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Completeness Theorems for Kleene algebra with tests and top

Damien Pous ; Jana Wagemaker.
We prove two completeness results for Kleene algebra with tests and a top element, with respect to guarded string languages and binary relations. While the equational theories of those two classes of models coincide over the signature of Kleene algebra, this is no longer the case when we consider an&nbsp;[&hellip;]
Published on September 30, 2024

On Tools for Completeness of Kleene Algebra with Hypotheses

Damien Pous ; Jurriaan Rot ; Jana Wagemaker.
In the literature on Kleene algebra, a number of variants have been proposed which impose additional structure specified by a theory, such as Kleene algebra with tests (KAT) and the recent Kleene algebra with observations (KAO), or make specific assumptions about certain constants, as for instance&nbsp;[&hellip;]
Published on May 16, 2024

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