Equational axioms for regular sets

Author:

Bloom S. L.,Ésik Z.

Abstract

We show that, aside from the semiring equations, three equations and two equation schemes characterize the semiring of regular sets with the Kleene star operation.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Reference20 articles.

1. Bloom S. L. and Ésik Z. (to appear c) Iteration algebras. International Journal of Foundations of Computer Science.

2. Implicational axioms for the algebra of regular languages (in Russian);Gorshkov;Doklady Akad. Nauk, Ukrainian SSR,1987

3. Automata-Theoretic Aspects of Formal Power Series

4. The Kleene theorem in countably complete semirings;Hebish;Bayreuther Mathematische Schriften,1990

5. Bloom S. L. , Ésik Z. and Taubner D. (to appear) Iteration theories of Synchronization trees. Information and Computation.

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