Generalized metatheorems on the extractability of uniform bounds in functional analysis

Authors Philipp Gerhardy, Ulrich Kohlenbach



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Philipp Gerhardy
Ulrich Kohlenbach

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Philipp Gerhardy and Ulrich Kohlenbach. Generalized metatheorems on the extractability of uniform bounds in functional analysis. In Mathematics, Algorithms, Proofs. Dagstuhl Seminar Proceedings, Volume 5021, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)
https://doi.org/10.4230/DagSemProc.05021.13

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.
Keywords
  • Proof mining
  • majorization

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