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Applied Proof Theory: Proof Interpretations and Their Use in Mathematics

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Applied Proof Theory: Proof Interpretations and their Use in Mathematics - Kohlenbach, Ulrich
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This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as - via extended case studies - carrying out some of these applications in full detail. This subject has historical roots in the 1950s. This book for the first time tells the whole story.

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Applied Proof Theory: Proof Interpretations and their Use in Mathematics 2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin

ISBN-13: 9783642096273

Paperback

Applied Proof Theory: Proof Interpretations and Their Use in Mathematics 2008, Springer, Berlin, Heidelberg

ISBN-13: 9783540775324

2008 edition

Hardcover