Complementation, Disambiguation, and Determinization of Büchi Automata Unified

  • Authors:
  • Detlef Kähler;Thomas Wilke

  • Affiliations:
  • Institut für Informatik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany 24098;Institut für Informatik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany 24098

  • Venue:
  • ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part I
  • Year:
  • 2008

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Abstract

We present a uniform framework for (1) complementing Büchi automata, (2) turning Büchi automata into equivalent unambiguous Büchi automata, and (3) turning Büchi automata into equivalent deterministic automata. We present the first solution to (2) which does not make use of McNaughton's theorem (determinization) and an intuitive and conceptually simple solution to (3).Our results are based on Muller and Schupp's procedure for turning alternating tree automata into non-deterministic ones.