Expressibility in the Kleene Algebra of Partial Predicates with the Complement Composition

Ievgen Ivanov,Mykola Nikitchenko

doi:10.1007/978-3-030-39459-2_3

Expressibility in the Kleene Algebra of Partial Predicates with the Complement Composition

Ievgen Ivanov, Mykola Nikitchenko

https://doi.org/10.1007/978-3-030-39459-2_3

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Publication Date: Jan 1, 2020

Affiliation: Taras Shevchenko National University of Kyiv

#Kleene Algebra #Predicate Complement + Show 8 more

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Abstract

AbstractIn the paper we investigate the expressibility of partial predicates in the Kleene algebra extended with the composition of predicate complement and give a necessary and sufficient condition of this expressibility in terms of the existence of an optimal solution of an optimization problem. We also investigate the expressibility in the first-order Kleene algebra with predicate complement. The obtained results may be useful for software verification using an extension of the Floyd-Hoare logic for partial pre- and postconditions. KeywordsFormal methodsSoftware verificationPartial predicateFloyd-Hoare logic

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