Modal Logics are Coalgebraic

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 this coalgebraic nature 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.

Contributors

Corina Cîrstea

Alexander Kurz

Dirk Pattinson

Lutz Schröder

Yde Venema

Conference

Publication date: September 2008

Publication date (Print): September 2008

Pages: 129-140

Affiliations

School of Electronics and Computer Science

University of Southampton

Department of Computer Science

University of Leicester

Depart. of Computing

Imperial College London

DFKI-Lab Bremen and

University of Bremen

Institute for Logic, Language and Computation

Universiteit van Amsterdam

Article

DOI: 10.14236/ewic/VOCS2008.12

Copyright statement: © Corina Cîrstea et al. Published by BCS Learning and Development Ltd. Visions of Computer Science - BCS International Academic Conference

License:

This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Conference name: Visions of Computer Science - BCS International Academic Conference

Conference acronym: VOCS

Conference number:

Conference location: Imperial College, London, UK

Conference date: 22 - 24 September 2008

Conference sponsor: Electronic Workshops in Computing (eWiC)

Conference theme: BCS International Academic Conference

Product

Product Information: 1477-9358BCS Learning & Development

Self URI (article page): https://www.scienceopen.com/hosted-document?doi=10.14236/ewic/VOCS2008.12

Self URI (journal page): https://ewic.bcs.org/

Categories

Series title: Electronic Workshops in Computing