Message-passing automata are expressively equivalent to EMSO logic

  • Authors:
  • Benedikt Bollig;Martin Leucker

  • Affiliations:
  • Lehrstuhl für Informatik II, RWTH Aachen, Germany;Institut für Informatik, TU München, Germany

  • Venue:
  • Theoretical Computer Science - Concurrency theory (CONCUR 2004)
  • Year:
  • 2006

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Abstract

We study the expressiveness of finite message-passing automata with a priori unbounded FIFO channels and show them to capture exactly the class of MSC languages that are definable in existential monadic second-order logic interpreted over MSCs. Furthermore, we prove the monadic quantifier-alternation hierarchy over MSCs to be infinite and conclude that the class of MSC languages accepted by message-passing automata is not closed under complement.