Stable formulas in ordered structures
Logic
2024-10-24 v2
Abstract
We classify the stable formulas in the theory of Dense Linear Orders without endpoints, the stable formulas in the theory of Divisible Abelian Groups, and the stable formulas without parameters in the theory of Real Closed Fields. The third result, unexpectedly, requires the Hironaka's theorem on resolution of singularities.
Cite
@article{arxiv.2004.10953,
title = {Stable formulas in ordered structures},
author = {Daniel Max Hoffmann and Chieu-Minh Tran and Jinhe Ye},
journal= {arXiv preprint arXiv:2004.10953},
year = {2024}
}
Comments
14 pages