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Introduction de raisonnement probabiliste dans la méthode B événementiel

Mohamed Amine Aouadhi 1 
1 AeLoS - Architectures et Logiciels Sûrs
LS2N - Laboratoire des Sciences du Numérique de Nantes
Abstract : From the best of our knowledge, proof based modeling and verification methods, for example Event-B, are not capable of handling the complete spectrum of quantitative aspects from real-life systems. In particular, modeling probabilistic aspects of systems within Event-B is a problem which has not been well studied in the state of the art. The main difficulties lie in the expression of probabilities and the verification of probabilistic aspects within Event-B. This thesis presents a probabilistic extension of Event-B to support modeling and verification of probabilistic aspects of systems. We denote this extension by probabilistic Event-B. We propose to replace all the non-deterministic choices by probabilistic choices, which allows the description of fully probabilistic systems. The development process in Event-B is based on refinement, we therefore propose some development approaches based on refinement which permit the progressive integration of probabilities in Event-B models. In particular, we study the almost-certain convergence of a set of events within this extension. The Event-B method is equipped with the Rodin platform which we extend to take into consideration the new added elements of our extension. The different aspects of this work are illustrated by several case studies: a peer-to-peer communication protocol, a landing gear system and an emergency brake system.
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Submitted on : Tuesday, July 7, 2020 - 10:23:44 AM
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  • HAL Id : tel-02891799, version 1


Mohamed Amine Aouadhi. Introduction de raisonnement probabiliste dans la méthode B événementiel. Génie logiciel [cs.SE]. Université de Nantes, 2017. Français. ⟨tel-02891799⟩



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