Modal Kleene algebra and applications - a survey

  • Modal Kleene algebras are Kleene algebras with forward and backward modal operators defined via domain and codomain operations. They provide a concise and convenient algebraic framework that subsumes various other calculi and allows treating quite a variety of areas. We survey the basic theory and some prominent applications. These include, on the system semantics side, Hoare logic and PDL (Propositional Dynamic Logic), wp calculus and predicate transformer semantics, temporal logics and termination analysis of rewrite and state transition systems. On the derivation side we apply the framework to game analysis and greedy-like algorithms.

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Author:Jules DesharnaisGND, Bernhard MöllerGND, Georg StruthGND
Frontdoor URL
Parent Title (English):Journal on Relational Methods in Computer Science
Year of first Publication:2004
Publishing Institution:Universität Augsburg
Release Date:2017/07/21
First Page:93
Last Page:131
Special Issue: Relational Methods in Computer Science
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Fakultät für Angewandte Informatik / Institut für Informatik / Professur für Programmiermethodik und Multimediale Informationssysteme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Deutsches Urheberrecht