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Goodstein sequences for prominent ordinals up to the ordinal of Π11 -CAo
Annals of Pure and Applied Logic 164 (12):1493-1506 (2013)
Abstract
We introduce strong Goodstein principles which are true but unprovable in strong impredicative theories like IDn.Other Versions
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Citations of this work
Goodstein Sequences Based on a Parametrized Ackermann–Péter Function.Toshiyasu Arai, Stanley S. Wainer & Andreas Weiermann - 2021 - Bulletin of Symbolic Logic 27 (2):168-186.
Pure Σ2-elementarity beyond the core.Gunnar Wilken - 2021 - Annals of Pure and Applied Logic 172 (9):103001.
References found in this work
Elementary descent recursion and proof theory.Harvey Friedman & Michael Sheard - 1995 - Annals of Pure and Applied Logic 71 (1):1-45.
A slow growing analogue to buchholz' proof.Toshiyasu Arai - 1991 - Annals of Pure and Applied Logic 54 (2):101-120.
An independence result for (II11-CA)+BI.Wilfried Buchholz - 1987 - Annals of Pure and Applied Logic 33 (C):131-155.
Some uses of dilators in combinatorial problems.V. Michele Abrusci - 1989 - Archive for Mathematical Logic 29 (2):85-109.
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