23 found
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  1.  36
    Die Nichtaxiomatisierbarkeit Des Unendlichwertigen Prädikatenkalküls Von Łukasiewicz.Bruno Scarpellini - 1962 - Journal of Symbolic Logic 27 (2):159-170.
  2.  32
    Zwei Unentscheidbare Probleme Der Analysis.Bruno Scarpellini - 1963 - Mathematical Logic Quarterly 9 (18-20):265-289.
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  3.  1
    Proof Theory and Intuitionistic Systems.Bruno Scarpellini - 1971 - New York: Springer Verlag.
  4.  20
    Induction and Transfinite Induction in Intuitionistic Systems.Bruno Scarpellini - 1972 - Annals of Mathematical Logic 4 (2):173.
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  5.  75
    Two Undecidable Problems of Analysis.Bruno Scarpellini - 2003 - Minds and Machines 13 (1):49-77.
  6.  35
    Comments on `Two Undecidable Problems of Analysis'.Bruno Scarpellini - 2003 - Minds and Machines 13 (1):79-85.
    We first discuss some technical questions which arise in connection with the construction of undecidable propositions in analysis, in particular in connection with the notion of the normal form of a function representing a predicate. Then it is stressed that while a function f(x) may be computable in the sense of recursive function theory, it may nevertheless have undecidable properties in the realm of Fourier analysis. This has an implication for a conjecture of Penrose's which states that classical physics is (...)
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  7.  2
    On Barinduction of Higher Types for Decidable Predicates.Bruno Scarpellini - 1973 - Annals of Mathematical Logic 5 (2):77.
  8.  17
    A Weak Completeness Theorem for Infinite Valued First-Order Logic.Bruno Scarpellini, L. P. Belluce & C. C. Chang - 1971 - Journal of Symbolic Logic 36 (2):332.
  9.  1
    Die Nichtaxiomatisierbarkeit des Unendlichwertigen Prädikatenkalküls von Łukasiewicz.Bruno Scarpellini - 1964 - Journal of Symbolic Logic 29 (3):145-145.
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  10.  49
    Recursive Analysis of Singular Ordinary Differential Equations.Peter Buser & Bruno Scarpellini - 2010 - Annals of Pure and Applied Logic 162 (1):20-35.
    We investigate systems of ordinary differential equations with a parameter. We show that under suitable assumptions on the systems the solutions are computable in the sense of recursive analysis. As an application we give a complete characterization of the recursively enumerable sets using Fourier coefficients of recursive analytic functions that are generated by differential equations and elementary operations.
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  11.  4
    Undecidability Through Fourier Series.Peter Buser & Bruno Scarpellini - 2016 - Annals of Pure and Applied Logic 167 (7):507-524.
  12.  4
    A Formally Constructive Model for Barrecursion of Higher Types.Bruno Scarpellini - 1972 - Mathematical Logic Quarterly 18 (21‐24):321-383.
  13.  25
    A Formally Constructive Model for Barrecursion of Higher Types.Bruno Scarpellini - 1972 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (21-24):321-383.
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  14.  4
    Chang C. C.. Logic with Positive and Negative Truth Values. Proceedings of a Colloquium on Modal and Many-Valued Logics, Helsinki, 23–26 August, 1962, Acta Philosophica Fennica, No. 16, Helsinki 1963, Pp. 19–39. [REVIEW]Bruno Scarpellini - 1971 - Journal of Symbolic Logic 36 (2):331-332.
  15.  4
    Complete Second Order Spectra.Bruno Scarpellini - 1984 - Mathematical Logic Quarterly 30 (32‐34):509-524.
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  16.  21
    Complete Second Order Spectra.Bruno Scarpellini - 1984 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 30 (32-34):509-524.
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  17.  4
    Lower Bound Results on Lengths of Second-Order Formulas.Bruno Scarpellini - 1985 - Annals of Pure and Applied Logic 29 (1):29-58.
  18.  19
    L. P. Belluce and C. C. Chang. A Weak Completeness Theorem for Infinite Valued First-Order Logic. The Journal of Symbolic Logic, Vol. 28 No. 1 , Pp. 43–50.Bruno Scarpellini - 1971 - Journal of Symbolic Logic 36 (2):332.
  19.  24
    On a Family of Models of Zermelo-Fraenkel Set Theory.Bruno Scarpellini - 1966 - Mathematical Logic Quarterly 12 (1):191-204.
  20.  4
    On a Family of Models of Zermelo-Fraenkel Set Theory.Bruno Scarpellini - 1969 - Journal of Symbolic Logic 34 (4):654-654.
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  21.  1
    Preface.Bruno Scarpellini - 1972 - Annals of Mathematical Logic 4 (4):341.
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  22.  9
    Review: C. C. Chang, Logic with Positive and Negative Truth Values. [REVIEW]Bruno Scarpellini - 1971 - Journal of Symbolic Logic 36 (2):331-332.
  23.  4
    Review: L. P. Belluce, Further Results on Infinite Valued Predicate Logic. [REVIEW]Bruno Scarpellini - 1971 - Journal of Symbolic Logic 36 (2):332-332.