91 lines
2.1 KiB
Python
91 lines
2.1 KiB
Python
# -*- mode: python; coding: utf-8 -*-
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# Copyright (C) 2017 Laboratoire de Recherche et Développement
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# 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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phi1 = """GFb
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X(!b | GF!a)
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!a U X(b | GF!b)
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GFa
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G(a M b)
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(!a | b) & GFb
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(a U Xa) | G(b & Fa)
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GF!b
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(b & GF!b) | (!b & FGb)
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b | (a & XF(b R a)) | (!a & XG(!b U !a))"""
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def equivalent(a, phi):
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negphi = spot.formula.Not(phi)
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nega = spot.dualize(a)
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return not (spot.translate(negphi).intersects(a)
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or spot.translate(phi).intersects(nega))
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def test_phi(phi):
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a = spot.translate(phi, 'TGBA', 'SBAcc')
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res = spot.to_weak_alternating(spot.dualize(a))
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assert equivalent(res, spot.formula.Not(spot.formula(phi)))
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for p in phi1.split('\n'):
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print(p)
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test_phi(p)
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phi2 = spot.formula("(G((F a) U b)) W a")
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a2 = spot.automaton("""
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HOA: v1
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States: 7
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Start: 1
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AP: 2 "a" "b"
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acc-name: generalized-Buchi 2
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Acceptance: 2 Inf(0)&Inf(1)
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properties: trans-labels explicit-labels trans-acc complete univ-branch
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--BODY--
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State: 0
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[t] 0 {0 1}
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State: 1
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[0] 0 {0 1}
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[1] 1&2 {0 1}
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[0&!1] 1&3 {0 1}
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[!0&!1] 1&4 {0 1}
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State: 2
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[1] 2 {0 1}
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[0&!1] 3 {0 1}
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[!0&!1] 4 {0 1}
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State: 3
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[1] 2 {0 1}
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[0&!1] 3 {1}
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[!0&!1] 4 {1}
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State: 4
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[0&1] 2 {0 1}
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[0&!1] 3 {1}
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[!0&!1] 4 {1}
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[!0&1] 5 {0 1}
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State: 5
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[0&1] 2 {0 1}
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[0&!1] 3 {0 1}
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[!0&1] 5 {0}
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[!0&!1] 6 {0}
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State: 6
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[0&1] 2 {0 1}
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[0&!1] 3 {1}
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[!0&1] 5 {0}
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[!0&!1] 6
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--END--
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""")
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a2 = spot.to_weak_alternating(a2)
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assert equivalent(a2, phi2)
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