Verification of Clock Synchronization Algorithms: Experiments on a combination of deductive tools

Damian Barsotti 1 Leonor Prensa Nieto 1 Alwen Tiu 1
1 MOSEL - Proof-oriented development of computer-based systems
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We report on an experiment in combining the theorem prover Isabelle with automatic first-order arithmetic provers to increase automation on the verification of distributed protocols. As a case study for the experiment we verify several averaging clock synchronization algorithms. We present a formalization of Schneider's generalized clock synchronization protocol in Isabelle/HOL. Then, we verify that the convergence functions used in two clock synchronization algorithms, namely, the Interactive Convergence Algorithm (ICA) of Lamport and Melliar-Smith~\cite{lamport_cs} and the Fault-tolerant Midpoint algorithm of Lundelius-Lynch, satisfy Schneider's general conditions for correctness. The proofs are completely formalized in Isabelle/HOL. We identify the parts of the proofs which are not fully automatically proven by Isabelle built-in tactics and show that these proofs can be handled by automatic first-order provers with support for arithmetic like ICS and CVC Lite.
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Communication dans un congrès
Fifth International Workshop on Automated Verification of Critical Systems 2005 - AVoCS '05, Sep 2005, Coventry/UK, Elsevier, 2005
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Contributeur : Leonor Prensa Nieto <>
Soumis le : jeudi 10 novembre 2005 - 14:01:26
Dernière modification le : jeudi 11 janvier 2018 - 06:19:52
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Damian Barsotti, Leonor Prensa Nieto, Alwen Tiu. Verification of Clock Synchronization Algorithms: Experiments on a combination of deductive tools. Fifth International Workshop on Automated Verification of Critical Systems 2005 - AVoCS '05, Sep 2005, Coventry/UK, Elsevier, 2005. 〈inria-00000638〉

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