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Luiz Carlos Pereira [9]Luiz Carlos P. D. Pereira [3]Luiz Carlos Pd Pereira [2]
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  1.  18
    Validades Existenciais e Enigmas Relacionados.Paulo A. S. Veloso, Luiz Carlos Pereira & Edward H. Haeusler - 2009 - Dois Pontos 6 (2).
    Logic does not have purely existential theorems: the only existential sentences that are valid are those with valid universal analogues. Here, we show indeed this is so, when properly interpreted: every existential validity has a simple universal analogue, which is also valid. We also characterize existential and universal validities in terms of tautologies.
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  2.  14
    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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  3.  8
    An Ecumenical Notion of Entailment.Elaine Pimentel, Luiz Carlos Pereira & Valeria de Paiva - forthcoming - Synthese:1-23.
    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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  4.  36
    Michael Detlefsen , Proof, Logic and Formalization. Michael Detlefsen , Proof and Knowledge in Mathematics.Luiz Carlos Pereira - 1997 - Erkenntnis 47 (2):245-254.
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  5.  87
    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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  6.  54
    Considerações sobre a Noção Construtiva de Verdade.André Porto & Luiz Carlos Pereira - 2003 - Philósophos - Revista de Filosofia 17:107-123.
    O artigo discute as recentes propostas de uma noção construtivista de verdade que não se confunda com condições de assertabilidade.
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  7.  7
    Proof, Logic and Formalization.Luiz Carlos Pereira - 1997 - Erkenntnis 47 (2):245-254.
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  8.  25
    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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  9.  21
    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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  10.  4
    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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  11. Logic, Sets and Information: Proceedings of the Tenth Brazilian Conference on Mathematical Logic.Walter A. Carnielli & Luiz Carlos P. D. Pereira (eds.) - 1995 - 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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  12. 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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  13. On the Estimation of the Length of Normal Derivations.Luiz Carlos P. D. Pereira - 1982 - Akademilitteratur.
     
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