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arXiv · 2411.03043

Axiomatization of B\"uchi arithmetic

Konstantin Kovalyov
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Abstract

In this paper we introduce an axiomatization of B\"uchi arithmetic, i.e., of the elementary theory of natural numbers in the language with addition and function $V_p(a) = p^k$ such that $p^k | a$ and $p^{k + 1} \nmid a$.

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Konstantin Kovalyov. 2024-11-05. Axiomatization of B\"uchi arithmetic. https://arxiv.org/abs/2411.03043

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