{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "These examples are tests for scc_info on alternating automata." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import display\n", "import spot\n", "spot.setup(show_default='.bas')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Inf(\n", "\n", ")\n", "[Büchi]\n", "cluster_0\n", "\n", "\n", "cluster_1\n", "\n", "\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "I->-1\n", "\n", "\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "-1->0\n", "\n", "\n", "\n", "\n", "1->1\n", "\n", "\n", "b\n", "\n", "\n", "\n", "0->1\n", "\n", "\n", "!a\n", "\n", "\n", "0->0\n", "\n", "\n", "a\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e84e9810> >" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spot.automaton('''\n", "HOA: v1\n", "States: 2\n", "Start: 0&1\n", "AP: 2 \"a\" \"b\"\n", "acc-name: Buchi\n", "Acceptance: 1 Inf(0)\n", "--BODY--\n", "State: 0\n", "[0] 0\n", "[!0] 1\n", "State: 1\n", "[1] 1 {0}\n", "--END--\n", "''')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "universal edges are handled as if they were many distinct existencial edges from the point of view of `scc_info`, so the acceptance / rejection status is not always meaningful." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "cluster_1\n", "\n", "\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "I->-1\n", "\n", "\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "-1->0\n", "\n", "\n", "\n", "\n", "1->1\n", "\n", "\n", "b\n", "\n", "\n", "0->-1\n", "\n", "\n", "a\n", "\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e8571900> >" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spot.automaton('''\n", "HOA: v1\n", "States: 2\n", "Start: 0&1\n", "AP: 2 \"a\" \"b\"\n", "Acceptance: 1 Fin(0)\n", "--BODY--\n", "State: 0\n", "[0] 0&1 {0}\n", "State: 1\n", "[1] 1\n", "--END--\n", "''')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "I->-1\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "-1->0\n", "\n", "\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "0->0\n", "\n", "\n", "a\n", "\n", "\n", "\n", "0->1\n", "\n", "\n", "!a\n", "\n", "\n", "1->-1\n", "\n", "\n", "b\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e85070f0> >" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spot.automaton('''\n", "HOA: v1\n", "States: 2\n", "Start: 0&1\n", "AP: 2 \"a\" \"b\"\n", "Acceptance: 1 Fin(0)\n", "--BODY--\n", "State: 0\n", "[0] 0 {0}\n", "[!0] 1\n", "State: 1\n", "[1] 1&0\n", "--END--\n", "''')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "I->0\n", "\n", "\n", "\n", "\n", "0->0\n", "\n", "\n", "a\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "0->1\n", "\n", "\n", "!a\n", "\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "1->-1\n", "\n", "\n", "b\n", "\n", "\n", "-1->0\n", "\n", "\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e8507120> >" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spot.automaton('''\n", "HOA: v1\n", "States: 2\n", "Start: 0\n", "AP: 2 \"a\" \"b\"\n", "Acceptance: 1 Fin(0)\n", "--BODY--\n", "State: 0\n", "[0] 0\n", "[!0] 1 {0}\n", "State: 1\n", "[1] 1&0\n", "--END--\n", "''')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "I->0\n", "\n", "\n", "\n", "\n", "0->0\n", "\n", "\n", "a\n", "\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "0->1\n", "\n", "\n", "!a\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "1->-1\n", "\n", "\n", "b\n", "\n", "\n", "\n", "-1->0\n", "\n", "\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e8507150> >" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spot.automaton('''\n", "HOA: