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Luiz Carlos Pereira [17]Luiz Carlos P. D. Pereira [3]Luiz Carlos Pd Pereira [2]
  1.  61
    An ecumenical notion of entailment.Elaine Pimentel, Luiz Carlos Pereira & Valeria de Paiva - 2019 - Synthese 198 (S22):5391-5413.
    Much has been said about intuitionistic and classical logical systems since Gentzen’s seminal work. Recently, Prawitz and others have been discussing how to put together Gentzen’s systems for classical and intuitionistic logic in a single unified system. We call Prawitz’ proposal the Ecumenical System, following the terminology introduced by Pereira and Rodriguez. In this work we present an Ecumenical sequent calculus, as opposed to the original natural deduction version, and state some proof theoretical properties of the system. We reason that (...)
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  2.  7
    Disjunctive Syllogism without Ex falso.Luiz Carlos Pereira, Edward Hermann Haeusler & Victor Nascimento - 2024 - In Thomas Piecha & Kai F. Wehmeier (eds.), Peter Schroeder-Heister on Proof-Theoretic Semantics. Springer. pp. 193-209.
    The relation between ex falso and disjunctive syllogism, or even the justification of ex falso based on disjunctive syllogism, is an old topic in the history of logic. This old topic reappears in contemporary logic since the introduction of minimal logic by Johansson. The disjunctive syllogism seems to be part of our general non-problematic inferential practices and superficially it does not seem to be related to or to depend on our acceptance of the frequently disputable ex falso rule. We know (...)
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  3.  50
    Normalization, Soundness and Completeness for the Propositional Fragment of Prawitz’ Ecumenical System.Luiz Carlos Pereira & Ricardo Oscar Rodriguez - 2017 - Revista Portuguesa de Filosofia 73 (3-4):1153-1168.
    In 2015 Dag Prawitz proposed an Ecumenical system where classical and intuitionistic logic could coexist in peace. The classical logician and the intuitionistic logician would share the universal quantifier, conjunction, negation and the constant for the absurd, but they would each have their own existential quantifier, disjunction and implication, with different meanings. Prawitz’ main idea is that these different meanings are given by a semantical framework that can be accepted by both parties. The aim of the present paper is [1] (...)
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  4.  29
    A Pure View of Ecumenical Modalities.Sonia Marin, Luiz Carlos Pereira, Elaine Pimentel & Emerson Sales - 2021 - In Alexandra Silva, Renata Wassermann & Ruy de Queiroz (eds.), Logic, Language, Information, and Computation: 27th International Workshop, Wollic 2021, Virtual Event, October 5–8, 2021, Proceedings. Springer Verlag. pp. 388-407.
    Recent works about ecumenical systems, where connectives from classical and intuitionistic logics can co-exist in peace, warmed the discussion on proof systems for combining logics. This discussion has been extended to alethic modalities using Simpson’s meta-logical characterization: necessity is independent of the viewer, while possibility can be either intuitionistic or classical. In this work, we propose a pure, label free calculus for ecumenical modalities, nEK\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf {nEK}$$\end{document}, where exactly one logical operator figures (...)
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  5.  8
    On an Ecumenical Natural Deduction with Stoup. Part I: The Propositional Case.Luiz Carlos Pereira & Elaine Pimentel - 2024 - In Antonio Piccolomini D'Aragona (ed.), Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction. Springer Verlag. pp. 139-169.
    In 2015 Dag Prawitz proposed a natural deduction ecumenical system, where classical logic and intuitionistic logic are codified in the same system. In his ecumenical system, Prawitz recovers the harmony of rules, but the rules for the classical operators do not satisfy separability. In fact, the classical rules are not pure, in the sense that negation is used in the definition of the introduction and elimination rules for the classical operators. In this work we propose an ecumenical system adapting, to (...)
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  6.  34
    Validades Existenciais e Enigmas Relacionados.Paulo A. S. Veloso, Luiz Carlos Pereira & Edward H. Haeusler - 2009 - Dois Pontos 6 (2).
    A lógica não contém teoremas puramente existenciais: as únicas sentenças existenciaisválidas são aquelas com análogas universais válidas. Aqui, mostramos que istorealmente é assim quando corretamente interpretado: toda validade ex- istencial possuiuma análoga universal simples, que também é válida. Também caracterizamos validadesuniversais e existenciais em termos de tautologias.
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  7. Considerações sobre a Noção Construtiva de Verdade.André Porto & Luiz Carlos Pereira - 2003 - O Que Nos Faz Pensar 17:107-123.
    This paper deals with the recent Swedish proposals of a Intuitionistic notion of Truth, by Dag Prawitz and Per Martin-Löf.
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  8. Logic, sets and information: proceedings of the tenth Brazilian Conference on Mathematical Logic.Walter A. Carnielli & Luiz Carlos P. D. Pereira (eds.) - 1995 - Campinas, SP, Brazil: Centro de Lógica, Epistemologia e História da Ciência, UNICAMP.
    Proceedings of the Tenth Brazilian Conference on Mathematical Logic. Coleção CLE, volume 14, 1995. Centro De Lógica, Epistemologia e História da Ciência, Unicamp, Campinas, SP, Brazil.
     
