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On expressivity and compositionality in logics for coalgebras

On expressivity and compositionality in logics for coalgebras
On expressivity and compositionality in logics for coalgebras
This paper attempts to unify some of the existing approaches to defining modal logics for coalgebras, from the point of view of constructing the languages employed by these logics. An abstract framework for defining languages for coalgebras from so-called language constructors, corresponding to one-step unfoldings of the coalgebraic structure, is introduced, and a method for deriving expressive languages for coalgebras from suitable choices for the language constructors is described. Moreover, it is shown that the derivation of such languages by means of language constructors is well-behaved w.r.t. various forms of composition between coalgebraic types.
coalgebras, modal logic
Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea
Gumm, H.P.
0f548c4d-2fd9-413d-b97b-e3fc1d2efb75
Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea
Gumm, H.P.
0f548c4d-2fd9-413d-b97b-e3fc1d2efb75

Cirstea, Corina (2003) On expressivity and compositionality in logics for coalgebras. Gumm, H.P. (ed.) 6th International Workshop on Coalgebraic Methods in Computer Science, Warsaw, Poland. 05 - 06 Apr 2003.

Record type: Conference or Workshop Item (Paper)

Abstract

This paper attempts to unify some of the existing approaches to defining modal logics for coalgebras, from the point of view of constructing the languages employed by these logics. An abstract framework for defining languages for coalgebras from so-called language constructors, corresponding to one-step unfoldings of the coalgebraic structure, is introduced, and a method for deriving expressive languages for coalgebras from suitable choices for the language constructors is described. Moreover, it is shown that the derivation of such languages by means of language constructors is well-behaved w.r.t. various forms of composition between coalgebraic types.

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More information

Published date: 2003
Additional Information: Event Dates: 5-6 April 2003
Venue - Dates: 6th International Workshop on Coalgebraic Methods in Computer Science, Warsaw, Poland, 2003-04-05 - 2003-04-06
Keywords: coalgebras, modal logic
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 259145
URI: http://eprints.soton.ac.uk/id/eprint/259145
PURE UUID: 7219e3de-0c7b-4279-b736-6b18d470ec65
ORCID for Corina Cirstea: ORCID iD orcid.org/0000-0003-3165-5678

Catalogue record

Date deposited: 13 Mar 2004
Last modified: 15 Mar 2024 03:18

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Contributors

Author: Corina Cirstea ORCID iD
Editor: H.P. Gumm

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