Dexter Kozen
Abstract
We give a finitary axiomatization of the algebra of regular events involving only equations and equational implications. Unlike Salomaa′s axiomatizations, the axiomatization given here is sound for all interpretations over Kleene algebras.
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We give a finitary axiomatization of the algebra of regular events involving only equations and equational implications. Unlike Salomaa′s axiomatizations, the axiomatization given here is sound for all interpretations over Kleene algebras.
Key concepts: Finitary, Kleene algebra, Kleene's recursion theorem, Completeness (order theory), Mathematics, Gödel's completeness theorem, Algebra over a field, Universal algebra