Herbrand's Theorem: a short statement and a model-theoretic proof
Logic
2025-12-24 v1
Abstract
Herbrand's Theorem is a fundamental result in mathematical logic which provides a reduction of first-order formulas satisfied by a universal class to formulas free of existential quantifiers. In this work, a simpler and self-contained formulation of Herbrand's Theorem is presented, along with a model-theoretic proof of its general version.
Cite
@article{arxiv.2512.20496,
title = {Herbrand's Theorem: a short statement and a model-theoretic proof},
author = {Mariana Badano},
journal= {arXiv preprint arXiv:2512.20496},
year = {2025}
}
Comments
8 pages. Submitted to Archive for Mathematical Logic