Mathematical Intuitionism
Introduction to Proof Theory
American Mathematical Society (Publisher)
Published on 30. December 1988
Book
Paperback/Softback
228 pages
978-0-8218-4520-2 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
College/higher education
Weight
510 gr
ISBN-13
978-0-8218-4520-2 (9780821845202)
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Schweitzer Classification
Content
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.