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Discrete Mathematics & Theoretical Computer Science
Article . 2010 . Peer-reviewed
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Phase transitions in Proof Theory

Authors: Gordeev, Lev; Weiermann, Andreas;

Phase transitions in Proof Theory

Abstract

Using standard methods of analytic combinatorics we elaborate critical points (thresholds) of phase transitions from provability to unprovability of arithmetical well-partial-ordering assertions in several familiar theories occurring in the reverse mathematics program.

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Belgium
Related Organizations
Keywords

[INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], well partial orderings, proof theory, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], phase transitions, Mathematics and Statistics, asymptotics, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], analytic combinatorics, reverse mathematics, Higman-Kruskal-Friedman theorems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
Published in a Diamond OA journal