Experiments with deterministic omega-automata for formulas of linear temporal logic

This paper addresses the problem of generating deterministic ω-automata for formulas of linear temporal logic, which can be solved by applying well-known algorithms to construct a nondeterministic Buchi automaton for the given formula on which we then apply a determinization algorithm. We study here in detail Safra's determinization algorithm, present several heuristics that attempt to decrease the size of the resulting automata and report on experimental results.

[1]  Robert E. Tarjan,et al.  Three Partition Refinement Algorithms , 1987, SIAM J. Comput..

[2]  Wolfgang Thomas,et al.  Languages, Automata, and Logic , 1997, Handbook of Formal Languages.

[3]  George S. Avrunin,et al.  Patterns in property specifications for finite-state verification , 1999, Proceedings of the 1999 International Conference on Software Engineering (IEEE Cat. No.99CB37002).

[4]  Fabio Somenzi,et al.  Efficient Büchi Automata from LTL Formulae , 2000, CAV.

[5]  Gerard J. Holzmann,et al.  The Model Checker SPIN , 1997, IEEE Trans. Software Eng..

[6]  Christof Löding.  Optimal Bounds for Transformations of omega-Automata , 1999, FSTTCS.

[7]  Robert K. Brayton,et al.  Deterministic w Automata vis-a-vis Deterministic Buchi Automata , 1994, ISAAC.

[8]  Roberto Sebastiani,et al.  "More Deterministic" vs. "Smaller" Büchi Automata for Efficient LTL Model Checking , 2003, CHARME.

[9]  Christof Löding,et al.  Efficient minimization of deterministic weak omega-automata , 2001, Inf. Process. Lett..

[10]  Moshe Y. Vardi.  Probabilistic Linear-Time Model Checking: An Overview of the Automata-Theoretic Approach , 1999, ARTS.

[11]  Christel Baier,et al.  Model checking for a probabilistic branching time logic with fairness , 1998, Distributed Computing.

[12]  Carsten Fritz,et al.  Constructing Büchi Automata from Linear Temporal Logic Using Simulation Relations for Alternating Büchi Automata , 2003, CIAA.

[13]  A. Prasad Sistla,et al.  Deciding branching time logic , 1984, STOC '84.

[14]  Kousha Etessami,et al.  Optimizing Büchi Automata , 2000, CONCUR.

[15]  Thomas Wilke,et al.  Automata logics, and infinite games: a guide to current research , 2002 .

[16]  Thomas Wilke,et al.  Automata Logics, and Infinite Games , 2002, Lecture Notes in Computer Science.

[17]  Orna Kupferman,et al.  Model Checking of Safety Properties , 1999, CAV.

[18]  Paul Gastin,et al.  Fast LTL to Büchi Automata Translation , 2001, CAV.

[19]  Wolfgang Thomas,et al.  Observations on determinization of Büchi automata , 2005, Theor. Comput. Sci..

[20]  David E. Muller,et al.  Simulating Alternating Tree Automata by Nondeterministic Automata: New Results and New Proofs of the Theorems of Rabin, McNaughton and Safra , 1995, Theor. Comput. Sci..

[21]  Pierre Wolper,et al.  Simple on-the-fly automatic verification of linear temporal logic , 1995, PSTV.

[22]  Zohar Manna,et al.  Formal verification of probabilistic systems , 1997 .

[23]  Robert K. Brayton,et al.  Language containment of non-deterministic omega-automata , 1995, CHARME.

[24]  Kousha Etessami,et al.  Fair Simulation Relations, Parity Games, and State Space Reduction for Büchi Automata , 2001, ICALP.