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• W2053237764 abstract "We propose an approach for proving that a system guarantees to establish a given property eventually with probability one . Using Event-B as our modelling language, our correctness reasoning is a combination of termination proofs (in terms of probabilistic convergence), deadlock-freedom and invariant techniques. We illustrate the approach by formalising some non-trivial algorithms, including the duelling cowboys , Herman’s probabilistic self-stabilisation and Rabin’s choice coordination . We extend the supporting Rodin Platform (Rodin) of Event-B to generate appropriate proof obligations for our reasoning, then subsequently (automatically/interactively) discharge the obligations using the built-in provers of Rodin. • We present an approach for proving almost-certain convergence properties. • The approach is based on Event-B and is supported by the Rodin platform. • It makes use of refinement, probabilistic convergence, and deadlock-freedom reasoning. • We formalise Herman’s probabilistic self-stabilisation, and Rabin’s choice coordination." @default.
• W2053237764 created "2016-06-24" @default.
• W2053237764 creator A5042805366 @default.
• W2053237764 date "2014-02-01" @default.
• W2053237764 modified "2023-10-17" @default.
• W2053237764 title "Reasoning about almost-certain convergence properties using Event-B" @default.
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• W2053237764 doi "https://doi.org/10.1016/j.scico.2013.08.006" @default.
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