Emptiness Is Decidable for Asynchronous Cellular Machines

  • Authors:
  • Dietrich Kuske

  • Affiliations:
  • -

  • Venue:
  • CONCUR '00 Proceedings of the 11th International Conference on Concurrency Theory
  • Year:
  • 2000

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Abstract

We resume the investigation of asynchronous cellular automata. Originally, these devices were considered in the context of Mazurkiewicz traces, and later generalized to run on arbitrary pomsets without autoconcurrency by Droste and Gastin [3]. While the universality of the accepted language is known to be undecidable [11], we show here that the emptiness is decidable. Our proof relies on a result due to Finkel and Schnoebelen [7] on well-structured transition systems.