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  9. A propósito del formalismo de Johann von Neumann.Abel Lassalle Casanave & Luiz Carlos Pereira - 2020 - Metatheoria – Revista de Filosofía E Historia de la Ciencia 10 (2):51--59.
    In 1930, Johann von Neumann, together with Rudolf Carnap and Arend Heyting, participated in a conference held in Königsberg, called “Second Seminar on the Epistemology of Exact Sciences”. The idea behind the reunion of these three researchers was to compose a fairly faithful picture of the three main foundational programs of mathematics at the time: formalism, logicism, and intuitionism. The main objective of this paper is to propose an analysis of the text “The Formalist Foundation of Mathematics” presented by von (...)
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  10.  50
    A formalization of Sambins's normalization for GL.Edward Hermann Haeusler & Luiz Carlos Pereira - 1993 - Mathematical Logic Quarterly 39 (1):133-142.
    Sambin [6] proved the normalization theorem for GL, the modal logic of provability, in a sequent calculus version called by him GLS. His proof does not take into account the concept of reduction, commonly used in normalization proofs. Bellini [1], on the other hand, gave a normalization proof for GL using reductions. Indeed, Sambin's proof is a decision procedure which builds cut-free proofs. In this work we formalize this procedure as a recursive function and prove its recursiveness in an arithmetically (...)
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  11. The rules-as-types interpretation of schroder-heister's extension of natural deduction.Edward Hermann Haeusler & Luiz Carlos Pd Pereira - 1999 - Manuscrito 22 (2):149.
     
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  12.  15
    A Formalization Of Sambins's Normalization For Gl.Edward Hauesler & Luiz Carlos Pereira - 1993 - Mathematical Logic Quarterly 39 (1):133-142.
    Sambin [6] proved the normalization theorem for GL, the modal logic of provability, in a sequent calculus version called by him GLS. His proof does not take into account the concept of reduction, commonly used in normalization proofs. Bellini [1], on the other hand, gave a normalization proof for GL using reductions. Indeed, Sambin's proof is a decision procedure which builds cut-free proofs. In this work we formalize this procedure as a recursive function and prove its recursiveness in an arithmetically (...)
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  13.  11
    Caminhos da razão. Estudos em homenagem a Guido Antônio de Almeida e Raul Ferreira Landim Filho.Edgar Marques, Ethel Rocha, Lia Levy, Marcos A. Gleizer & Luiz Carlos Pereira (eds.) - 2010 - Rio de Janeiro: Nau Editora.
    Coletânea de artigos em homenagem a Guido Antonio de Almeida e Raul Ferreira Landim Filho.
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  14.  43
    An infinitary extension of mall−.Luiz Carlos Pd Pereira & Edward Hermann Haeusler - 1999 - Bulletin of the Section of Logic 28 (4):225-233.
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  15. Advances in Natural Deduction: A Celebration of Dag Prawitz's Work (Trends in Logic Book 39).Luiz Carlos Pereira, Herman Hauesler & Valeria Correa Vaz De Paiva - 2014 - Springer.
    This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science.
     
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  16.  18
    Advances in Natural Deduction: A Celebration of Dag Prawitz's Work.Luiz Carlos Pereira & Edward Hermann Haeusler (eds.) - 2012 - Dordrecht, Netherland: Springer.
    This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics in Logic, Linguistics and Theoretical Computer Science. The range of contributions includes material on the extension of natural deduction with higher-order (...)
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  17. Metafísica, lógica e outras coisas mais.Luiz Carlos Pereira, Marco A. Zingano & Lia Levy (eds.) - 2011 - Rio de Janeiro: Nau Editora.
    Livro em homenagem ao filósofo brasileiro Luiz Henrique Lopes, um dos maiores expoentes da filosofia analítica. Neste livro grandes nomes da filosofia brasileira discorrem sobre a filosofia analítica e vários assuntos da filosofia contemporânea.
     
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  18.  15
    On the estimation of the length of normal derivations.Luiz Carlos P. D. Pereira - 1982 - Stockholm: Akademilitteratur.
  19. On What There Must Be: Existence in Logic and Some Related Riddles.Paulo A. S. Veloso, Luiz Carlos Pereira & E. Hermann Haeusler - 2012 - Disputatio 4 (34):889-910.
    Veloso-Pereira-Haeusler_On-what-there-must-be.
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  20.  20
    Michael Detlefsen (ed.), Proof, Logic and Formalization. Michael Detlefsen (ed.), Proof and Knowledge in Mathematics. [REVIEW]Luiz Carlos Pereira - 1997 - Erkenntnis 47 (2):245-254.
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  21.  28
    Michael Detlefsen (ed.), Proof, Logic and Formalization. Michael Detlefsen (ed.), Proof and Knowledge in Mathematics. [REVIEW]Luiz Carlos Pereira - 1997 - Erkenntnis 47 (2):245-254.
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