
doi: 10.46298/dmtcs.2771
handle: 1854/LU-1246855
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.
[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
[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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