32 found
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  1.  18
    ∞-Groupoid Generated by an Arbitrary Topological λ-Model.Daniel O. Martínez-Rivillas & Ruy J. G. B. de Queiroz - 2022 - Logic Journal of the IGPL 30 (3):465-488.
    The lambda calculus is a universal programming language. It can represent the computable functions, and such offers a formal counterpart to the point of view of functions as rules. Terms represent functions and this allows for the application of a term/function to any other term/function, including itself. The calculus can be seen as a formal theory with certain pre-established axioms and inference rules, which can be interpreted by models. Dana Scott proposed the first non-trivial model of the extensional lambda calculus, (...)
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  2.  11
    Towards a homotopy domain theory.Daniel O. Martínez-Rivillas & Ruy J. G. B. de Queiroz - 2022 - Archive for Mathematical Logic 62 (3):559-579.
    An appropriate framework is put forward for the construction of $$\lambda $$ -models with $$\infty $$ -groupoid structure, which we call homotopic $$\lambda $$ -models, through the use of an $$\infty $$ -category with cartesian closure and enough points. With this, we establish the start of a project of generalization of Domain Theory and $$\lambda $$ -calculus, in the sense that the concept of proof (path) of equality of $$\lambda $$ -terms is raised to higher proof (homotopy).
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  3.  9
    The Theory of an Arbitrary Higher \(\lambda\)-Model.Daniel Martinez & Ruy J. G. B. de Queiroz - 2023 - Bulletin of the Section of Logic 52 (1):39-58.
    One takes advantage of some basic properties of every homotopic \(\lambda\)-model (e.g. extensional Kan complex) to explore the higher \(\beta\eta\)-conversions, which would correspond to proofs of equality between terms of a theory of equality of any extensional Kan complex. Besides, Identity types based on computational paths are adapted to a type-free theory with higher \(\lambda\)-terms, whose equality rules would be contained in the theory of any \(\lambda\)-homotopic model.
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  4.  63
    Extending the Curry-Howard interpretation to linear, relevant and other resource logics.Dov M. Gabbay & Ruy J. G. B. de Queiroz - 1992 - Journal of Symbolic Logic 57 (4):1319-1365.
  5.  30
    A Proof‐Theoretic Account of Programming and the Role of Reduction Rules.Ruy J. G. B. De Queiroz - 1988 - Dialectica 42 (4):265-282.
    SummaryLooking at proof theory as an attempt to ‘code’ the general pattern of the logical steps of a mathematical proof, the question of what kind of rules can make the meaning of a logical connective completely explicit does not seem to have been answered satisfactorily. The lambda calculus seems to have been more coherent simply because the use of ‘λ’ together with its projection 'apply' is specified by what can be called a 'reduction' rule: β‐conversion. We attempt to analyse the (...)
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  6.  94
    On reduction rules, meaning-as-use, and proof-theoretic semantics.Ruy J. G. B. de Queiroz - 2008 - Studia Logica 90 (2):211-247.
    The intention here is that of giving a formal underpinning to the idea of ‘meaning-is-use’ which, even if based on proofs, it is rather different from proof-theoretic semantics as in the Dummett–Prawitz tradition. Instead, it is based on the idea that the meaning of logical constants are given by the explanation of immediate consequences, which in formalistic terms means the effect of elimination rules on the result of introduction rules, i.e. the so-called reduction rules. For that we suggest an extension (...)
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  7.  31
    On Reduction Rules, Meaning-as-Use, and Proof-Theoretic Semantics.Ruy J. G. B. de Queiroz - 2008 - Studia Logica 90 (2):211 - 247.
    The intention here is that of giving a formal underpinning to the idea of 'meaning-is-use' which, even if based on proofs, it is rather different from proof-theoretic semantics as in the Dummett-Prawitz tradition. Instead, it is based on the idea that the meaning of logical constants are given by the explanation of immediate consequences, which in formalistic terms means the effect of elimination rules on the result of introduction rules, i. e. the so-called reduction rules. For that we suggest an (...)
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  8.  24
    Abstract Data Types and Type Theory: Theories as Types.Ruy J. G. B. de Queiroz & Thomas S. E. Maibaum - 1991 - Mathematical Logic Quarterly 37 (9‐12):149-166.
  9.  38
    Abstract Data Types and Type Theory: Theories as Types.Ruy J. G. B. de Queiroz & Thomas S. E. Maibaum - 1991 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 37 (9-12):149-166.
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  10.  26
    Proof theory and computer programming.Ruy J. G. B. de Queiroz & Thomas S. E. Maibaum - 1990 - Mathematical Logic Quarterly 36 (5):389-414.
  11.  37
    Proof theory and computer programming.Ruy J. G. B. de Queiroz & Thomas S. E. Maibaum - 1990 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 36 (5):389-414.
  12.  12
    The Functional Interpretation of the Existential Quantifier.Ruy J. G. B. de Queiroz & Dov M. Gabbay - 1995 - Logic Journal of the IGPL 3 (2-3):243-290.
  13. Normalisation and languages-games.Ruy J. G. B. de Queiroz - 1994 - Dialectica 48 (2):83-123.
     
