8638\">❶</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<g class=\"edge\" id=\"edge9\">\n",
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"<title>2->1</title>\n",
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"<path d=\"M291.8871,-85.8995C285.994,-85.5248 279.7909,-85.1928 274,-85 256.2321,-84.4084 251.7679,-84.4084 234,-85 230.4712,-85.1175 226.7893,-85.2867 223.1178,-85.4857\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"216.1129,-85.8995 222.9149,-82.3421 219.6068,-85.693 223.1007,-85.4866 223.1007,-85.4866 223.1007,-85.4866 219.6068,-85.693 223.2865,-88.6311 216.1129,-85.8995 216.1129,-85.8995\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"236\" y=\"-88.8\">a & !c</text>\n",
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"<path d=\"M210.196,-42.5317C232.5468,-59.0748 270.5227,-87.1829 295.1794,-105.4327\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"300.8378,-109.6208 293.3372,-107.9882 298.0245,-107.5386 295.2113,-105.4563 295.2113,-105.4563 295.2113,-105.4563 298.0245,-107.5386 297.0853,-102.9244 300.8378,-109.6208 300.8378,-109.6208\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"237\" y=\"-90.8638\">!a & b</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<!-- 2->2 -->\n",
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"<g class=\"edge\" id=\"edge10\">\n",
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"<title>2->1</title>\n",
|
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"<path d=\"M305.3336,-71.9784C297.1903,-63.7001 286.1001,-54.4255 274,-50 257.3039,-43.8935 250.6961,-43.8935 234,-50 224.3577,-53.5266 215.3568,-60.1324 207.9773,-66.8595\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"202.6664,-71.9784 205.5204,-64.8525 205.1864,-69.5495 207.7064,-67.1205 207.7064,-67.1205 207.7064,-67.1205 205.1864,-69.5495 209.8925,-69.3885 202.6664,-71.9784 202.6664,-71.9784\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"238\" y=\"-68.8\">a & c</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"246\" y=\"-53.8\">❶</text>\n",
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"<title>2->2</title>\n",
|
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"<path d=\"M181.1016,-45.7278C178.6797,-55.6888 182.3125,-65.0638 192,-65.0638 199.2656,-65.0638 203.1255,-59.7903 203.5796,-52.9513\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"202.8984,-45.7278 206.6918,-52.4011 203.2271,-49.2124 203.5557,-52.6969 203.5557,-52.6969 203.5557,-52.6969 203.2271,-49.2124 200.4196,-52.9927 202.8984,-45.7278 202.8984,-45.7278\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"173.5\" y=\"-83.8638\">a & !b</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"184\" y=\"-68.8638\">⓿</text>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
|
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"<!-- 2->3 -->\n",
|
||||
"<g class=\"edge\" id=\"edge11\">\n",
|
||||
"<title>2->2</title>\n",
|
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"<path d=\"M313.2476,-105.7817C312.27,-115.3149 314.1875,-124 319,-124 322.5342,-124 324.5071,-119.3161 324.9186,-113.0521\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"324.7524,-105.7817 328.0617,-112.7079 324.8325,-109.2808 324.9125,-112.7799 324.9125,-112.7799 324.9125,-112.7799 324.8325,-109.2808 321.7633,-112.8519 324.7524,-105.7817 324.7524,-105.7817\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"299\" y=\"-142.8\">!a & !c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-127.8\">⓿</text>\n",
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"<title>2->3</title>\n",
|
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"<path d=\"M219.0517,-28.9307C260.2943,-29.5646 340.7713,-34.1216 404,-58.0638 411.5297,-60.915 419.0641,-65.222 425.7551,-69.6898\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"431.6385,-73.8008 424.0963,-72.3735 428.7695,-71.7961 425.9005,-69.7914 425.9005,-69.7914 425.9005,-69.7914 428.7695,-71.7961 427.7048,-67.2093 431.6385,-73.8008 431.6385,-73.8008\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"302\" y=\"-60.8638\">a & b</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-45.8638\">⓿</text>\n",
|
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"</g>\n",
|
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"<!-- 2->2 -->\n",
|
||||
"<!-- 3->1 -->\n",
|
||||
"<g class=\"edge\" id=\"edge12\">\n",
|
||||
"<title>2->2</title>\n",
|
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"<path d=\"M310.1904,-105.249C303.9385,-126.4346 306.875,-154 319,-154 329.8462,-154 333.3399,-131.9425 329.4811,-112.1253\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"327.8096,-105.249 332.524,-111.3069 328.6363,-108.65 329.4631,-112.051 329.4631,-112.051 329.4631,-112.051 328.6363,-108.65 326.4022,-112.795 327.8096,-105.249 327.8096,-105.249\" stroke=\"#000000\"/>\n",
|
