Verifying self-stabilizing population protocols with Coq

Yuxin Deng, Jean François Monin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

16 Scopus citations

Abstract

Population protocols are an elegant model recently introduced for distributed algorithms running in large and unreliable networks of tiny mobile agents. Correctness proofs of such protocols involve subtle arguments on infinite sequences of events. We propose a general formalization of self-stabilizing population protocols with the Coq proof assistant. It is used in reasoning about a concrete protocol for leader election in complete graphs. The protocol is formally proved to be correct for networks of arbitrarily large size. To this end we develop an appropriate theory of infinite sequences, including results for reasoning on abstractions. In addition, we provide a constructive correctness proof for a leader election protocol in directed rings. An advantage of using a constructive setting is that we get more informative proofs on the scenarios that converge to the desired configurations.

Original languageEnglish
Title of host publicationProceedings - 2009 3rd IEEE International Symposium on Theoretical Aspects of Software Engineering, TASE 2009
PublisherIEEE Computer Society
Pages201-208
Number of pages8
ISBN (Print)9780769537573
DOIs
StatePublished - 2009
Externally publishedYes
Event2009 3rd IEEE International Symposium on Theoretical Aspects of Software Engineering, TASE 2009 - Tianjin, China
Duration: 29 Jul 200931 Jul 2009

Publication series

NameProceedings - 2009 3rd IEEE International Symposium on Theoretical Aspects of Software Engineering, TASE 2009

Conference

Conference2009 3rd IEEE International Symposium on Theoretical Aspects of Software Engineering, TASE 2009
Country/TerritoryChina
CityTianjin
Period29/07/0931/07/09

Keywords

  • Coq
  • Formal verification
  • Population protocols
  • Proof assistant
  • Self-stabilization

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