v1\n", "States: 2\n", "Start: 0\n", "AP: 2 \"a\" \"b\"\n", "Acceptance: 1 Fin(0)\n", "--BODY--\n", "State: 0\n", "[0] 0 {0}\n", "[!0] 1 \n", "State: 1\n", "[1] 1&0 {0}\n", "--END--\n", "''')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A corner case for the dot printer" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "cluster_1\n", "\n", "\n", "cluster_2\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "I->0\n", "\n", "\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "0->-1\n", "\n", "\n", "a\n", "\n", "\n", "2\n", "\n", "2\n", "\n", "\n", "2->2\n", "\n", "\n", "b\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "1->-1\n", "\n", "\n", "b\n", "\n", "\n", "\n", "-1->2\n", "\n", "\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e8507630> >" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "cluster_1\n", "\n", "\n", "cluster_2\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "I->0\n", "\n", "\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "0->-1\n", "\n", "\n", "a\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "1->1\n", "\n", "\n", "b\n", "\n", "\n", "\n", "2\n", "\n", "2\n", "\n", "\n", "2->2\n", "\n", "\n", "b\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "-1->2\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e84e98a0> >" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "cluster_1\n", "\n", "\n", "\n", "\n", "-4\n", "\n", "\n", "\n", "I->-4\n", "\n", "\n", "\n", "\n", "2\n", "\n", "2\n", "\n", "\n", "-4->2\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "-4->0\n", "\n", "\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "1->-1\n", "\n", "\n", "b\n", "\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "-1->2\n", "\n", "\n", "\n", "\n", "2->-1\n", "\n", "\n", "b\n", "\n", "\n", "0->-1\n", "\n", "\n", "a\n", "\n", "\n", "\n" ], "text/plain": [ " *' at 0x7f41e9624660> >" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/svg+xml": [ "\n", "\n", "G\n", "\n", "Fin(\n", "\n", ")\n", "[co-Büchi]\n", "cluster_0\n", "\n", "\n", "cluster_1\n", "\n", "\n", "\n", "\n", "-4\n", "\n", "\n", "\n", "I->-4\n", "\n", "\n", "\n", "\n", "2\n", "\n", "2\n", "\n", "\n", "-4->2\n", "\n", "\n", "\n", "\n", "0\n", "\n", "0\n", "\n", "\n", "-4->0\n", "\n", "\n", "\n", "\n", "1\n", "\n", "1\n", "\n", "\n", "-1.2\n", "\n", "\n", "\n", "1->-1.2\n", "\n", "\n", "b\n", "\n", "\n", "\n", "-1.2->1\n", "\n", "\n", "\n", "\n", "-1.2->2\n", "\n", "\n", "\n", "\n", "-1\n", "\n", "\n", "\n", "2->-1\n", "\n", "\n", "b\n", "\n", "\n", "-1->1\n", "\n", "\n", "\n", "\n", "-1->2\n", "\n", "\n", "\n", "\n", "0->-1\n", "\n", "\n", "a\n", "\n", "\n", "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for a in spot.automata('''\n", "HOA: v1\n", "States: 3\n", "Start: 0\n", "AP: 2 \"a\" \"b\"\n", "Acceptance: 1 Fin(0)\n", "--BODY--\n", "State: 0\n", "[0] 1&2\n", "State: 1\n", "[1] 1&2 {0}\n", "State: 2\n", "[1] 2\n", "--END--\n", "HOA: v1\n", "States: 3\n", "Start: 0\n", "AP: 2 \"a\" \"b\"\n", "Acceptance: 1 Fin(0)\n", "--BODY--\n", "State: 0\n", "[0] 1&2\n", "State: 1\n", "[1] 1 {0}\n", "State: 2\n", "[1] 2\n", "--END--\n", "'''):\n", " display(a)\n", "\n", "a = spot.automaton('''\n", "HOA: v1\n", "States: 3\n", "Start: 0&2\n", "AP: 2 \"a\" \"b\"\n", "Acceptance: 1 Fin(0)\n", "spot.highlight.edges: 2 2\n", "--BODY--\n", "State: 0\n", "[0] 1&2\n", "State: 1\n", "[1] 1&2 {0}\n", "State: 2\n", "[1] 1&2\n", "--END--\n", "''')\n", "display(a, a.show('.basy'))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.4" } }, "nbformat": 4, "nbformat_minor": 2 }