Ulrich Kohlenbach, "Applied Proof Theory: Proof Interpretations and their Use in Mathematics"
2008 | pages: 539 | ISBN: 3540775323 | PDF | 4,2 mb
2008 | pages: 539 | ISBN: 3540775323 | PDF | 4,2 mb
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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