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Certified Impossibility Results and Analyses in Coq of Some Randomised Distributed Algorithms

  • Allyx FontaineEmail author
  • Akka Zemmari
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9965)

Abstract

Randomised algorithms are generally simple to formulate. However, their analysis can become very complex, especially in the field of distributed computing. In this paper, we formally model in Coq a class of randomised distributed algorithms. We develop some tools to help proving impossibility results about classical problems and analysing this class of algorithms. As case studies, we examine the handshake and maximal matching problems. We show how to use our tools to formally prove properties about algorithms solving those problems.

Notes

Acknowledgement

The authors are grateful to P. Castéran who follows this work all along. We particularly thank him for his first proof in Coq of the impossibility result stated in Sect. 4.1 and for the development of the semantics that is the base of their development. They also thank C. Paulin-Mohring and A. Mahboubi for their help using Alea and ssreflect respectively.

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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.Université de la Guyane, UMR ESPACE-DEVCayenneFrance
  2. 2.Université de Bordeaux, LaBRI UMR CNRS 5800BordeauxFrance

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