Nested Emptiness Search for Generalized Büchi Automata

  • Authors:
  • Heikki Tauriainen

  • Affiliations:
  • Helsinki University of Technology, Laboratory for Theoretical Computer Science, P. O. Box 5400, FI-02015 TKK, Finland. E-mail: heikki.tauriainen@tkk.fi

  • Venue:
  • Fundamenta Informaticae - APPLICATION OF CONCURRENCY TO SYSTEM DESIGN (ACSD'04)
  • Year:
  • 2006

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Abstract

We generalize the classic explicit-state emptiness checking algorithm for Büchi word automata (the nested depth-first search) into Büchi automata with multiple acceptance conditions. Avoiding a degeneralization step improves the algorithm's worst-case memory requirements and reduces the worst-case number of state visits during the search. We give experimental results and discuss changes needed to make the generalized algorithmcompatible with well-known probabilistic explicit-state model checking techniques.