Stably computable predicates are semilinear

  • Authors:
  • Dana Angluin;James Aspnes;David Eisenstat

  • Affiliations:
  • Yale University;Yale University;University of Rochester

  • Venue:
  • Proceedings of the twenty-fifth annual ACM symposium on Principles of distributed computing
  • Year:
  • 2006

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Abstract

We consider the model of population protocols introduced by Angluin et al. [2], in which anonymous finite-state agents stably compute a predicate of their inputs via two-way interactions in the all-pairs family of communication networks. We prove that all predicates stably computable in this model (and certain generalizations of it) are semilinear, answering a central open question about the power of the model.