English

Axiomatization of B\"uchi arithmetic

Logic 2024-11-06 v1

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 Vp(a)=pkV_p(a) = p^k such that pkap^k | a and pk+1ap^{k + 1} \nmid a.

Cite

@article{arxiv.2411.03043,
  title  = {Axiomatization of B\"uchi arithmetic},
  author = {Konstantin Kovalyov},
  journal= {arXiv preprint arXiv:2411.03043},
  year   = {2024}
}
R2 v1 2026-06-28T19:48:50.423Z