A unified abstract regularity lemma
arXiv:2606.0619217.4
AI Analysis
Provides a unifying framework for several known regularity lemmas, but the result is theoretical and incremental in nature.
The paper proves a unified abstract regularity lemma that generalizes Szemerédi's graph regularity lemma, Green's arithmetic regularity lemma, and a regularity lemma for Boolean functions, recovering them as direct corollaries.
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.