Modal logics are coalgebraic
Date
2011
Authors
Cirstea, Corina
Kurz, Alexander
Pattinson, Dirk
Schroder, Lutz
Venema, Yde
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Publisher
Oxford University Press
Abstract
Applications of modal logics are abundant in computer science, and a large number of structurally different modal logics have been successfully employed in a diverse spectrum of application contexts. Coalgebraic semantics, on the other hand, provides a uniform and encompassing view on the large variety of specific logics used in particular domains. The coalgebraic approach is generic and compositional: tools and techniques simultaneously apply to a large class of application areas and can, moreover, be combined in a modular way. In particular, this facilitates a pick-and-choose approach to domain-specific formalisms, applicable across the entire scope of application areas, leading to generic software tools that are easier to design, to implement and to maintain. This paper substantiates the authors' firm belief that the systematic exploitation of the coalgebraic nature of modal logic will not only have impact on the field of modal logic itself but also lead to significant progress in a number of areas within computer science, such as knowledge representation and concurrency/mobility.
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Keywords
Keywords: Application area; Application contexts; Coalgebraic; Coalgebraic semantics; Coalgebras; Compositionality; concurrency; Domain specific; Generic softwares; Large class; Modal logic; Scope of application; Tools and techniques; Automata theory; Computer scie automata theory; coalgebra; compositionality; concurrency; knowledge representation; modal logic
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Source
The Computer Journal
Type
Journal article
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2037-12-31
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