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arXiv · 2606.06192

A unified abstract regularity lemma

Gaia Carenini·Leonardo Franchi
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Abstract

The goal of this short note is to prove a unified abstract regularity lemma which recovers Szemerédi's graph regularity lemma, Green's arithmetic regularity lemma, and a regularity lemma for Boolean functions as direct corollaries.

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Gaia Carenini, Leonardo Franchi. 2026-06-04. A unified abstract regularity lemma. https://arxiv.org/abs/2606.06192

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