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2016 | OriginalPaper | Chapter

Mechanical Verification of a Constructive Proof for FLP

Authors : Benjamin Bisping, Paul-David Brodmann, Tim Jungnickel, Christina Rickmann, Henning Seidler, Anke Stüber, Arno Wilhelm-Weidner, Kirstin Peters, Uwe Nestmann

Published in: Interactive Theorem Proving

Publisher: Springer International Publishing

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Abstract

The impossibility of distributed consensus with one faulty process is a result with important consequences for real world distributed systems e.g., commits in replicated databases. Since proofs are not immune to faults and even plausible proofs with a profound formalism can conclude wrong results, we validate the fundamental result named FLP after Fischer, Lynch and Paterson by using the interactive theorem prover Isabelle/HOL. We present a formalization of distributed systems and the aforementioned consensus problem. Our proof is based on Hagen Völzer’s paper A constructive proof for FLP. In addition to the enhanced confidence in the validity of Völzer’s proof, we contribute the missing gaps to show the correctness in Isabelle/HOL. We clarify the proof details and even prove fairness of the infinite execution that contradicts consensus. Our Isabelle formalization may serve as a starting point for similar proofs of properties of distributed systems.

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previous chapter CoSMed: A Confidentiality-Verified Social Media Platform

next chapter Visual Theorem Proving with the Incredible Proof Machine

https://github.com/ConsensusResearch/flp.

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Title: Mechanical Verification of a Constructive Proof for FLP
Authors: Benjamin Bisping
Paul-David Brodmann
Tim Jungnickel
Christina Rickmann
Henning Seidler
Anke Stüber
Arno Wilhelm-Weidner
Kirstin Peters
Uwe Nestmann
Publisher: Springer International Publishing
Book: Interactive Theorem Proving
Print ISBN: 978-3-319-43143-7

Electronic ISBN: 978-3-319-43144-4

Copyright Year: 2016
DOI: https://doi.org/10.1007/978-3-319-43144-4_7

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