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Introducing Probabilistic Reasoning within Event-B

Abstract : Event-B is a proof-based formal method used for discrete systems modelling. Several works have previously focused on the extension of Event-B for the description of probabilistic systems. In this paper, we propose an extension of Event-B that allows designing fully probabilistic systems as well as systems containing both probabilistic and non-deterministic choices. Compared to existing approaches which only focus on probabilistic assignments, our approach allows expressing probabilistic choices in all places where non-deterministic choices originally appear in a standard Event-B model: in the choice between enabled events, event-parameter values and in probabilistic assignments. Furthermore, we introduce novel and adapted proof-obligations for the consistency of such systems and introduce two key aspects to incremental design: probabilisation of existing events and refinement through the addition of new probabilistic events. In particular, we provide proof-obligations for the almost-certain convergence of a set of new events, which is a required property in order to prove standard refinement in this context. Finally, we propose a fully detailed case study, which we use throughout the paper to illustrate our new constructions.
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https://hal.archives-ouvertes.fr/hal-01610778
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Submitted on : Thursday, October 5, 2017 - 9:56:25 AM
Last modification on : Friday, August 5, 2022 - 2:54:51 PM
Long-term archiving on: : Monday, January 8, 2018 - 12:22:31 PM

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  • HAL Id : hal-01610778, version 1

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Mohamed Amine Aouadhi, Benoît Delahaye, Arnaud Lanoix. Introducing Probabilistic Reasoning within Event-B. Software and Systems Modeling, Springer Verlag, 2019. ⟨hal-01610778⟩

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