Proof Theory and Intuitionistic Systems

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Author(s): Bruno Scarpellini (auth.)
Series: Lecture Notes in Mathematics 212
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1971

Language: English
Pages: 292
City: Berlin, New York
Tags: Mathematics, general

Introduction and preliminaries....Pages 1-33
A review of Gentzen's second consistency proof....Pages 34-69
The intuitionistic system of number theory....Pages 70-78
A formally intuitionistic system as strong as classical analysis....Pages 79-140
Transfinite induction with respect to recursive wellorderings without function parameters....Pages 141-160
A formally intuitonistic theory equivalent to classical transfinite induction with respect to recursive wellfounded trees with function parameters....Pages 161-192
A system containing barinduction with respect to decidable predicates....Pages 193-216
Harrop formulas....Pages 217-247
The Markov principle....Pages 248-255
Relative consistency proof of ZTN with respect to ZTi/I N *....Pages 256-290