Applied Proof Theory: Proof Interpretations and their Use in Mathematics

by U. Kohlenbach

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.

Genres: Logic, Mathematics

556 pages, Hardcover

First published September 11, 2008