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Coalgebraic semantics of modal logics: An overview

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dc.contributor.authorKupke, Clemens
dc.contributor.authorPattinson, Dirk
dc.date.accessioned2015-12-13T23:02:25Z
dc.date.issued2011
dc.date.updated2016-02-24T08:44:31Z
dc.description.abstractCoalgebras can be seen as a natural abstraction of Kripke frames. In the same sense, coalgebraic logics are generalised modal logics. In this paper, we give an overview of the basic tools, techniques and results that connect coalgebras and modal logic. We argue that coalgebras unify the semantics of a large range of different modal logics (such as probabilistic, graded, relational, conditional) and discuss unifying approaches to reasoning at this level of generality. We review languages defined in terms of the so-called cover modality, languages induced by predicate liftings as well as their common categorical abstraction, and present (abstract) results on completeness, expressiveness and complexity in these settings, both for basic languages as well as a number of extensions, such as hybrid languages and fixpoints.
dc.identifier.issn0304-3975
dc.identifier.urihttp://hdl.handle.net/1885/84884
dc.publisherElsevier
dc.sourceTheoretical Computer Science
dc.subjectKeywords: Coalgebraic logic; Coalgebraic semantics; Coalgebras; Fixpoints; Hybrid languages; Kripke frames; Modal logic; Techniques and results; Abstracting; Semantics; Probabilistic logics Coalgebra; Modal logic
dc.titleCoalgebraic semantics of modal logics: An overview
dc.typeJournal article
local.bibliographicCitation.issue38
local.bibliographicCitation.lastpage5094
local.bibliographicCitation.startpage5070
local.contributor.affiliationKupke, Clemens, Imperial College London
local.contributor.affiliationPattinson, Dirk, College of Engineering and Computer Science, ANU
local.contributor.authoruidPattinson, Dirk, u4762643
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor100699 - Computer Hardware not elsewhere classified
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciences
local.identifier.ariespublicationf5625xPUB13114
local.identifier.citationvolume412
local.identifier.doi10.1016/j.tcs.2011.04.023
local.identifier.scopusID2-s2.0-79961166775
local.type.statusPublished Version

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