English

A model-thoeretic version of Tarski's theorem

Logic 2025-07-14 v1

Abstract

Working in any model theoretic structure, we single out a class of definable bipartite graphs that admit definable, close to perfect matchings. We use this result to prove a strengthening of Tarski's theorem for the definable setting.

Keywords

Cite

@article{arxiv.2507.08463,
  title  = {A model-thoeretic version of Tarski's theorem},
  author = {Jana Maříková},
  journal= {arXiv preprint arXiv:2507.08463},
  year   = {2025}
}
R2 v1 2026-07-01T03:56:19.635Z