Completeness for Identity-free Kleene Lattices

Speaker(s)

Amina Doumane

Affiliation

Uniwersytet Warszawski

Date

Feb. 13, 2019, 2:15 p.m.

Room

room 5050

Seminar

Seminar Automata Theory

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We provide a finite set of axioms for identity-free Kleene lattices, which we prove sound and
complete for the equational theory of their relational models. Our proof builds on the complete-
ness theorem for Kleene algebra, and on a novel automata construction that makes it possible to
extract axiomatic proofs using a Kleene-like algorithm.

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