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Typability and type inference in atomic polymorphism

dc.contributor.authorProtin, M. Clarence
dc.contributor.authorFerreira, Gilda
dc.date.accessioned2022-11-21T09:06:39Z
dc.date.available2022-11-21T09:06:39Z
dc.date.issued2022
dc.description.abstractIt is well-known that typability, type inhabitation and type inference are undecidable in the Girard-Reynolds polymorphic system F. It has recently been proven that type inhabitation remains undecidable even in the predicative fragment of system F in which all universal instantiations have an atomic witness (system Fat). In this paper we analyze typability and type inference in Curry style variants of system Fat and show that typability is decidable and that there is an algorithm for type inference which is capable of dealing with non-redundancy constraints.pt_PT
dc.description.sponsorshipThe second author acknowledges the support of FCT — Fundação para a Ciência e a Tecnologia under the projects UIDB/04561/2020, UIDB/00408/2020 and UIDP/00408/2020, and she is also grateful to CMAFcIO — Centro de Matemática, Aplicações Fundamentais e Investigação Operacional and to LASIGE — Computer Science and Engineering Research Centre (Universidade de Lisboa).pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.46298/lmcs-18(3:22)2022pt_PT
dc.identifier.issn1860-5974
dc.identifier.urihttp://hdl.handle.net/10400.2/12603
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.relationCenter for Mathematics, Fundamental Applications and Operations Research
dc.relationLASIGE - Extreme Computing
dc.relationLASIGE - Extreme Computing
dc.relation.publisherversionhttps://lmcs.episciences.org/9915/pdfpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectLambda calculuspt_PT
dc.subjectAtomic polymorphismpt_PT
dc.subjectTypabilitypt_PT
dc.subjectType inferencept_PT
dc.subjectIntuitionistic logicpt_PT
dc.titleTypability and type inference in atomic polymorphismpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, Fundamental Applications and Operations Research
oaire.awardTitleLASIGE - Extreme Computing
oaire.awardTitleLASIGE - Extreme Computing
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04561%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00408%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00408%2F2020/PT
oaire.citation.titleLogical Methods in Computer Sciencept_PT
oaire.citation.volumeVolume 18, Issue 3pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
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
relation.isAuthorOfPublicationfd3a6c7d-42b2-4434-834f-fb161900c938
relation.isAuthorOfPublication.latestForDiscoveryfd3a6c7d-42b2-4434-834f-fb161900c938
relation.isProjectOfPublication7fccc76f-75a6-4346-89f1-0addcc4cfeed
relation.isProjectOfPublication01a99baa-a025-45a3-bc2c-f4528aeae605
relation.isProjectOfPublication2109bfea-cc21-4c47-9950-99898d92a041
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