Expressive logics for coinductive predicates
Kupke, Clemens and Rot, Jurriaan; Fernandez, Maribel and Muscholl, Anca, eds. (2020) Expressive logics for coinductive predicates. In: 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, ESP, 26:1--26:18. ISBN 9783959771320 (https://doi.org/10.4230/LIPIcs.CSL.2020.26)
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Abstract
The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only if they satisfy the same formulas in a certain modal logic. In this paper we study this type of result in a general context, moving from transition systems to coalgebras and from bisimilarity to coinductive predicates. We formulate when a logic fully characterises a coinductive predicate on coalgebras, by providing suitable notions of adequacy and expressivity, and give sufficient conditions on the semantics. The approach is illustrated with logics characterising similarity, divergence and a behavioural metric on automata.
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Item type: Book Section ID code: 70789 Dates: DateEvent16 January 2020Published30 September 2019AcceptedSubjects: Science > Mathematics > Electronic computers. Computer science Department: Faculty of Science > Computer and Information Sciences Depositing user: Pure Administrator Date deposited: 11 Dec 2019 11:53 Last modified: 05 Aug 2024 00:50 URI: https://strathprints.strath.ac.uk/id/eprint/70789