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Ordinal numbers and the Hilbert basis theorem
Journal of Symbolic Logic 53 (3):961-974 (1988)
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Citations of this work
Set existence principles and closure conditions: unravelling the standard view of reverse mathematics.Benedict Eastaugh - 2019 - Philosophia Mathematica 27 (2):153-176.
On principles between ∑1- and ∑2-induction, and monotone enumerations.Alexander P. Kreuzer & Keita Yokoyama - 2016 - Journal of Mathematical Logic 16 (1):1650004.
Analytic combinatorics, proof-theoretic ordinals, and phase transitions for independence results.Andreas Weiermann - 2005 - Annals of Pure and Applied Logic 136 (1):189-218.
Reverse mathematics and the equivalence of definitions for well and better quasi-orders.Peter Cholak, Alberto Marcone & Reed Solomon - 2004 - Journal of Symbolic Logic 69 (3):683-712.
What's so special about Kruskal's theorem and the ordinal Γo? A survey of some results in proof theory.Jean H. Gallier - 1991 - Annals of Pure and Applied Logic 53 (3):199-260.
References found in this work
Factorization of polynomials and °1 induction.S. G. Simpson - 1986 - Annals of Pure and Applied Logic 31:289.
Countable algebra and set existence axioms.Harvey M. Friedman - 1983 - Annals of Pure and Applied Logic 25 (2):141.
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