Journal of Symbolic Logic 63 (2):402-410 (1998)

Abstract
In [4] it is shown that only using exponentiation can one prove the existence of non trivial solutions of Pell equations in IΔ 0 . However, in this paper we will prove that any Pell equation has a non trivial solution modulo m for every m in IΔ 0
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DOI 10.2307/2586838
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References found in this work BETA

Diophantine Induction.Richard Kaye - 1990 - Annals of Pure and Applied Logic 46 (1):1-40.
Pell Equations and Exponentiation in Fragments of Arithmetic.Paola D'Aquino - 1996 - Annals of Pure and Applied Logic 77 (1):1-34.

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