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arXiv · 2511.00282

Consequences of Dependent Dividing on Burden

Yuki Takahashi
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Abstract

If $T$ has dependent dividing, then the burden agrees with the dp-rank witnessed by NIP formulas. We use this observation to prove that if $T$ has dependent dividing, then the burden is sub-additive. We also state a connection between the burden and the dual VC density.

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Yuki Takahashi. 2025-10-31. Consequences of Dependent Dividing on Burden. https://arxiv.org/abs/2511.00282

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