Mathematical intuitionism : introduction to proof theory
著者
書誌事項
Mathematical intuitionism : introduction to proof theory
（Translations of mathematical monographs, v. 67）
American Mathematical Society, c1988
- タイトル別名
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Matematicheskiĭ intuit︠s︡ionizm
Математический интуиционизм
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注記
Translation of: Математический интуиционизм
Bibliography: p. 201-216
Includes indexes
内容説明・目次
内容説明
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.
目次
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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