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Representation of interlaced trilattices

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dc.contributor.authorRivieccio, Umberto
dc.date.accessioned2024-05-21T12:53:11Z
dc.date.available2024-05-21T12:53:11Z
dc.date.issued2013
dc.description.abstractTrilattices are algebraic structures introduced ten years ago into logic with the aim to provide a uniform framework for the notions of constructive truth and constructive falsity. In more recent years, trilattices have been used to introduce a number of many-valued systems that generalize the Belnap–Dunn logic of first-degree entailment, proposed as logics of how several computers connected together in a network should think in order to deal with incomplete and possibly contradictory information. The aim of the present work is to develop a first purely algebraic study of trilattices, focusing in particular on the problem of representing certain subclasses of trilattices as special products of bilattices. This approach allows to extend the known representation results for interlaced bilattices to the setting of trilattices and to reduce many algebraic problems concerning these new structures to the better-known framework of lattice theory.en
dc.description.versionversión original
dc.identifier.doihttps://doi.org/10.1016/j.jal.2013.03.001
dc.identifier.issn1570-8683
dc.identifier.urihttps://hdl.handle.net/20.500.14468/19412
dc.journal.issue2
dc.journal.titleJournal of Applied Logic
dc.journal.volume11
dc.language.isoen
dc.publisherElsevier
dc.relation.centerFacultades y escuelas::Facultad de Filosofía
dc.relation.departmentLógica, Historia y Filosofía de la Ciencia
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.keywordsTrilattices
dc.subject.keywordsRepresentation
dc.subject.keywordsBilattices
dc.subject.keywordsGeneralized truth values
dc.subject.keywordsMultilattices
dc.titleRepresentation of interlaced trilatticeses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
person.familyNameRivieccio
person.givenNameUmberto
person.identifier.orcid0000-0003-1364-5003
relation.isAuthorOfPublication78477d31-191f-4cbb-b9ff-32b8ec63d72b
relation.isAuthorOfPublication.latestForDiscovery78477d31-191f-4cbb-b9ff-32b8ec63d72b
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