Applied Proof Theory: Proof Interpretations And Their Use In Mathematics (springer Monographs In Mathematics)
by Ulrich Kohlenbach /
2008 / English / PDF
8.4 MB Download
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.