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URN: urn:nbn:de:0030-drops-4318
URL: http://drops.dagstuhl.de/opus/volltexte/2006/431/
Gerhardy, Philipp ; Kohlenbach, Ulrich

Generalized metatheorems on the extractability of uniform bounds in functional analysis

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Abstract

Recently U.Kohlenbach proved general metatheorems for the extraction of (uniform) bounds from classical proofs in functional analysis. The proof was based on a combination of Gödel's functional interpretation and Bezem's strong majorization relation. We present a generalization of the majorization relation which allows to generalize Kohlenbach's metatheorems significantly. Finally, we will discuss some examples which are now covered by the new metatheorems.

BibTeX - Entry

@InProceedings{gerhardy_et_al:DSP:2006:431,
  author =	{Philipp Gerhardy and Ulrich Kohlenbach},
  title =	{Generalized metatheorems on the extractability of uniform bounds in functional analysis},
  booktitle =	{Mathematics, Algorithms, Proofs},
  year =	{2006},
  editor =	{Thierry Coquand and Henri Lombardi and Marie-Fran{\c{c}}oise Roy},
  number =	{05021},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2006/431},
  annote =	{Keywords: Proof mining, majorization}
}

Keywords: Proof mining, majorization
Seminar: 05021 - Mathematics, Algorithms, Proofs
Issue date: 2006
Date of publication: 17.01.2006

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