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dc.contributor.authorAyala-Rincón, Mauricio-
dc.contributor.authorFernández, Maribel-
dc.contributor.authorNantes Sobrinho, Daniele-
dc.date.accessioned2019-06-11T14:31:32Z-
dc.date.available2019-06-11T14:31:32Z-
dc.date.issued2018-
dc.identifier.citationAYALA-RINCÓN, Mauricio; FERNÁNDEZ, Maribel; NANTES SOBRINHO, Daniele. Fixed-point constraints for nominal equational unification. In: INTERNATIONAL CONFERENCE ON FORMAL STRUCTURES FOR COMPUTATION AND DEDUCTION, 3., 2018, Dagstuhl - Germany. Proceedings [...]. Dagstuhl - Germany: Daugstuhl research Online Publishing Server, 2018. DOI: 10.4230/LIPIcs.FSCD.2018.7. Disponível em: http://drops.dagstuhl.de/opus/volltexte/2018/9177/. Acesso em: 11 jun. 2019.pt_BR
dc.identifier.urihttp://repositorio.unb.br/handle/10482/34780-
dc.language.isoInglêspt_BR
dc.publisherDaugstuhl research Online Publishing Serverpt_BR
dc.rightsAcesso Abertopt_BR
dc.titleFixed-point constraints for nominal equational unificationpt_BR
dc.typeTrabalho apresentado em eventopt_BR
dc.subject.keywordTermos nominaispt_BR
dc.subject.keywordEquações de ponto fixopt_BR
dc.subject.keywordUnificação nominalpt_BR
dc.subject.keywordTeoria de equaçõespt_BR
dc.rights.license© Mauricio Ayala-Rincón, Maribel Fernández, and Daniele Nantes-Sobrinho; licensed under Creative Commons License CC-BY.pt_BR
dc.identifier.doi10.4230/LIPIcs.FSCD.2018.7pt_BR
dc.description.abstract1We propose a new axiomatisation of the alpha-equivalence relation for nominal terms, based on a primitive notion of fixed-point constraint. We show that the standard freshness relation between atoms and terms can be derived from the more primitive notion of permutation fixed-point, and use this result to prove the correctness of the new alpha-equivalence axiomatisation. This gives rise to a new notion of nominal unification, where solutions for unification problems are pairs of a fixed-point context and a substitution. Although it may seem less natural than the standard notion of nominal unifier based on freshness constraints, the notion of unifier based on fixedpoint constraints behaves better when equational theories are considered: for example, nominal unification remains finitary in the presence of commutativity, whereas it becomes infinitary when unifiers are expressed using freshness contexts.pt_BR
dc.description.unidadeInstituto de Ciências Exatas (IE)-
dc.description.unidadeDepartamento de Matemática (IE MAT)-
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