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Instantiation overflow

dc.contributor.authorDinis, Bruno
dc.contributor.authorFerreira, Gilda
dc.date.accessioned2021-02-15T11:21:25Z
dc.date.available2021-02-15T11:21:25Z
dc.date.issued2016
dc.description.abstractThe well-known embedding of full intuitionistic propositional calculus into the atomic polymorphic system Fat is possible due to the intriguing phenomenon of instantiation overflow. Instantiation overflow ensures that (in Fat) we can instantiate certain universal formulas by any formula of the system, not necessarily atomic. Until now only three types in Fat were identi ed with such property: the types that result from the Prawitz translation of the propositional connectives (\bot,\wedge, \vee) into Fat (or Girard's system F). Are there other types in Fat with instantiation overflow? In this paper we show that the answer is yes and we isolate a class of formulas with such property.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.4467/20842589RM.16.002.5279pt_PT
dc.identifier.eissn2084-2589
dc.identifier.issn0137-2904
dc.identifier.urihttp://hdl.handle.net/10400.2/10491
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.relationNÚMEROS NÃO STANDARD. AXIOMÁTICAS E INTERPRETAÇÕES FUNCIONAIS.
dc.relationTeoria da demonstração: abordagem lógico-computacional
dc.subjectInstantiation overflowpt_PT
dc.subjectPredicative polymorphismpt_PT
dc.subjectNatural deductionpt_PT
dc.titleInstantiation overflowpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleNÚMEROS NÃO STANDARD. AXIOMÁTICAS E INTERPRETAÇÕES FUNCIONAIS.
oaire.awardTitleTeoria da demonstração: abordagem lógico-computacional
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F97436%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/PEst-OE%2FMAT%2FUI0117%2F2014/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04561%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F93278%2F2013/PT
oaire.citation.titleReports on Mathematical Logicpt_PT
oaire.citation.volume51pt_PT
oaire.fundingStream5876
oaire.fundingStream5876
person.familyNameAntunes Dinis
person.familyNameFerreira
person.givenNameBruno Miguel
person.givenNameGilda
person.identifier.ciencia-id3E1F-A94E-D147
person.identifier.ciencia-id0B1A-81E7-88B1
person.identifier.orcid0000-0003-2143-3289
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.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
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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