Affiliation:
1. Dept. of Mathematics and Computing Science, Post-box 800, 9700 AV Groningen, Rijksuniversiteit Groningen, The Netherlands
Abstract
Abstract
We describe the construction of a distributed algorithm with asynchronous communication together with a mechanically verified proof of correctness. For this purpose we treat Segall's PIF algorithm (propagation of information with feedback). The proofs are based on invariants, and variant functions for termination. The theorem prover NQTHM is used to deal with the many case distinctions due to asynchronous distributed computation. Emphasis is on the modelling assumptions, the treatment of nondeterminacy, the forms of termination detection, and the proof obligations for a complete mechanical proof. Finally, a comparison is made with (the proof of) the minimum spanning tree algorithm of Gallager, Humblet, and Spira, for which the technique was developed.
Publisher
Association for Computing Machinery (ACM)
Subject
Theoretical Computer Science,Software
Cited by
9 articles.
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