InforLorV4, Hal, Checkpoint, bibRecord, 001B32

Formal Verification of Consensus Algorithms Tolerating Malicious Faults

Identifieur interne : 001B32 ( Hal/Checkpoint ); précédent : 001B31; suivant : 001B33

Formal Verification of Consensus Algorithms Tolerating Malicious Faults

Auteurs : Bernadette Charron-Bost [France] ; Henri Debrat [France] ; Stephan Merz [France]

Source :

RBID : Hal:hal-00639048

English descriptors

mix :
- consensus, formal verification, malicious faults, theorem proving.

Abstract

Consensus is the paradigmatic problem in fault-tolerant distributed computing: it requires network nodes that communicate by message passing to agree on a common value even in the presence of (benign or malicious) faults. Several algorithms for solving Consensus exist, but few of them have been rigorously verified, much less so formally. The Heard-Of model proposes a simple, unifying framework for defining distributed algorithms in the presence of communication faults. Algorithms proceed in communication-closed rounds, and assumptions on the faults tolerated by the algorithm are stated abstractly in the form of communication predicates. Extending previous work on the case of benign faults, our approach relies on the fact that properties such as Consensus can be verified over a coarse-grained, round-based representation of executions. We have encoded the Heard-Of model in the interactive proof assistant Isabelle/HOL and have used this encoding to formally verify three Consensus algorithms based on synchronous and asynchronous assumptions. Our proofs give some new insights into the correctness of the algorithms, in particular with respect to transient faults.

Url:

https://hal.inria.fr/hal-00639048

DOI: 10.1007/978-3-642-24550-3_11

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 002386
to stream Hal, to step Curation: 002386

Links to Exploration step

Hal:hal-00639048

Le document en format XML

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<abstract xml:lang="en">Consensus is the paradigmatic problem in fault-tolerant distributed computing: it requires network nodes that communicate by message passing to agree on a common value even in the presence of (benign or malicious) faults. Several algorithms for solving Consensus exist, but few of them have been rigorously verified, much less so formally. The Heard-Of model proposes a simple, unifying framework for defining distributed algorithms in the presence of communication faults. Algorithms proceed in communication-closed rounds, and assumptions on the faults tolerated by the algorithm are stated abstractly in the form of communication predicates. Extending previous work on the case of benign faults, our approach relies on the fact that properties such as Consensus can be verified over a coarse-grained, round-based representation of executions. We have encoded the Heard-Of model in the interactive proof assistant Isabelle/HOL and have used this encoding to formally verify three Consensus algorithms based on synchronous and asynchronous assumptions. Our proofs give some new insights into the correctness of the algorithms, in particular with respect to transient faults.</abstract>
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Formal Verification of Consensus Algorithms Tolerating Malicious Faults

Formal Verification of Consensus Algorithms Tolerating Malicious Faults

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