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dc.contributor.authorFerreira, Fernando
dc.contributor.authorFerreira, Gilda
dc.date.accessioned2016-12-08T12:03:15Z
dc.date.available2016-12-08T12:03:15Z
dc.date.issued2016
dc.identifier.issn0138-0680
dc.identifier.urihttp://hdl.handle.net/11089/20145
dc.description2010 Mathematics Subject Classification. 03F07, 03B20, 03B40pl_PL
dc.description.abstractWe give an elementary proof (in the sense that it is formalizable in Peano arithmetic) of the strong normalization of the atomic polymorphic calculus F_{at} (a predicative restriction of Girard’s system F).pl_PL
dc.description.sponsorshipBoth authors acknowledge the support of Fundação para a Ciência e a Tecnologia [UID/MAT/04561/2013] and Centro de Matemática, Aplicações Fundamentais e Investigação Operacional of Universidade de Lisboa. The second author is also grateful to Fundação para a Ciência e a Tecnologia [UID/CEC/00408/2013 and grant SFRH/BPD/93278/2013], to LargeScale Informatics Systems Laboratory (Universidade de Lisboa) and to Núcleo de Investigação em Matemática (Universidade Lusófona).pl_PL
dc.language.isoenpl_PL
dc.publisherUniwersytet Łódzki. Katedra Logiki i Metodologii Naukpl_PL
dc.relation.ispartofseriesUniwersytet Łódzki. Katedra Logiki i Metodologii Nauk;45
dc.subjectpredicative polymorphismpl_PL
dc.subjectstrong normalizationpl_PL
dc.subjectelementary proofspl_PL
dc.subjectlambda-calculuspl_PL
dc.titleAn Elementary Proof of Strong Normalization for Atomic Fpl_PL
dc.typeArticlepl_PL
dc.page.number1-16pl_PL
dc.contributor.authorAffiliationUniversidade de Lisboapl_PL
dc.contributor.authorAffiliationUniversidade Lus´ofona de Humanidades e Tecnologiaspl_PL
dc.identifier.eissn2449-836X
dc.referencesT. Altenkirch and T. Coquand, A finitary subsystem of the polymorphic λ- calculus, Proceedings of the 5th International Conference on Typed Lambda Calculi and Applications (TLCA 2001), Lecture Notes in Computer Science 2044 (2001), pp. 22–28.pl_PL
dc.referencesA. Beckmann, Exact bounds for lenghts of reductions in typed λ-calculus, The Journal of Symbolic Logic 66(3) (2001), pp. 1277–1285.pl_PL
dc.referencesF. Ferreira, A simple proof of Parsons’ theorem, Notre Dame Journal of Formal Logic 46 (2005), pp. 83–91.pl_PL
dc.referencesF. Ferreira, Comments on predicative logic, Journal of Philosophical Logic 35 (2006), pp. 1–8.pl_PL
dc.referencesF. Ferreira and G. Ferreira, Atomic polymorphism, The Journal of Symbolic Logic 78 (2013), pp. 260–274.pl_PL
dc.referencesF. Ferreira and G. Ferreira, The faithfulness of Fat: a proof-theoretic proof, Studia Logica 103(6) (2015), pp. 1303–1311.pl_PL
dc.referencesJ.-Y. Girard, Y. Lafont and P. Taylor, Proofs and Types, Cambridge University Press (1989).pl_PL
dc.referencesF. Joachimski and R. Matthes, Short proofs of normalization for the simplytyped lambda-calculus, permutative conversions and G¨odel’s T, Archive for Mathematical Logic 42 (2003), pp. 59–87.pl_PL
dc.referencesH. Schwichtenberg, An upper bound for reduction sequences in the typed λ- calculus, Archive for Mathematical Logic 30 (1991), pp. 405–408.pl_PL
dc.referencesW. Tait, Intentional interpretations of functionals of finite type I, The Journal of Symbolic Logic 32 (1967), pp. 198–212.pl_PL
dc.referencesW. Tait, Finitism, Journal of Philosophy 78 (1981), pp. 524–546.pl_PL
dc.referencesA. S. Troelstra and H. Schwichtenberg, Basic Proof Theory, Cambridge University Press (1996).pl_PL
dc.referencesA. S. Troelstra and D. van Dalen, Constructivism in Mathematics. An Introduction, volume 1, North Holland, Amsterdam (1988).pl_PL
dc.referencesJ. van de Pol, Two different strong normalization proofs? Computability versus functionals of finite type, Proceedings of the Second International Workshop on Higher-Order Algebra, Logic and Term Rewriting (HOA’95), Lecture Notes in Computer Science 1074 (1996), pp. 201–220.pl_PL
dc.referencesF. van Raamsdonk and P. Severi, On normalization, Technical report CSR9545, Centrum voor Wiskunde en Informatica, Amsterdam (1995).pl_PL
dc.contributor.authorEmailgmferreira@fc.ul.ptpl_PL
dc.identifier.doi10.18778/0138-0680.45.1.01
dc.relation.volume1pl_PL


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