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

Autor: van Hulst, Allan
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 15 pages, for Coq-proofs contact the author
Databáze: arXiv