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Certified Impossibility Results for Byzantine-Tolerant Mobile Robots

Abstract : We propose a framework to build formal developments for robot networks using the COQ proof assistant, to state and to prove formally various properties. We focus in this paper on impossibility proofs, as it is natural to take advantage of the COQ higher order calculus to reason about algorithms as abstract objects. We present in particular formal proofs of two impossibility results forconvergence of oblivious mobile robots if respectively more than one half and more than one third of the robots exhibit Byzantine failures, starting from the original theorems by Bouzid et al.. Thanks to our formalization, the corresponding COQ developments are quite compact. To our knowledge, these are the first certified (in the sense of formally proved) impossibility results for robot networks.
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Contributor : Xavier Urbain Connect in order to contact the contributor
Submitted on : Tuesday, June 18, 2013 - 4:46:00 PM
Last modification on : Wednesday, October 26, 2022 - 8:14:16 AM
Long-term archiving on: : Thursday, September 19, 2013 - 4:07:50 AM


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  • HAL Id : hal-00834633, version 1
  • ARXIV : 1306.4242


Cédric Auger, Zohir Bouzid, Pierre Courtieu, Sébastien Tixeuil, Xavier Urbain. Certified Impossibility Results for Byzantine-Tolerant Mobile Robots. [Research Report] 1560, LRI - CNRS, University Paris-Sud. 2013. ⟨hal-00834633⟩



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