On the expressiveness of asynchronous cellular automata

  • Authors:
  • Benedikt Bollig

  • Affiliations:
  • Lehrstuhl für Informatik II, RWTH Aachen, Germany

  • Venue:
  • FCT'05 Proceedings of the 15th international conference on Fundamentals of Computation Theory
  • Year:
  • 2005

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Abstract

We show that a slightly extended version of asynchronous cellular automata, relative to any class of pomsets and dags without autoconcurrency, has the same expressive power as the existential fragment of monadic second-order logic. In doing so, we provide a framework that unifies many approaches to modeling distributed systems such as the models of asynchronous trace automata and communicating finite-state machines. As a byproduct, we exhibit classes of pomsets and dags for which the radius of graph acceptors can be reduced to 1.