Mathematical Intuitionism: Introduction to Proof Theory: Introduction to Proof Theory

Al'bert Grigor'evi_ Dragalin

1988年12月 · Translations of Mathematical Monographs 第 67 本图书 · American Mathematical Soc.

关于此电子书

This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionistic simple theory of types with an extensionality rule.