2026-08-04T08:50:11Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:11669 2024-03-06T10:48:44Z ddc:004 open_access

Expressive Logics for Coinductive Predicates Kupke, Clemens Rot, Jurriaan Coalgebra Fibration Modal Logic 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Clemens Kupke and Jurriaan Rot 2020 Is Part Of LIPIcs, Volume 152, 28th EACSL Annual Conference on Computer Science Logic (CSL 2020) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CSL.2020.26 urn:nbn:de:0030-drops-116698 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2020.26 eng https://creativecommons.org/licenses/by/3.0/legalcode