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Completeness for Identity-free Kleene Lattices

Prelegent(ci)
Amina Doumane
Afiliacja
Uniwersytet Warszawski
Termin
13 lutego 2019 14:15
Pokój
p. 5050
Seminarium
Seminarium „Teoria automatów”

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.