Translations of Mathematical Monographs 1988; 228 pp; softcover Volume: 67 Reprint/Revision History: reprinted 1992 ISBN10: 0821845209 ISBN13: 9780821845202 List Price: US$88 Member Price: US$70.40 Order Code: MMONO/67
 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
