2026-08-06T02:05:20Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:19673 2024-03-06T11:04:37Z ddc:004 open_access

A Many-Sorted Epistemic Logic for Chromatic Hypergraphs Goubault, Éric Kniazev, Roman Ledent, Jérémy Modal logics epistemic logics multi-agent systems hypergraphs We propose a many-sorted modal logic for reasoning about knowledge in multi-agent systems. Our logic introduces a clear distinction between participating agents and the environment. This allows to express local properties of agents and global properties of worlds in a uniform way, as well as to talk about the presence or absence of agents in a world. The logic subsumes the standard epistemic logic and is a conservative extension of it. The semantics is given in chromatic hypergraphs, a generalization of chromatic simplicial complexes, which were recently used to model knowledge in distributed systems. We show that the logic is sound and complete with respect to the intended semantics. We also show a further connection of chromatic hypergraphs with neighborhood frames. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Éric Goubault and Roman Kniazev and Jérémy Ledent 2024 Is Part Of LIPIcs, Volume 288, 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CSL.2024.30 urn:nbn:de:0030-drops-196730 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.30 eng https://creativecommons.org/licenses/by/4.0/legalcode