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arXiv · 2512.20496

Herbrand's Theorem: a short statement and a model-theoretic proof

Mariana Badano
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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.

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Mariana Badano. 2025-12-23. Herbrand's Theorem: a short statement and a model-theoretic proof. https://arxiv.org/abs/2512.20496

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