A complete axiomatisation of a fragment of language algebra

CSL in Barcelona, January 2020
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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Related papers

A Complete Axiomatisation of a Fragment of Language Algebra (in CSL 2020) More
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