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"301\" y=\"-171.8\">!a & c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"303\" y=\"-157.8\">⓿</text>\n",
|
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"319\" y=\"-157.8\">❶</text>\n",
|
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"<title>3->1</title>\n",
|
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"<path d=\"M423.5681,-94.9108C402.8262,-100.4952 373.4072,-108.4157 351.0544,-114.4337\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"344.0653,-116.3154 350.0057,-111.4538 347.445,-115.4055 350.8246,-114.4955 350.8246,-114.4955 350.8246,-114.4955 347.445,-115.4055 351.6436,-117.5372 344.0653,-116.3154 344.0653,-116.3154\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"364\" y=\"-113.8638\">!a & !c</text>\n",
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"</g>\n",
|
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"<!-- 3->1 -->\n",
|
||||
"<g class=\"edge\" id=\"edge13\">\n",
|
||||
"<title>3->1</title>\n",
|
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"<path d=\"M429.332,-75.4937C411.5934,-65.8674 385.1248,-55.8266 364,-66.0638 349.6039,-73.0401 338.4238,-87.1034 330.8082,-99.5147\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"327.1525,-105.8081 327.9447,-98.173 328.9105,-102.7816 330.6685,-99.7552 330.6685,-99.7552 330.6685,-99.7552 328.9105,-102.7816 333.3923,-101.3374 327.1525,-105.8081 327.1525,-105.8081\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"366\" y=\"-84.8638\">!a & c</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"376\" y=\"-69.8638\">❶</text>\n",
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"</g>\n",
|
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"<!-- 3->3 -->\n",
|
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"<g class=\"edge\" id=\"edge14\">\n",
|
||||
"<title>3->3</title>\n",
|
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"<path d=\"M443.2476,-105.8455C442.27,-115.3787 444.1875,-124.0638 449,-124.0638 452.5342,-124.0638 454.5071,-119.3798 454.9186,-113.1159\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"454.7524,-105.8455 458.0617,-112.7716 454.8325,-109.3446 454.9125,-112.8437 454.9125,-112.8437 454.9125,-112.8437 454.8325,-109.3446 451.7633,-112.9157 454.7524,-105.8455 454.7524,-105.8455\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"431\" y=\"-142.8638\">a & !c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"441\" y=\"-127.8638\">⓿</text>\n",
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"</g>\n",
|
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"<!-- 3->3 -->\n",
|
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"<g class=\"edge\" id=\"edge15\">\n",
|
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"<title>3->3</title>\n",
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"<path d=\"M291.8393,-129.0964C307.8181,-134.2861 332.1267,-139.2918 351,-130.4783 360.4199,-126.0794 368.2449,-117.8688 374.1666,-109.7918\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"378.3188,-103.7066 376.9753,-111.2642 376.346,-106.5977 374.3733,-109.4887 374.3733,-109.4887 374.3733,-109.4887 376.346,-106.5977 371.7713,-107.7133 378.3188,-103.7066 378.3188,-103.7066\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"315\" y=\"-153.2783\">a & c</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"323\" y=\"-138.2783\">❶</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
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"<g class=\"edge\" id=\"edge9\">\n",
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"<title>2->1</title>\n",
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"<path d=\"M257.0731,-86.2107C251.3086,-85.7146 244.8903,-85.245 239,-85 221.2376,-84.2612 216.7628,-84.2712 199,-85 195.361,-85.1493 191.5231,-85.382 187.7575,-85.6533\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"180.6764,-86.2107 187.4075,-82.521 184.1656,-85.936 187.6548,-85.6612 187.6548,-85.6612 187.6548,-85.6612 184.1656,-85.936 187.9021,-88.8015 180.6764,-86.2107 180.6764,-86.2107\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"201\" y=\"-88.8\">a & !c</text>\n",
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"<path d=\"M179.3683,-40.3835C198.7033,-56.9816 233.8422,-87.1465 255.7182,-105.9259\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"261.2444,-110.6698 253.8812,-108.5004 258.5887,-108.39 255.933,-106.1102 255.933,-106.1102 255.933,-106.1102 258.5887,-108.39 257.9848,-103.7201 261.2444,-110.6698 261.2444,-110.6698\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"202\" y=\"-92.2783\">!a & b</text>\n",
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"</g>\n",
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"<!-- 2->1 -->\n",
|
||||
"<!-- 2->2 -->\n",
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"<g class=\"edge\" id=\"edge10\">\n",
