Applied Proof Theory 2024 pdf epub mobi 電子書 下載

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Applied Proof Theory pdf epub mobi 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".

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Applied Proof Theory pdf epub mobi 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 2024 pdf epub mobi 電子書 下載

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Applied Proof Theory pdf epub mobi 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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發表於2024-11-28

Applied Proof Theory 2024 pdf epub mobi 電子書 下載

Applied Proof Theory 2024 pdf epub mobi 電子書 下載

Applied Proof Theory 2024 pdf epub mobi 電子書 下載

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Applied Proof Theory pdf epub mobi 讀後感

圖書標籤: Math  證明論  nemlophics  Theory  Springer  Proof  MathematicalLogic   

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Applied Proof Theory 2024 pdf epub mobi 電子書 下載

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