Phase transitions in Proof Theory

Lev Gordeev 1 Andreas Weiermann 2
1 Eberhard Karls Universität Tübingen
2 UGENT - Ghent University [Belgium]
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.
Keywords : phase transitions proof theory reverse mathematics asymptotics analytic combinatorics well partial orderings Higman-Kruskal-Friedman theorems
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Communication dans un congrès
Drmota, Michael and Gittenberger, Bernhard. 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010, Vienna, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), pp.343-358, 2010, DMTCS Proceedings
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Lev Gordeev, Andreas Weiermann. Phase transitions in Proof Theory. Drmota, Michael and Gittenberger, Bernhard. 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010, Vienna, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), pp.343-358, 2010, DMTCS Proceedings. 〈hal-01185569〉

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