Two-Way Alternating Automata and Finite Models

  • Authors:
  • Mikolaj Bojanczyk

  • Affiliations:
  • -

  • Venue:
  • ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
  • Year:
  • 2002

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Abstract

A graph extension oft wo-way alternating automata on trees is considered. The following problem: "does a given automaton accept any finite graph?" is proven EXPTIME complete. Using this result, the decidability ofthe finite model problem for the modal 碌-calculus with backward modalities is shown.