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Ulrich Kohlenbach 
Applied Proof Theory: Proof Interpretations and their Use in Mathematics [PDF ebook] 

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Daftar Isi

Unwinding 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 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.

Tentang Penulis

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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Bahasa Inggris ● Format PDF ● Halaman 536 ● ISBN 9783540775331 ● Ukuran file 6.1 MB ● Usia 02-99 tahun ● Penerbit Springer Berlin ● Kota Heidelberg ● Negara DE ● Diterbitkan 2008 ● Diunduh 24 bulan ● Mata uang EUR ● ID 2164005 ● Perlindungan salinan DRM sosial

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