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The faithfulness of atomic polymorphism

dc.contributor.authorFerreira, Fernando
dc.contributor.authorFerreira, Gilda
dc.date.accessioned2021-02-15T09:47:12Z
dc.date.available2021-02-15T09:47:12Z
dc.date.issued2014
dc.description.abstractIt is known that the full intuitionistic propositional calculus can be embedded into the atomic polymorphic system Fat, a calculus with only two connectives: the conditional and the second-order universal quantifier. The embedding uses a translation of formulas due to Prawitz and relies on the so-called property of instantiation overflow. In this paper, we show that the previous embedding is faithful i.e., if a translated formula is derivable in Fat, then the original formula is already derivable in the propositional calculus.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.issn1572-6126
dc.identifier.urihttp://hdl.handle.net/10400.2/10489
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherLodz University Presspt_PT
dc.subjectPredicative polymorphismpt_PT
dc.subjectFaithfulnesspt_PT
dc.subjectNatural deductionpt_PT
dc.subjectKripke modelspt_PT
dc.subjectIntuitionistic propositional calculuspt_PT
dc.titleThe faithfulness of atomic polymorphismpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBPD%2F34527%2F2006/PT
oaire.citation.titleTrends in Logic XIIIpt_PT
oaire.fundingStreamSFRH
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.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication.latestForDiscoveryfd3a6c7d-42b2-4434-834f-fb161900c938
relation.isProjectOfPublication5bccfd46-dece-42cd-ae48-a5bac4911f4f
relation.isProjectOfPublication.latestForDiscovery5bccfd46-dece-42cd-ae48-a5bac4911f4f

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