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A Generic Rewrite Method for Proving Self-Stabilization

By Joffroy Beauquier, Béatrice Bérard and Laurent Fribourg


Self-stabilization is a property of distributed systems. It guarantees that, whatever the initial state, the system always reaches a stable set of states, called "legitimate configurations", within a finite number of steps. The proof of convergence is generally done by exhibiting a measure that strictly decreases until a legitimate configuration is reached. The discovery of such a measure is very specific and requires a deep understanding of the studied transition system. In contrast we propose here a simple and generic proof method of convergence, which regards self-stabilizing systems as string rewrite systems, and adapts a procedure initially designed by Dershowitz for proving (non)termination of string rewrite systems

Year: 1998
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