Applied Proof Theory pdf epub mobi txt 電子書 下載 2025
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Ulrich Kohlenbach
Springer
2008-5-26
536
USD 99.00
Hardcover
9783540775324
圖書標籤:
Math
證明論
nemlophics
Theory
Springer
Proof
MathematicalLogic
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发表于2025-01-11
Applied Proof Theory epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2025
Applied Proof Theory epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2025
Applied Proof Theory pdf epub mobi txt 電子書 下載 2025
圖書描述
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.
Applied Proof Theory 下載 mobi epub pdf txt 電子書
著者簡介
Ulrich Kohlenbach has been Professor of Mathematics at the Technische Universität Darmstadt since 2004. He is a managing editor of the "Annals of Pure and Applied Logic".
圖書目錄
Preface.- Introduction.- Unwinding of proofs ('Proof Mining').- Intuitionistic and classical arithmetic in all finite types.- Representation of Polish metric spaces.- Modified realizability.- Majorizability and the fan rule.- Semi-intuitionistic systems and monotone modified realizability.- Gödel's functional ('Dialectica') interpretation.- Semi-intuitionistic systems and monotone functional interpretation.- Systems based on classical logic and functional interpretation.- Functional interpretation of full classical analysis.- A non-standard principle of uniform boundedness.- Elimination of monotone Skolem functions.- The Friedman-Dragalin A-translation.- Applications to analysis: general metatheorems I.- Case study I: Uniqueness proofs in approximation theory.- Applications to analysis: general metatheorems II.- Case study II: Applications to the fixed point theory of nonexpansive mappings.- Final comments.- References.- Index.
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Applied Proof Theory pdf epub mobi txt 電子書 下載
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Applied Proof Theory pdf epub mobi txt 電子書 下載 2025