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arXiv · 2111.11144

A Complete Axiom System for 1-Free Kleene Star Expressions under Bisimilarity: An Elementary Proof

Allan van Hulst
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Abstract

Grabmayer and Fokkink recently presented a finite and complete axiomatization for 1-free process terms over the binary Kleene star under bismilarity equivalence (proceedings of LICS 2020, preprint available). A different and considerably simpler proof is detailed in this paper. This result, albeit still somewhat technical, only relies on induction and normal forms and is therefore also much closer to a potential rewriting algorithm. In addition, a complete verification in the Coq proof assistant of all results in this work is provided, but correctness does not depend upon any computer-assisted methodology.

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Allan van Hulst. 2021-11-22. A Complete Axiom System for 1-Free Kleene Star Expressions under Bisimilarity: An Elementary Proof. https://arxiv.org/abs/2111.11144

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