Muller message-passing automata and logics

  • Authors:
  • Benedikt Bollig;Dietrich Kuske

  • Affiliations:
  • LSV, ENS Cachan, CNRS, 61 Av. du Président Wilson, F-94235 Cachan Cedex, France;Institut für Informatik, Universität Leipzig, Postfach 100920, D-04009 Leipzig, Germany

  • Venue:
  • Information and Computation
  • Year:
  • 2008

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Abstract

We study nonterminating message-passing automata whose behavior is described by infinite message sequence charts. As a first result, we show that Muller, Buchi, and termination-detecting Muller acceptance are equivalent for these devices. To describe the expressive power of these automata, we give a logical characterization. More precisely, we show that they have the same expressive power as the existential fragment of a monadic second-order logic featuring a first-order quantifier to express that there are infinitely many elements satisfying some property. This result is based on Vinner's extension of the classical Ehrenfeucht-Fraisse game to cope with the infinity quantifier.