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Kleene algebra with tests: Completeness and decidability

  • Dexter Kozen
  • Frederick Smith
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1258)

Abstract

Kleene algebras with tests provide a rigorous framework for equational specification and verification. They have been used successfully in basic safety analysis, source-to-source program transformation, and concurrency control. We prove the completeness of the equational theory of Kleene algebra with tests and-continuous Kleene algebra with tests over language-theoretic and relational models. We also show decidability. Cohen's reduction of Kleene algebra with hypotheses of the form r=0 to Kleene algebra without hypotheses is simplified and extended to handle Kleene algebras with tests.

Keywords

Boolean Algebra Relational Model Regular Expression Equational Theory Concurrency Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Dexter Kozen
    • 1
  • Frederick Smith
    • 1
  1. 1.Computer Science DepartmentCornell UniversityIthacaUSA

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