Algebraic combinatorics in bounded induction

Annals of Pure and Applied Logic 172 (2):102885 (2021)
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10.1016/j.apal.2020.102885

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On the scheme of induction for bounded arithmetic formulas.A. J. Wilkie & J. B. Paris - 1987 - Annals of Pure and Applied Logic 35 (C):261-302.
Bounded existential induction.George Wilmers - 1985 - Journal of Symbolic Logic 50 (1):72-90.
On the strength of Ramsey's theorem without Σ1 -induction.Keita Yokoyama - 2013 - Mathematical Logic Quarterly 59 (1-2):108-111.
Diophantine Induction.Richard Kaye - 1990 - Annals of Pure and Applied Logic 46 (1):1-40.

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