implement a FORQ-based inclusion check for SBAs
* spot/twaalgos/forq_contains.cc, spot/twaalgos/forq_contains.hh: New files. * spot/twaalgos/Makefile.am, python/spot/impl.i: Add them. * tests/python/forq_contains.py: New file. * tests/Makefile.am: Add it.
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@ -123,6 +123,7 @@
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#include <spot/twaalgos/dot.hh>
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#include <spot/twaalgos/dualize.hh>
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#include <spot/twaalgos/emptiness.hh>
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#include <spot/twaalgos/forq_contains.hh>
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#include <spot/twaalgos/gtec/gtec.hh>
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#include <spot/twaalgos/genem.hh>
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#include <spot/twaalgos/lbtt.hh>
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@ -702,6 +703,7 @@ def state_is_accepting(self, src) -> "bool":
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%feature("flatnested") spot::twa_run::step;
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%include <spot/twaalgos/emptiness.hh>
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%template(list_step) std::list<spot::twa_run::step>;
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%include <spot/twaalgos/forq_contains.hh>
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%include <spot/twaalgos/gtec/gtec.hh>
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%include <spot/twaalgos/genem.hh>
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%include <spot/twaalgos/lbtt.hh>
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@ -51,6 +51,7 @@ twaalgos_HEADERS = \
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dualize.hh \
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emptiness.hh \
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emptiness_stats.hh \
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forq_contains.hh \
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game.hh \
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genem.hh \
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gfguarantee.hh \
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@ -124,6 +125,7 @@ libtwaalgos_la_SOURCES = \
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dtwasat.cc \
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dualize.cc \
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emptiness.cc \
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forq_contains.cc \
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genem.cc \
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gfguarantee.cc \
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gv04.cc \
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1191
spot/twaalgos/forq_contains.cc
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1191
spot/twaalgos/forq_contains.cc
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Load diff
51
spot/twaalgos/forq_contains.hh
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51
spot/twaalgos/forq_contains.hh
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@ -0,0 +1,51 @@
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// -*- coding: utf-8 -*-
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// Copyright (C) 2023 Laboratoire de Recherche et Développement
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// de l'Epita. IMDEA Software Institute.
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//
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// This file is part of Spot, a model checking library.
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//
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// Spot is free software; you can redistribute it and/or modify it
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// under the terms of the GNU General Public License as published by
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// the Free Software Foundation; either version 3 of the License, or
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// (at your option) any later version.
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//
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// Spot is distributed in the hope that it will be useful, but WITHOUT
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// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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// or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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// License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program. If not, see <http://www.gnu.org/licenses/>.
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#pragma once
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#include <spot/twa/twagraph.hh>
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#include <spot/twaalgos/word.hh>
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namespace spot
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{
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/// \brief Returns a word accepted by \a left that is rejected by \a right,
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/// or nullptr.
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///
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/// This implements the language containment algorithm from
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/// \cite{doveriFORQBasedLanguageInclusion2022}
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/// to check whether L(left)⊆L(right), in which case, it returns nullptr.
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/// Otherwise, it returns a counterexample, i.e., a word that is accepted
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/// by $L(left)\setminus L(right)$, hence the name of the function.
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///
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/// \pre Automata \a left and \a right should be
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/// non-alternating state-based Büchi-automata.
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SPOT_API twa_word_ptr difference_word_forq(
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const_twa_graph_ptr left, spot::const_twa_graph_ptr right);
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/// \brief Returns a boolean value indicating
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/// whether \a left is included in the language of \a right.
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///
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/// This implements the language containment algorithm from
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/// \cite{doveriFORQBasedLanguageInclusion2022}
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/// to check whether L(left)⊆L(right).
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///
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/// \pre Automata \a left and \a right should be
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/// non-alternating state-based Büchi-automata.
