Self-similar Functions and Population Protocols: A Characterization and a Comparison

  • Authors:
  • Swapnil Bhatia;Radim Bartoš

  • Affiliations:
  • Department of Computer Science, Univ. of New Hampshire, Durham,;Department of Computer Science, Univ. of New Hampshire, Durham,

  • Venue:
  • ICDCN '09 Proceedings of the 10th International Conference on Distributed Computing and Networking
  • Year:
  • 2009

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Abstract

Chandy et al. proposed the methodology of "self-similar algorithms" for distributed computation in dynamic environments. We further characterize the class of functions computable by such algorithms by showing that self-similarity induces an additive relationship among the level-sets of such functions. Angluin et al. introduced the population protocol model for computation in mobile sensor networks and characterized the class of predicates computable in a standard population. We define and characterize the class of self-similar predicates and show when they are computable by a population protocol.