A Complete Axiomatisation of a Fragment of Language Algebra

conference paper, in CSL 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.

Related talks

A complete axiomatisation of a fragment of language algebra
CSL in Barcelona, January 2020
.
More
The theory of languages
Highlights in London, September 2017
.
More
The Equational Theory of Algebras of Languages
BLAST in Nashville, August 2017
.
More
The Equational Theory of Algebras of Languages
RAMiCS in Lyon, May 2017
(Special session on mechanised reasoning)
.
More
The Equational Theory of Algebras of Languages
PPLV Seminar in London, April 2017
.
More

Related papers

Reversible Kleene lattices (in MFCS 2017) More

Updated: