Applied Proof Theory: Proof Interpretations and Their Use in Mathematics |
|
| Author:
| Kohlenbach, Ulrich |
| Series title: | Springer Monographs in Mathematics Ser. |
| ISBN: | 978-3-540-77533-1 |
| Publication Date: | May 2008 |
| Publisher: | Springer London, Limited
|
| Book Format: | Ebook |
| List Price: | USD $99.00 |
Book Description:
|
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.
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.