spot/src/tgbaalgos/minimize.hh

// -*- coding: utf-8 -*-
// Copyright (C) 2009, 2010, 2011, 2012 Laboratoire de Recherche et
// Développement de l'Epita (LRDE).
//
// This file is part of Spot, a model checking library.
//
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// the Free Software Foundation; either version 3 of the License, or
// (at your option) any later version.
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// or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
// License for more details.
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#ifndef SPOT_TGBAALGOS_MINIMIZE_HH
# define SPOT_TGBAALGOS_MINIMIZE_HH

# include "tgba/tgbaexplicit.hh"
# include "ltlast/formula.hh"

namespace spot
{
  /// \addtogroup tgba_reduction
  /// @{

  /// \brief Construct a minimal deterministic monitor.
  ///
  /// The automaton will be converted into minimal deterministic
  /// monitor.  All useless SCCs should have been previously removed
  /// (using scc_filter() for instance).  Then the automaton will be
  /// determinized and minimized using the standard DFA construction
  /// as if all states were accepting states.
  ///
  /// For more detail about monitors, see the following paper:
  /// \verbatim
  /// @InProceedings{	  tabakov.10.rv,
  ///   author	  = {Deian Tabakov and Moshe Y. Vardi},
  ///   title	  = {Optimized Temporal Monitors for SystemC{$^*$}},
  ///   booktitle = {Proceedings of the 10th International Conferance
  ///		     on Runtime Verification},
  ///   pages	  = {436--451},
  ///   year	  = 2010,
  ///   volume	  = {6418},
  ///   series	  = {Lecture Notes in Computer Science},
  ///   month	  = nov,
  ///   publisher = {Spring-Verlag}
  /// }
  /// \endverbatim
  /// (Note: although the above paper uses Spot, this function did not
  /// exist in Spot at that time.)
  ///
  /// \param a the automaton to convert into a minimal deterministic monitor
  /// \pre Dead SCCs should have been removed from \a a before
  ///      calling this function.
  sba_explicit_number* minimize_monitor(const tgba* a);

  /// \brief Minimize a Büchi automaton in the WDBA class.
  ///
  /// This takes a TGBA whose language is representable by a Weak
  /// Deterministic Büchi Automaton, and construct a minimal WDBA for
  /// this language.  This essentially chains three algorithms:
  /// determinization, acceptance adjustment (Löding's coloring
  /// algorithm), and minimization (using a Moore-like approache).
  ///
  /// If the input automaton does not represent a WDBA language,
  /// the resulting automaton is still a WDBA, but it will not
  /// be equivalent to the original automaton.   Use the
  /// minimize_obligation() function if you are not sure whether
  /// it is safe to call this function.
  ///
  /// Please see the following paper for a discussion of this
  /// technique.
  ///
  /// \verbatim
  /// @InProceedings{	  dax.07.atva,
  ///   author	  = {Christian Dax and Jochen Eisinger and Felix Klaedtke},
  ///   title     = {Mechanizing the Powerset Construction for Restricted
  /// 		     Classes of {$\omega$}-Automata},
  ///   year      = 2007,
  ///   series	  = {Lecture Notes in Computer Science},
  ///   publisher = {Springer-Verlag},
  ///   volume	  = 4762,
  ///   booktitle = {Proceedings of the 5th International Symposium on
  /// 		     Automated Technology for Verification and Analysis
  /// 		     (ATVA'07)},
  ///   editor	  = {Kedar S. Namjoshi and Tomohiro Yoneda and Teruo Higashino
  /// 		     and Yoshio Okamura},
  ///   month     = oct
  /// }
  /// \endverbatim
  sba_explicit_number* minimize_wdba(const tgba* a);

  /// \brief Minimize an automaton if it represents an obligation property.
  ///
  /// This function attempts to minimize the automaton \a aut_f using the
  /// algorithm implemented in the minimize_wdba() function, and presented
  /// by the following paper:
  ///
  /// \verbatim
  /// @InProceedings{	  dax.07.atva,
  ///   author	  = {Christian Dax and Jochen Eisinger and Felix Klaedtke},
  ///   title     = {Mechanizing the Powerset Construction for Restricted
  /// 		     Classes of {$\omega$}-Automata},
  ///   year      = 2007,
  ///   series	  = {Lecture Notes in Computer Science},
  ///   publisher = {Springer-Verlag},
  ///   volume	  = 4762,
  ///   booktitle = {Proceedings of the 5th International Symposium on
  /// 		     Automated Technology for Verification and Analysis
  /// 		     (ATVA'07)},
  ///   editor	  = {Kedar S. Namjoshi and Tomohiro Yoneda and Teruo Higashino
  /// 		     and Yoshio Okamura},
  ///   month     = oct
  /// }
  /// \endverbatim
  ///
  /// Because it is hard to determine if an automaton corresponds
  /// to an obligation property, you should supply either the formula
  /// \a f expressed by the automaton \a aut_f, or \a aut_neg_f the negation
  /// of the automaton \a aut_neg_f.
  ///
  /// \param aut_f the automaton to minimize
  /// \param f the LTL formula represented by the automaton \a aut_f
  /// \param aut_neg_f an automaton representing the negation of \a aut_f
  /// \return a new tgba if the automaton could be minimized, aut_f if
  /// the automaton cannot be minimized, 0 if we do not if if the
  /// minimization is correct because neither \a f nor \a aut_neg_f
  /// were supplied.
  ///
  /// The function proceeds as follows.  If the formula \a f or the
  /// automaton \a aut can easily be proved to represent an obligation
  /// formula, then the result of <code>minimize(aut)</code> is
  /// returned.  Otherwise, if \a aut_neg_f was not supplied but \a f
  /// was, \a aut_neg_f is built from the negation of \a f.  Then we
  /// check that <code>product(aut,!minimize(aut_f))</code> and <code>
  /// product(aut_neg_f,minize(aut))</code> are both empty.  If they
  /// are, the the minimization was sound.  (See the paper for full
  /// details.)
  ///
  /// If \a reject_bigger is set, this function will return the input
  /// automaton \a aut_f when the minimized WDBA has more states than
  /// the input automaton.  (More states are possible because of
  /// determinization step during minimize_wdba().)  Note that
  /// checking the size of the minimized WDBA occurs before ensuring
  /// that the minimized WDBA is correct.
  tgba* minimize_obligation(const tgba* aut_f,
			    const ltl::formula* f = 0,
			    const tgba* aut_neg_f = 0,
			    bool reject_bigger = false);

  /// @}
}

#endif /* !SPOT_TGBAALGOS_MINIMIZE_HH */