Equivalence and inclusion problem for strongly unambiguous büchi automata

  • Authors:
  • Nicolas Bousquet;Christof Löding

  • Affiliations:
  • ENS Chachan, France;Informatik 7, RWTH Aachen, Aachen, Germany

  • Venue:
  • LATA'10 Proceedings of the 4th international conference on Language and Automata Theory and Applications
  • Year:
  • 2010

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Abstract

We consider the inclusion and equivalence problem for unambiguous Büchi automata. We show that for a strong version of unambiguity introduced by Carton and Michel these two problems are solvable in polynomial time. We generalize this to Büchi automata with a fixed finite degree of ambiguity in the strong sense. We also discuss the problems that arise when considering the decision problems for the standard notion of ambiguity for Büchi automata.