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SAT-Based Minimization of Deterministic \(\omega \)-Automata

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Logic for Programming, Artificial Intelligence, and Reasoning (LPAR 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9450))

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Abstract

We describe a tool that inputs a deterministic \(\omega \)-automaton with any acceptance condition, and synthesizes an equivalent \(\omega \)-automaton with another arbitrary acceptance condition and a given number of states, if such an automaton exists. This tool, that relies on a SAT-based encoding of the problem, can be used to provide minimal \(\omega \)-automata equivalent to given properties, for different acceptance conditions.

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Notes

  1. 1.

    https://spot.lrde.epita.fr/.

  2. 2.

    In the HOA format [4] the Acceptance: line encodes the \(\mathscr {F}\) function of Definition 1, while the acc-name: just supplies a human-readable name when one is known.

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Authors and Affiliations

  1. LRDE, EPITA, Le Kremlin-Bicêtre, France

    Souheib Baarir & Alexandre Duret-Lutz

Authors
  1. Souheib Baarir
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  2. Alexandre Duret-Lutz
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Corresponding author

Correspondence to Souheib Baarir .

Editor information

Editors and Affiliations

  1. New York University, New York, New York, USA

    Martin Davis

  2. University of the South Pacific, Suva, Fiji

    Ansgar Fehnker

  3. Macquarie University, Sydney, New South Wales, Australia

    Annabelle McIver

  4. The University of Manchester, Manchester, United Kingdom

    Andrei Voronkov

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Baarir, S., Duret-Lutz, A. (2015). SAT-Based Minimization of Deterministic \(\omega \)-Automata. In: Davis, M., Fehnker, A., McIver, A., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2015. Lecture Notes in Computer Science(), vol 9450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48899-7_6

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  • DOI: https://doi.org/10.1007/978-3-662-48899-7_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48898-0

  • Online ISBN: 978-3-662-48899-7

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