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"<title>2->1</title>\n",
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"<path d=\"M265.0142,-72.4472C258.6857,-64.0962 249.6857,-54.5962 239,-50 222.6689,-42.9755 215.3552,-43.0318 199,-50 190.4529,-53.6415 182.9427,-60.3746 176.9919,-67.1731\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"172.3715,-72.8328 174.3582,-65.4182 174.5849,-70.1215 176.7983,-67.4102 176.7983,-67.4102 176.7983,-67.4102 174.5849,-70.1215 179.2385,-69.4023 172.3715,-72.8328 172.3715,-72.8328\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"203\" y=\"-68.8\">a & c</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"211\" y=\"-53.8\">❶</text>\n",
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"<title>2->2</title>\n",
|
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"<path d=\"M156.2674,-44.0198C153.6685,-54.387 156.7461,-64.4783 165.5,-64.4783 172.2022,-64.4783 175.577,-58.563 175.6245,-51.1374\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"174.7326,-44.0198 178.7286,-50.5738 175.1678,-47.4926 175.603,-50.9654 175.603,-50.9654 175.603,-50.9654 175.1678,-47.4926 172.4775,-51.3571 174.7326,-44.0198 174.7326,-44.0198\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"147\" y=\"-83.2783\">a & !b</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"157.5\" y=\"-68.2783\">⓿</text>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
|
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"<!-- 2->3 -->\n",
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"<g class=\"edge\" id=\"edge11\">\n",
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"<title>2->2</title>\n",
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"<path d=\"M270.0012,-105.4099C269.0681,-115.0879 270.7344,-124 275,-124 278.1326,-124 279.8633,-119.1936 280.1921,-112.8073\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"279.9988,-105.4099 283.3307,-112.3252 280.0903,-108.9087 280.1818,-112.4075 280.1818,-112.4075 280.1818,-112.4075 280.0903,-108.9087 277.0329,-112.4899 279.9988,-105.4099 279.9988,-105.4099\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"255\" y=\"-142.8\">!a & !c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"267\" y=\"-127.8\">⓿</text>\n",
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"<title>2->3</title>\n",
|
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"<path d=\"M183.594,-27.7587C217.9351,-27.0979 294.2023,-29.0444 351,-55.4783 357.8232,-58.6539 364.2983,-63.5517 369.8268,-68.5683\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"375.0175,-73.5652 367.7898,-70.9798 372.496,-71.1378 369.9744,-68.7105 369.9744,-68.7105 369.9744,-68.7105 372.496,-71.1378 372.1591,-66.4411 375.0175,-73.5652 375.0175,-73.5652\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"258\" y=\"-56.2783\">a & b</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"267\" y=\"-41.2783\">⓿</text>\n",
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"</g>\n",
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"<!-- 2->2 -->\n",
|
||||
"<!-- 3->1 -->\n",
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"<g class=\"edge\" id=\"edge12\">\n",
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"<title>2->2</title>\n",
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"<path d=\"M267.4634,-104.5959C261.769,-125.8633 264.2813,-154 275,-154 284.5883,-154 287.6098,-131.4854 284.0645,-111.5132\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"282.5366,-104.5959 287.1223,-110.7517 283.2915,-108.0135 284.0464,-111.4311 284.0464,-111.4311 284.0464,-111.4311 283.2915,-108.0135 280.9706,-112.1106 282.5366,-104.5959 282.5366,-104.5959\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"257\" y=\"-171.8\">!a & c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"259\" y=\"-157.8\">⓿</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"275\" y=\"-157.8\">❶</text>\n",
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"<title>3->1</title>\n",
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"<path d=\"M369.6229,-92.9087C350.7682,-98.8008 320.5243,-108.252 299.3164,-114.8795\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"292.5,-117.0096 298.2418,-111.915 295.8407,-115.9656 299.1814,-114.9216 299.1814,-114.9216 299.1814,-114.9216 295.8407,-115.9656 300.121,-117.9282 292.5,-117.0096 292.5,-117.0096\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-114.2783\">!a & !c</text>\n",
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"</g>\n",
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"<!-- 3->1 -->\n",
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"<g class=\"edge\" id=\"edge13\">\n",
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"<title>3->1</title>\n",
