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Dualities for modal N4-lattices

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dc.contributor.authorJansana, Ramon
dc.contributor.authorRivieccio, Umberto
dc.date.accessioned2024-12-02T11:37:04Z
dc.date.available2024-12-02T11:37:04Z
dc.date.issued2014-08
dc.descriptionEste es el manuscrito aceptado del artículo. La versión registrada fue publicada por primera vez en Logic Journal of the IGPL, 22 (4), 2014, p. 608-637, está disponible en línea en el sitio web del editor: https://doi.org/10.1093/jigpal/jzu002 This is the accepted manuscript of the article. The registered version was first published in Logic Journal of the IGPL, 22 (4), 2014, p. 608-637, is available online at the publisher's website: https://doi.org/10.1093/jigpal/jzu002
dc.description.abstractWe introduce a new Priestley-style topological duality for N4-lattices, which are the algebraic counterpart of paraconsistent Nelson logic. Our duality differs from the existing one, due to S. Odintsov, in that we only rely on Esakia duality for Heyting algebras and not on the duality for De Morgan algebras of Cornish and Fowler. A major advantage of our approach is that we obtain a simple description for our topological structures, which allows us to extend the duality to other algebraic structures such as N4-lattices with monotonic modal operators, and also to provide a neighbourhood semantics for the non-normal modal logic corresponding to these algebras.en
dc.description.versionversión final
dc.identifier.citationUmberto Rivieccio and Ramon Jansana, Dualities for modal N4-lattices. Logic Journal of the IGPL, 22 (4), 2014, p. 608-637; https://doi.org/10.1093/jigpal/jzu002
dc.identifier.doihttps://doi.org/10.1093/jigpal/jzu002
dc.identifier.issn1367-0751; e-ISSN: 1368-9894
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24630
dc.journal.issue4
dc.journal.titleLogic Journal of the IGPL
dc.journal.volume22
dc.language.isoen
dc.page.final637
dc.page.initial608
dc.publisherOxford University Press
dc.relation.centerFacultades y escuelas::Facultad de Filosofía
dc.relation.departmentLógica, Historia y Filosofía de la Ciencia
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject11 Lógica
dc.subject.keywordsN4-latticeen
dc.subject.keywordsparaconsistent Nelson logicen
dc.subject.keywordsPriestley dualityen
dc.subject.keywordstwist-structureen
dc.subject.keywordsEsakia dualityen
dc.titleDualities for modal N4-latticesen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication78477d31-191f-4cbb-b9ff-32b8ec63d72b
relation.isAuthorOfPublication.latestForDiscovery78477d31-191f-4cbb-b9ff-32b8ec63d72b
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