A complete axiomatisation of reversible Kleene lattices

Abstract : We consider algebras of languages over the signature of reversible Kleene lattices, that is the regular operations (empty and unit languages, union, concatenation and Kleene star) together with intersection and mirror image. We provide a complete set of axioms for the equational theory of these algebras. This proof was developed in the proof assistant Coq.
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https://hal.archives-ouvertes.fr/hal-02024864
Contributor : Paul Brunet <>
Submitted on : Monday, April 22, 2019 - 11:58:30 AM
Last modification on : Monday, May 13, 2019 - 10:48:50 AM

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  • HAL Id : hal-02024864, version 2
  • ARXIV : 1902.08048

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Paul Brunet. A complete axiomatisation of reversible Kleene lattices. 2019. ⟨hal-02024864v2⟩

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