Consequences of Dependent Dividing on Burden
Logic
2026-02-24 v2
Abstract
If has dependent dividing, then the burden agrees with the dp-rank witnessed by NIP formulas. We use this observation to prove that if has dependent dividing, then the burden is sub-additive. We also state a connection between the burden and the dual VC density.
Keywords
Cite
@article{arxiv.2511.00282,
title = {Consequences of Dependent Dividing on Burden},
author = {Yuki Takahashi},
journal= {arXiv preprint arXiv:2511.00282},
year = {2026}
}
Comments
12 pages