Publication
The faithfulness of Fat: a proof-theoretic proof
| dc.contributor.author | Ferreira, Fernando | |
| dc.contributor.author | Ferreira, Gilda | |
| dc.date.accessioned | 2021-02-15T10:00:38Z | |
| dc.date.available | 2021-02-15T10:00:38Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | It is known that there is a sound and faithful translation of the full intuitionistic propositional calculus into the atomic polymorphic system Fat, a predicative calculus with only two connectives: the conditional and the second-order universal quantifier. The faithfulness of the embedding was established quite recently via a model-theoretic argument based in Kripke structures. In this paper we present a purely proof-theoretic proof of faithfulness. As an application, we give a purely proof-theoretic proof of the disjunction property of the intuitionistic propositional logic in which commuting conversions are not needed. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1007/s11225-015-9620-5 | pt_PT |
| dc.identifier.issn | 0039-3215 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/10490 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.relation | Teoria da demonstração: abordagem lógico-computacional | |
| dc.subject | Predicative polymorphism | pt_PT |
| dc.subject | Faithfulness | pt_PT |
| dc.subject | Natural deduction | pt_PT |
| dc.subject | Intuitionistic proposicional calculus | pt_PT |
| dc.subject | Disjunction property | pt_PT |
| dc.subject | Strong normalization | pt_PT |
| dc.title | The faithfulness of Fat: a proof-theoretic proof | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Teoria da demonstração: abordagem lógico-computacional | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04561%2F2013/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F93278%2F2013/PT | |
| oaire.citation.issue | 6 | pt_PT |
| oaire.citation.title | Studia Logica | pt_PT |
| oaire.citation.volume | 103 | pt_PT |
| oaire.fundingStream | 5876 | |
| person.familyName | Ferreira | |
| person.givenName | Gilda | |
| person.identifier.ciencia-id | 0B1A-81E7-88B1 | |
| person.identifier.orcid | 0000-0003-1447-9764 | |
| person.identifier.rid | H-9953-2013 | |
| person.identifier.scopus-author-id | 14037466100 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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