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  14.  22
    6th Workshop on Logic, Language, Information and Computation (Wollic'99).Ruy J. G. B. de Queiroz & Walter Carnielli - 1999 - Bulletin of Symbolic Logic 5 (3):424-425.
  15.  15
    From Tractatus to Later Writings and Back – New Implications from Wittgenstein’s Nachlass.Ruy J. G. B. de Queiroz - 2023 - SATS 24 (2):167-203.
    As a celebration of theTractatus100th anniversary it might be worth revisiting its relation to the later writings. From the former to the latter, David Pears recalls that “everyone is aware of the holistic character of Wittgenstein’s later philosophy, but it is not so well known that it was already beginning to establish itself in theTractatus” (The False Prison, 1987). From the latter to the former, Stephen Hilmy’s (The Later Wittgenstein, 1987) extensive study of theNachlasshas helped removing classical misconceptions such as (...)
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  16.  26
    Propositional intuitionistic multiple-conclusion calculus via proof graphs.Ruan V. B. Carvalho, Anjolina G. de Oliveira & Ruy J. G. B. de Queiroz - forthcoming - Logic Journal of the IGPL.
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  17.  25
    9th Workshop on Logic, Language, Information and Computation.Rio de Janeiro & Ruy J. G. B. de Queiroz - 2003 - Bulletin of Symbolic Logic 9 (1):121-122.
  18.  25
    Conferences.Ruy J. G. B. de Queiroz - 1996 - Logic Journal of the IGPL 4 (3):473-527.
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  19.  45
    Eighth workshop on logic, language, information and computation (WoLLIC '2001).Ruy J. G. B. de Queiroz - 2002 - Bulletin of Symbolic Logic 8 (2):319-320.
  20.  42
    Second Workshop on Logic, Language, Information and Computation.Ruy J. G. B. de Queiroz - 1996 - Logic Journal of the IGPL 4 (2):309-344.
  21.  38
    12th Workshop on Logic, Language, Information and Computation.Ruy J. G. B. de Queiroz - 2005 - Bulletin of Symbolic Logic 11 (4):558-559.
  22.  12
    8th Workshop on Logic, Language, Information and Computation.Ruy J. G. B. de Queiroz - 2002 - Bulletin of Symbolic Logic 8 (2):319-320.
  23.  12
    11th Workshop on Logic, Language, Information and Computation.Ruy J. G. B. de Queiroz - 2005 - Bulletin of Symbolic Logic 11 (1):120-121.
  24.  25
    5th Workshop on Logic, Language, Information and Computation.Ruy J. G. B. de Queiroz - 1999 - Bulletin of Symbolic Logic 5 (3):422-423.
  25. 12th Workshop on Logic, Language, Information and Computation, Florianópolis, Brasil, 19 a 22 de julho de 2005.Ruy J. G. B. de Queiroz, Angus Macintyre & Guilherme Bittencourt (eds.) - 2005 - Florianópolis, SC, Brasil: [S.N.].
     
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  26.  21
    7th Workshop on Logic, Language, Information and Computation (WoLLIC'2000).Ruy J. G. B. de Queiroz - 2001 - Bulletin of Symbolic Logic 7 (2):293-294.
  27.  30
    5th Workshop on Logic, Language, Information and Computation (Wollic'98).Ruy J. G. B. de Queiroz - 1999 - Bulletin of Symbolic Logic 5 (3):422-423.
  28.  29
    On dividing chains in simple theories.Steffen Lewitzka & Ruy J. G. B. De Queiroz - 2005 - Archive for Mathematical Logic 44 (7):897-911.
    Dividing chains have been used as conditions to isolate adequate subclasses of simple theories. In the first part of this paper we present an introduction to the area. We give an overview on fundamental notions and present proofs of some of the basic and well-known facts related to dividing chains in simple theories. In the second part we discuss various characterizations of the subclass of low theories. Our main theorem generalizes and slightly extends a well-known fact about the connection between (...)
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  29.  28
    3rd Workshop on Logic, Language, Information and Computation (Wollic'96).Ruy J. G. B. de Queiroz - 1996 - Bulletin of Symbolic Logic 2 (3):374-374.
  30. 10th workshop on logic, language, information and computation (WoLLIC '2003): Co-sponsored by the association for symbolic logic, ouro preto (minas gerais), Brazil july 29-August 1, 2003. [REVIEW]Ruy J. G. B. de Queiroz - 2004 - Bulletin of Symbolic Logic 10 (2):295-296.
  31.  24
    Logic, Language, Information, and Computation: 29th International Workshop, WoLLIC 2023, Halifax, NS, Canada, July 11–14, 2023, Proceedings.Helle Hvid Hansen, Andre Scedrov & Ruy J. G. B. De Queiroz (eds.) - 2023 - Springer Nature Switzerland.
    Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the of the 29th International Workshop on Logic, Language, Information, and Computation, WoLLIC 2023, held in Halifax, NS, Canada, during July 11–14, 2023. The 24 full papers (21 contributed, 3 invited) included in this book were carefully reviewed and selected from 46 submissions. The book also contains the abstracts for the 7 invited talks and 4 tutorials presented at WoLLIC 2023. The (...)
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  32. Logic, language, information, and computation: 20th International Workshop, WoLLIC 2013, Darmstadt, Germany, August 20-23, 2013: proceedings.Leonid Libkin, U. Kohlenbach & Ruy J. G. B. de Queiroz (eds.) - 2013 - New York: Springer.
     
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