Proving Distributed Algorithms by Combining Refinement and Local Computations
Identifieur interne : 002B31 ( Main/Merge ); précédent : 002B30; suivant : 002B32Proving Distributed Algorithms by Combining Refinement and Local Computations
Auteurs : Dominique Méry [France] ; Mohammed Mosbah [France] ; Mohammed Tounsi [France]Source :
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Abstract
Abstract: Our approach is directly related to the design of correct-by-construction programs. The main idea relies upon the development of distributed algorithms fol- lowing a top/down approach, which is clearly well known in earlier works of Dijkstra, and to use the refinement for controlling the correctness of the resulting algorithm. It relies on a more fundamental question related to the notion of problem to solve. The methodology can be based on incremental proof-based developments. However, the link between the problem and the first model remains to be expressed and the refine- ment is a real help to justify in a very progressive way the choices of design. We propose in this work a framework combining local computations and refinement to prove the correctness of a large class of distributed algorithms.
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<front><div type="abstract" xml:lang="en">Abstract: Our approach is directly related to the design of correct-by-construction programs. The main idea relies upon the development of distributed algorithms fol- lowing a top/down approach, which is clearly well known in earlier works of Dijkstra, and to use the refinement for controlling the correctness of the resulting algorithm. It relies on a more fundamental question related to the notion of problem to solve. The methodology can be based on incremental proof-based developments. However, the link between the problem and the first model remains to be expressed and the refine- ment is a real help to justify in a very progressive way the choices of design. We propose in this work a framework combining local computations and refinement to prove the correctness of a large class of distributed algorithms.</div>
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