General program equivalence is undecidable. However, if we abstract away the semantics of statements, then this problem becomes not just decidable, but practically feasible. For instance, a program of the form if b then e else f should be equivalent to if not b then f else e—no matter what b, e and f are. This kind of equivalence is known as propositional equivalence. In this extended abstract, we discuss recent developments in propositional program equivalence from the perspective of (Guarded) Kleene Algebra with Tests, or (G)KAT.

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On Propositional Program Equivalence (Extended Abstract)

  • Tobias Kappé

摘要

General program equivalence is undecidable. However, if we abstract away the semantics of statements, then this problem becomes not just decidable, but practically feasible. For instance, a program of the form if b then e else f should be equivalent to if not b then f else e—no matter what b, e and f are. This kind of equivalence is known as propositional equivalence. In this extended abstract, we discuss recent developments in propositional program equivalence from the perspective of (Guarded) Kleene Algebra with Tests, or (G)KAT.