Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/32543
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dc.contributor.authorKurz, Alexander A.-
dc.contributor.authorPalmigiano, Alessandra A.-
dc.date.accessioned2015-07-09T11:54:05Z-
dc.date.available2015-07-09T11:54:05Z-
dc.date.issued2013-12-05-
dc.identifier.citationLogical Methods in Computer Science, 2013, 9 (4), 17en
dc.identifier.issn1860-5974-
dc.identifier.urihttp://www.lmcs-online.org/ojs/viewarticle.php?id=1269en
dc.identifier.urihttp://hdl.handle.net/2381/32543-
dc.description.abstractWe develop the mathematical theory of epistemic updates with the tools of duality theory. We focus on the Logic of Epistemic Actions and Knowledge (EAK), introduced by Baltag-Moss- Solecki, without the common knowledge operator. We dually characterize the product update construction of EAK as a certain construction transforming the complex algebras associated with the given model into the complex algebra associated with the updated model. This dual characterization naturally generalizes to much wider classes of algebras, which include, but are not limited to, arbitrary BAOs and arbitrary modal expansions of Heyting algebras (HAOs). As an application of this dual characterization, we axiomatize the intuitionistic analogue of the logic of epistemic knowledge and actions, which we refer to as IEAK, prove soundness and completeness of IEAK w.r.t. both algebraic and relational models, and illustrate how IEAK encodes the reasoning of agents in a concrete epistemic scenario. © A. Kurz and A. Palmigiano.en
dc.language.isoenen
dc.publisherInternational Federation of Computational Logicen
dc.rightsCopyright © the authors, 2013. This is an Open Access article distributed under the terms of the Creative Commons Attribution No Derivatives License ( http://creativecommons.org/licenses/by-nd/2.0/ ) which permits use and distribution in any medium, provided the original work is properly cited and no modifications or adaptations are made.en
dc.subjectAlgebraic modelsen
dc.subjectDualityen
dc.subjectDynamic epistemic logicen
dc.subjectIntuitionistic dynamic epistemic logicen
dc.subjectIntuitionistic modal logicen
dc.subjectPointfree semanticsen
dc.titleEpistemic Updates on Algebrasen
dc.typeJournal Articleen
dc.identifier.doi10.2168/LMCS-9-
dc.description.statusPeer-revieweden
dc.description.versionPublisher Versionen
dc.type.subtypeJournal Article-
pubs.organisational-group/Organisationen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERINGen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Computer Scienceen
Appears in Collections:Published Articles, College of Science and Engineering

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