English

Generalized Taylor formulae, computations in real closed valued fields and quantifier elimination

Commutative Algebra 2022-02-14 v1

Abstract

We use generalized Taylor formulae in order to give some simple constructions in the real closure of an \ovfz. We deduce a new, simple quantifier elimination algorithm for \rcvfs and some theorems about constructible subsets of real valuative affine space.

Keywords

Cite

@article{arxiv.2202.05504,
  title  = {Generalized Taylor formulae, computations in real closed valued fields and quantifier elimination},
  author = {Mari-Emi Alonso and Henri Lombardi},
  journal= {arXiv preprint arXiv:2202.05504},
  year   = {2022}
}
R2 v1 2026-06-24T09:31:39.066Z