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"<path d=\"M372.8693,-75.8011C366.5789,-71.3346 358.8309,-66.7663 351,-64.4783 333.9357,-59.4925 326.5358,-55.8361 311,-64.4783 297.9795,-71.7213 289.0654,-85.8382 283.3646,-98.3307\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"313\" y=\"-83.2783\">!a & c</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"323\" y=\"-68.2783\">❶</text>\n",
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"</g>\n",
|
||||
"<!-- 3->3 -->\n",
|
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"<g class=\"edge\" id=\"edge14\">\n",
|
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"<title>3->3</title>\n",
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"<path d=\"M382.0012,-104.8882C381.0681,-114.5662 382.7344,-123.4783 387,-123.4783 390.1326,-123.4783 391.8633,-118.6719 392.1921,-112.2856\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"391.9988,-104.8882 395.3307,-111.8035 392.0903,-108.387 392.1818,-111.8858 392.1818,-111.8858 392.1818,-111.8858 392.0903,-108.387 389.0329,-111.9682 391.9988,-104.8882 391.9988,-104.8882\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"369\" y=\"-142.2783\">a & !c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"379\" y=\"-127.2783\">⓿</text>\n",
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"</g>\n",
|
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"<!-- 3->3 -->\n",
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"<g class=\"edge\" id=\"edge15\">\n",
|
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"<title>3->3</title>\n",
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"<path d=\"M379.4634,-104.0742C373.769,-125.3416 376.2813,-153.4783 387,-153.4783 396.5883,-153.4783 399.6098,-130.9637 396.0645,-110.9915\" fill=\"none\" stroke=\"#000000\"/>\n",
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"<polygon fill=\"#000000\" points=\"394.5366,-104.0742 399.1223,-110.23 395.2915,-107.4918 396.0464,-110.9094 396.0464,-110.9094 396.0464,-110.9094 395.2915,-107.4918 392.9706,-111.5889 394.5366,-104.0742 394.5366,-104.0742\" stroke=\"#000000\"/>\n",
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"<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"371\" y=\"-171.2783\">a & c</text>\n",
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"<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"371\" y=\"-157.2783\">⓿</text>\n",
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"<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"387\" y=\"-157.2783\">❶</text>\n",
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"</g>\n",
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"</g>\n",
|
||||
"</svg></div>"
|
||||
|
|
@ -3062,7 +3121,7 @@
|
|||
"</svg>\n"
|
||||
],
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||||
"text/plain": [
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0d077c1e40> >"
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5a6034ad20> >"
|
||||
]
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},
|
||||
"metadata": {},
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|
|
@ -3162,7 +3221,7 @@
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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 0x7f0d1c02c750> >"
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5a60301ba0> >"
|
||||
]
|
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},
|
||||
"execution_count": 24,
|
||||
|
|
@ -3235,7 +3294,7 @@
|
|||
"</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 0x7f0d1c02c780> >"
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5a6030f9c0> >"
|
||||
]
|
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},
|
||||
"execution_count": 25,
|
||||
|
|
@ -3399,7 +3458,7 @@
|
|||
"</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 0x7f0d1c03ed80> >"
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5a6030f750> >"
|
||||
]
|
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},
|
||||
"execution_count": 27,
|
||||
|
|
@ -3482,7 +3541,7 @@
|
|||
"</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 0x7f0d077c1e40> >"
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5a6034ad20> >"
|
||||
]
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},
|
||||
"metadata": {},
|
||||
|
|
@ -3547,7 +3606,7 @@
|
|||
"</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 0x7f0d077c1e40> >"
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5a6034ad20> >"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
|
|
@ -3634,7 +3693,7 @@
|
|||
"</svg>\n"
|
||||
],
|
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"text/plain": [
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0d077c1e40> >"
|
||||
"<spot.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f5a6034ad20> >"
|
||||
]
|
||||
},
|
||||
"execution_count": 29,
|
||||
|
|
@ -3667,7 +3726,7 @@
|
|||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.6.7"
|
||||
"version": "3.7.3"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue