Terminating population protocols via some minimal global knowledge assumptions

  • Authors:
  • Othon Michail;Ioannis Chatzigiannakis;Paul G. Spirakis

  • Affiliations:
  • Computer Technology Institute & Press;Computer Technology Institute & Press;Computer Technology Institute & Press

  • Venue:
  • SSS'12 Proceedings of the 14th international conference on Stabilization, Safety, and Security of Distributed Systems
  • Year:
  • 2012

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Abstract

We extend the population protocol model with a cover-time service that informs a walking state every time it covers the whole network. This is simply a known upper bound on the cover time of a random walk. This allows us to introduce termination into population protocols, a capability that is crucial for any distributed system. By reduction to an oracle-model we arrive at a very satisfactory lower bound on the computational power of the model: we prove that it is at least as strong as a Turing Machine of space logn with input commutativity, where n is the number of nodes in the network. We also give a logn-space, but nondeterministic this time, upper bound. Finally, we prove interesting similarities of this model to linear bounded automata.