Article ID Journal Published Year Pages File Type
427405 Information Processing Letters 2016 5 Pages PDF
Abstract

•Kleene algebras with domain are more expressive than Kleene algebras with tests.•Kleene algebras with domain are expressive for propositional Hoare logic.•Kleene algebras with tests are not expressive for this formalism.

It is shown that antidomain semirings are more expressive than test semirings and that Kleene algebras with domain are more expressive than Kleene algebras with tests. It is also shown that Kleene algebras with domain are expressive for propositional Hoare logic whereas Kleene algebras with tests are not.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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