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SPOT_API bool contains_forq(
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const_twa_graph_ptr left, const_twa_graph_ptr right);
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}
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@ -416,6 +416,7 @@ TESTS_python = \
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python/dualize.py \
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python/ecfalse.py \
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python/except.py \
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python/forq_contains.py \
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python/game.py \
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python/gen.py \
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python/genem.py \
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327
tests/python/forq_contains.py
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327
tests/python/forq_contains.py
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@ -0,0 +1,327 @@
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#!/usr/bin/python3
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# -*- mode: python; coding: utf-8 -*-
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# Copyright (C) 2017, 2020, 2022 Laboratoire de Recherche et
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# Développement de l'EPITA.
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#
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# This file is part of Spot, a model checking library.
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#
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# Spot is free software; you can redistribute it and/or modify it
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# under the terms of the GNU General Public License as published by
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# the Free Software Foundation; either version 3 of the License, or
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# (at your option) any later version.
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#
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# Spot is distributed in the hope that it will be useful, but WITHOUT
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# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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# License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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import spot
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from unittest import TestCase
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tc = TestCase()
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def do_test(subset, superset, expected=True):
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result = spot.contains_forq(subset, superset)
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truth = spot.contains(superset, subset)
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tc.assertTrue(truth == expected)
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tc.assertTrue(result == truth)
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def do_symmetric_test(subset, superset):
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do_test(subset, superset, True)
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do_test(superset, subset, False)
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always_true = spot.automaton("""
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HOA: v1
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States: 1
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Start: 0
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[t] 0 {0}
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--END--""")
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one = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[0|1] 1
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State: 1
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[0] 1
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[!0] 1 {0}
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--END--""")
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both = spot.automaton("""
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HOA: v1
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States: 1
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Start: 0
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[0] 0 {0}
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[!0] 0 {0}
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--END--""")
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do_test(both, always_true)
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do_test(always_true, both)
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do_symmetric_test(one, always_true)
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superset = spot.automaton("""
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HOA: v1
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States: 3
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Start: 0
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[!0|!1] 1
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[0 & 1] 2
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State: 1
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[t] 1 {0}
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State: 2
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[t] 2 {0}
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--END--""")
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subset = spot.automaton("""
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HOA: v1
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States: 3
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Start: 0
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[!0] 1
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[!0&1 | 0&!1] 2
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State: 1
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[t] 1 {0}
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State: 2
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[t] 2 {0}
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--END--""")
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do_symmetric_test(subset, superset)
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subset = spot.automaton("""
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HOA: v1
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States: 1
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Start: 0
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AP: 1 "__ap832"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0 {0}
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[!0] 0
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--END--""")
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superset = spot.automaton("""
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HOA: v1
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States: 1
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Start: 0
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AP: 1 "__ap832"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0 {0}
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[0] 0
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--END--""")
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do_test(subset, superset, False)
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do_test(superset, subset, False)
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subset = spot.automaton("""
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HOA: v1
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States: 2
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Start: 0
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[!0|!1] 1
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State: 1
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[t] 1 {0}
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--END--""")
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superset = spot.automaton("""
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HOA: v1
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States: 3
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Start: 0
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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AP: 2 "a" "b"
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--BODY--
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State: 0
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[!0&1 | !0&!1] 1
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[!0&1 | 0&!1] 2
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State: 1
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[t] 1 {0}
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State: 2
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[t] 2 {0}
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--END--""")
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# Equivlent Languages
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do_test(subset, superset)
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do_test(superset, subset)
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superset = spot.automaton("""
