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A Stepwise Development of the Peterson’s Mutual Exclusion Algorithm Using B Abstract Systems

  • J. Christian Attiogbé
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3455)

Abstract

We present a stepwise formal development of the Peterson’s mutual exclusion algorithm using Event B. We use a bottom-up approach where we introduce the parallel composition of subsystems which are separately specified. First, we specify subsystems as B abstract systems; then we compose the subsystems to get a first abstract solution for the mutual exclusion. This solution is improved to obtain the Peterson’s algorithm. This is achieved by refinement and composition of the former abstract subsystems. Therefore the result is formally proved on the basis of correctness (safety) properties added to the invariant. Atelier B (a B prover) is used to check completely the development.

Keywords

Event B Parallel Composition Refinement Mutual Exclusion 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • J. Christian Attiogbé
    • 1
  1. 1.LINA – FRE CNRS 2729University of NantesFrance

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