Kleene Algebra with Tests: Completeness and Decidability

Kleene Algebra with Tests: Completeness and Decidability (1996)

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by Dexter Kozen , Frederick Smith

Venue:	Proc. 10th Int. Workshop Computer Science Logic (CSL'96), volume 1258 of Lecture Notes in Computer Science
Citations:	19 - 9 self

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Datum	Value	Source
TITLE	Kleene Algebra with Tests: Completeness and Decidability	user correction - Legacy Corrections
AUTHOR NAME	Dexter Kozen	user correction - Legacy Corrections
AUTHOR NAME	Frederick Smith	user correction - Legacy Corrections
AUTHOR AFFIL	Computer Science Department; Cornell University	user correction - Legacy Corrections
AUTHOR ADDR	Ithaca, NY 14853-7501, USA	user correction - Legacy Corrections
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. 1 Introduction A Kleene algebra with tests is an algebraic structure consisting of a Kleene algebra with an embedded Boolean subalgebra. This formalism provides a rigorous framework for equational specification and verification of programs. It has been applied successfully to problems in basic safety analysis, source-to-source program transformation, and concurrency control [3, 4, 5, 17]. Kleene ...	user correction - Legacy Corrections
YEAR	1996	INFERENCE
VENUE	Proc. 10th Int. Workshop Computer Science Logic (CSL'96), volume 1258 of Lecture Notes in Computer Science	INFERENCE
VENUE TYPE	CONFERENCE	INFERENCE
PAGES	244--259	INFERENCE
VOLUME	1258	INFERENCE
CITATIONS	25 found	ParsCit 1.0