Kleene algebra with tests

Author:

Kozen Dexter1

Affiliation:

1. Cornell Univ., Ithaca, NY

Abstract

We introduce Kleene algebra with tests, an equational system for manipulating programs. We give a purely equational proof, using Kleene algebra with tests and commutativity conditions, of the following classical result: every while program can be simulated by a while program can be simulated by a while program with at most one while loop. The proof illustrates the use of Kleene algebra with tests and commutativity conditions in program equivalence proofs.

Publisher

Association for Computing Machinery (ACM)

Subject

Software

Reference39 articles.

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