TY - JOUR A1 - Desharnais, Jules A1 - Möller, Bernhard A1 - Struth, Georg T1 - Modal Kleene algebra and applications - a survey T2 - Journal on Relational Methods in Computer Science N2 - 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. Y1 - 2004 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/35968 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-359682 UR - http://www.cosc.brocku.ca/Faculty/Winter/JoRMiCS/Vol1/PDF/v1n5.pdf N1 - Special Issue: Relational Methods in Computer Science VL - 1 SP - 93 EP - 131 ER -