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Atomic polymorphism and the existence property

datacite.subject.sdg04:Educação de Qualidadept_PT
dc.contributor.authorFerreira, Gilda
dc.date.accessioned2020-03-02T16:30:39Z
dc.date.available2020-03-02T16:30:39Z
dc.date.issued2018
dc.description.abstractWe present a purely proof-theoretic proof of the existence property for the full intuitionistic first-order predicate calculus, via natural deduction, in which commuting conversions are not needed. Such proof illustrates the potential of an atomic polymorphic system with only three generators of formulas – conditional and first and second-order universal quantifiers – as a tool for proof-theoretical studies.pt_PT
dc.description.sponsorshipThe author acknowledges the support of Fundação para a Ciência e a Tecnologia [UID/MAT/04561/2013, UID/CEC/00408/2013 and grant SFRH/BPD/93278/2013] and is also grateful to Centro de Matemática, Aplicações Fundamentais e Investigação Operacional and LargeScale Informatics Systems Laboratory.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.apal.2018.08.004pt_PT
dc.identifier.issn0168-0072
dc.identifier.urihttp://hdl.handle.net/10400.2/9416
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relationTeoria da demonstração: abordagem lógico-computacional
dc.subjectPredicative polymorphismpt_PT
dc.subjectIntuitionistic predicate calculuspt_PT
dc.subjectExistence propertypt_PT
dc.subjectNatural deductionpt_PT
dc.subjectNormalizationpt_PT
dc.subjectFaithfulnesspt_PT
dc.titleAtomic polymorphism and the existence propertypt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleTeoria da demonstração: abordagem lógico-computacional
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04561%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FCEC%2F00408%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F93278%2F2013/PT
oaire.citation.endPage1316pt_PT
oaire.citation.issue12pt_PT
oaire.citation.startPage1303pt_PT
oaire.citation.titleAnnals of Pure and Applied Logicpt_PT
oaire.citation.volume169pt_PT
oaire.fundingStream5876
oaire.fundingStream5876
person.familyNameFerreira
person.givenNameGilda
person.identifier.ciencia-id0B1A-81E7-88B1
person.identifier.orcid0000-0003-1447-9764
person.identifier.ridH-9953-2013
person.identifier.scopus-author-id14037466100
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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