Mathematical intuitionism : introduction to proof theory

Bibliographic Information

Mathematical intuitionism : introduction to proof theory

A.G. Dragalin

(Translations of mathematical monographs, v. 67)

American Mathematical Society, c1988

Other Title

Matematicheskiĭ intuit︠s︡ionizm

Математический интуиционизм

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Note

Translation of: Математический интуиционизм

Bibliography: p. 201-216

Includes indexes

Description and Table of Contents

Description

In the area of mathematical logic, a great deal of attention is now being devoted to the study of nonclassical logics. Nonclassical logics are used in the theory of computations, in information theory, and for the description of systems of heuristic programming. Intuitionistic logic is a particularly important nonclassical logic. The aim of this book is to present the most important methods of proof theory in intuitionistic logic and to acquaint the reader with the principal axiomatic theories based on intuitionistic logic. The exposition, accessible to a wide audience, requires only an introductory course in classical mathematical logic.

Table of Contents

Logic Arithmetic Algebraic models Analysis Eliminability of cuts in the intuitionistic simple theory of types in the form of a sequent calculus with extensionality Appendix A: An algebraic approach to models of realizability type Appendix B: A strong form of the normalization theorem.

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Details

  • NCID
    BA03543673
  • ISBN
    • 0821845209
  • LCCN
    87032766
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    rus
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    ix, 228 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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