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Modal twist-structures over residuated lattices

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dc.contributor.authorOno, Hiroakira
dc.contributor.authorRivieccio, Umberto
dc.date.accessioned2024-12-02T12:11:09Z
dc.date.available2024-12-02T12:11:09Z
dc.date.issued2014-06
dc.descriptionEste es el manuscrito aceptado del artículo. La versión registrada fue publicada por primera vez en Logic Journal of the IGPL, 22 (3), 2014, p. 440-457, está disponible en línea en el sitio web del editor: https://doi.org/10.1093/jigpal/jzt043 This is the accepted manuscript of the article. The registered version was first published in Logic Journal of the IGPL, 22 (3), 2014, p. 440-457, is available online at the publisher's website: https://doi.org/10.1093/jigpal/jzt043
dc.description.abstractWe introduce a class of algebras, called twist-structures, whose members are built as special squares of an arbitrary residuated lattice. We show how our construction relates to and encompasses results obtained by several authors on the algebraic semantics of non-classical logics. We define a logic that corresponds to our twist-structures and show how to expand it with modal operators, obtaining a paraconsistent many-valued modal logic that generalizes existing work on modal expansions of both Belnap–Dunn logic and paraconsistent Nelson logic.en
dc.description.versionversión final
dc.identifier.citationUmberto Rivieccio and Hiroakira Ono, Modal twist-structures over residuated lattices. Logic Journal of the IGPL, 22 (3), 2014, p. 440-457; https://doi.org/10.1093/jigpal/jzt043
dc.identifier.doihttps://doi.org/10.1093/jigpal/jzt043
dc.identifier.issn1367-0751
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24633
dc.journal.issue3
dc.journal.titleLogic Journal of the IGPL
dc.journal.volume22
dc.language.isoen
dc.page.final457
dc.page.initial440
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.keywordsTwist-structureen
dc.subject.keywordsparaconsistent modal logicen
dc.subject.keywordsNelson logicen
dc.subject.keywordsmany-valued logicen
dc.subject.keywordsbilatticeen
dc.subject.keywordsresiduated latticeen
dc.titleModal twist-structures over residuated 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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