df326e032b
* doc/tl/tl.bib: Move ... * doc/spot.bib: ... here, and augment it with all references that appeared verbatim in Doxygen comments. * doc/Makefile.am, doc/tl/Makefile.am doc/tl/tl.tex: Adjust for the move. * doc/Doxyfile.in: Point to spot.bib. * spot/gen/automata.hh, spot/gen/formulas.hh, spot/misc/game.hh, spot/misc/minato.hh spot/taalgos/emptinessta.hh, spot/taalgos/minimize.hh, spot/taalgos/tgba2ta.hh, spot/tl/formula.hh, spot/tl/remove_x.hh, spot/tl/simplify.hh, spot/tl/snf.hh, spot/twaalgos/cobuchi.hh, spot/twaalgos/cycles.hh, spot/twaalgos/dualize.hh, spot/twaalgos/gtec/gtec.hh, spot/twaalgos/gv04.hh, spot/twaalgos/ltl2taa.hh, spot/twaalgos/ltl2tgba_fm.hh, spot/twaalgos/magic.hh, spot/twaalgos/minimize.hh, spot/twaalgos/parity.hh, spot/twaalgos/powerset.hh, spot/twaalgos/randomgraph.hh, spot/twaalgos/se05.hh, spot/twaalgos/simulation.hh, spot/twaalgos/strength.hh, spot/twaalgos/stutter.hh, spot/twaalgos/tau03.hh, spot/twaalgos/totgba.hh, spot/twaalgos/toweak.hh: Use \cite instead of a verbatim bibtex entry.
49 lines
2 KiB
C++
49 lines
2 KiB
C++
// -*- coding: utf-8 -*-
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// Copyright (C) 2017, 2018, 2019 Laboratoire de Recherche et Développement
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// de l'Epita (LRDE).
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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/misc/common.hh>
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#include <spot/twa/fwd.hh>
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namespace spot
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{
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/// \ingroup twa_misc
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/// \brief Complement an automaton by dualizing it.
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///
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/// Given an automaton \a aut of any type, produces the dual as output. The
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/// automaton will be completed if it isn't already. If it is deterministic
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/// and complete, complementing the automaton can be done by just
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/// complementing the acceptance condition.
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///
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/// In particular, this implies that an input that use generalized Büchi will
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/// be output as generalized co-Büchi.
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///
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/// Functions like to_generalized_buchi() or remove_fin() are frequently
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/// called on existential automata after dualize() to obtain an easier
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/// acceptance condition, but maybe at the cost of losing determinism.
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///
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/// If the input automaton is deterministic, the output will be deterministic.
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/// If the input automaton is existential, the output will be universal.
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/// If the input automaton is universal, the output will be existential.
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/// Finally, if the input automaton is alternating, the result is alternating.
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/// More can be found on page 22 (Definition 1.6) of \cite loding.98.msc .
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SPOT_API twa_graph_ptr
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dualize(const const_twa_graph_ptr& aut);
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}
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