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Applied Proof Theory: Proof Interpretations and Their Use in Mathematics

Applied Proof Theory: Proof Interpretations and Their Use in Mathematics

Hardcover

Series: Springer Monographs in Mathematics

FictionGeneral Mathematics

ISBN10: 3540775323
ISBN13: 9783540775324
Publisher: Springer Nature
Published: May 26 2008
Pages: 536
Weight: 2.09
Height: 1.19 Width: 6.14 Depth: 9.21
Language: English

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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General Mathematics