First-order swap structures semantics for some logics of formal inconsistency

dc.contributor.authorConiglio, Marcelo E.
dc.contributor.authorFigallo-Orellano, Aldo
dc.contributor.authorGolzio, Ana C. [UNESP]
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniv Nacl Sur
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.description.abstractThe logics of formal inconsistency (LFIs, for short) are paraconsistent logics (i.e. logics containing contradictory but nontrivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous approaches to quantified LFIs presented in the literature. The case of QmbC, the simpler quantified LFI expanding classical logic, will be analyzed in detail. An axiomatic extension of QmbC called QLFI1(o), is also studied, which is equivalent to the quantified version of da Costa and D'Ottaviano 3-valued logic J3. The semantical structures for this logic turn out to be Tarkian structures based on twist structures. The expansion of QmbC and QLFI1(o) with a standard equality predicate is also considered.en
dc.description.affiliationUniv Estadual Campinas, Inst Philosophy & Humanities, BR-13083896 Campinas, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, Ctr Log Epistemol & Hist Sci, BR-13083896 Campinas, SP, Brazil
dc.description.affiliationUniv Nacl Sur, Dept Matemat, Bahia Blanca, Buenos Aires, Argentina
dc.description.affiliationSao Paulo State Univ, Fac Philosophy & Sci, Marilia Campus, BR-17525900 Sao Paulo, SP, Brazil
dc.description.affiliationUnespSao Paulo State Univ, Fac Philosophy & Sci, Marilia Campus, BR-17525900 Sao Paulo, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdCNPq: 308524/2014-4
dc.description.sponsorshipIdCNPq: 150064/2018-7
dc.description.sponsorshipIdFAPESP: 2016/21928-0
dc.description.sponsorshipIdFAPESP: 2019/08442-9
dc.identifier.citationJournal Of Logic And Computation. Oxford: Oxford Univ Press, v. 30, n. 6, p. 1257-1290, 2020.
dc.publisherOxford Univ Press
dc.relation.ispartofJournal Of Logic And Computation
dc.sourceWeb of Science
dc.subjectFirst-order logics
dc.subjectlogics of formal inconsistency
dc.subjectparaconsistent logics
dc.subjectswap structures
dc.subjectnon-deterministic matrices
dc.subjecttwist structures
dc.titleFirst-order swap structures semantics for some logics of formal inconsistencyen
dcterms.rightsHolderOxford Univ Press