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HOA: v1
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States: 20
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Start: 0
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AP: 4 "__ap876" "__ap877" "__ap878" "__ap879"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0
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[0&!1&2&!3] 1
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State: 1
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[!0&!1&!2] 2
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[!0&1&!2] 3
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[!0&1&!2] 4
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[!0&!1&!2&!3] 5
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[!0&1&!2&!3] 6
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State: 2
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[!0&!1&!2] 2
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[!0&!1&!2&!3] 5
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[!0&1&!2&!3] 6
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[!0&1&!2] 7
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State: 3
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[!0&!1&!2] 3
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[0&!1&2&!3] 4
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State: 4
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[!0&!1&!2] 4
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[!0&!2&!3] 6
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[!0&1&!2] 7
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State: 5
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[!0&!2&3] 5
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[!0&!2&!3] 6
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State: 6
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[!0&!1&!2&3] 5
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[!0&!1&!2&!3 | !0&1&!2&3] 6
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[!0&1&!2&!3] 8
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State: 7
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[!0&!2&!3] 6
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[!0&!2] 7
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[0&!1&2&!3] 9
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State: 8
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[!0&!2&3] 6
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[!0&!2&!3] 8
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[0&!1&2&!3] 10
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State: 9
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[!0&!2&!3] 6
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[!0&!1&!2] 9
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[!0&1&!2] 11
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State: 10
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[!0&!1&!2&!3] 12
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[!0&1&!2&!3] 13
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State: 11
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[!0&!2&!3] 6
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[!0&!2] 11
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[0&!1&2&!3] 14
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State: 12
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[!0&!1&!2&!3] 12
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[!0&1&!2&!3] 15
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State: 13
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[0&!1&2&!3] 12
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[!0&!1&!2&!3] 13
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[!0&1&!2&!3] 15
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State: 14
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[!0&!1&!2&!3] 6
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[!0&1&!2&!3] 8
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[!0&!1&!2] 9
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[!0&1&!2] 16
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State: 15
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[!0&!2&!3] 15
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[0&!1&2&!3] 17
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State: 16
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[!0&!1&!2&!3] 6
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[!0&1&!2&!3] 8
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[!0&!1&!2] 11
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[0&!1&2&!3] 14
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[!0&1&!2] 16
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State: 17
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[!0&!1&!2&!3] 17
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[!0&1&!2&!3] 18
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State: 18
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[!0&!2&!3] 18
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[0&!1&2&!3] 19
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State: 19 {0}
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[!0&!1&!2&!3] 17
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[!0&1&!2&!3] 18
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--END--""")
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subset = spot.automaton("""
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HOA: v1
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States: 12
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Start: 0
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AP: 4 "__ap876" "__ap877" "__ap878" "__ap879"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels state-acc
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--BODY--
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State: 0
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[0&!1&2&!3] 1
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State: 1
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[!0&!1&!2&!3] 1
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[!0&!1&!2&3] 2
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[!0&1&!2&!3] 3
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[!0&1&!2&3] 4
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State: 2
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[!0&!1&!2] 2
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[!0&1&!2&3] 4
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[!0&1&!2&!3] 5
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State: 3
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[!0&!2&!3] 3
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[!0&!1&!2&3] 4
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[!0&1&!2&3] 5
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[0&!1&2&!3] 6
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State: 4
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[!0&!1&!2 | !0&!2&3] 4
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[!0&1&!2&!3] 5
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State: 5
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[!0&!1&!2&3] 4
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[!0&1&!2 | !0&!2&!3] 5
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[0&!1&2&!3] 7
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State: 6
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[!0&!1&!2&3] 2
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[!0&1&!2&!3] 3
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[!0&1&!2&3] 5
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[!0&!1&!2&!3] 8
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[!0&!1&!2&!3] 9
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[!0&1&!2&!3] 10
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State: 7
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[!0&!1&!2&!3] 1
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[!0&!1&!2&3] 2
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[!0&1&!2&!3] 3
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[!0&1&!2&3] 4
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[!0&1&!2&!3] 10
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State: 8
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[!0&!1&!2&!3] 8
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[!0&1&!2&!3] 10
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State: 9
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[!0&!1&!2&3] 2
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[!0&1&!2&!3] 3
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[!0&1&!2&3] 5
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[!0&!1&!2&!3] 9
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State: 10
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[!0&!2&!3] 10
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[0&!1&2&!3] 11
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State: 11 {0}
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[!0&!1&!2&!3] 8
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[!0&1&!2&!3] 10
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--END--""")
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do_symmetric_test(subset, superset)
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