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arXiv · 2610.21738

Local definable $(p,q)$-theorem and a refinement

Gareth John Boxall·Charlotte Kestner·Tsinjo Rakotonarivo
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Abstract

We prove the definable $(p,q)$-conjecture for NIP formulas in arbitrary first-order theories. We also prove a refinement and apply it to dense pairs.

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Gareth John Boxall, Charlotte Kestner, Tsinjo Rakotonarivo. 2026-10-15. Local definable $(p,q)$-theorem and a refinement. https://arxiv.org/abs/2610.21738

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