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arXiv · 1108.4398

VC density and dp rank

Hunter Johnson
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Abstract

We derive that dpR(n) \leq dens(n) \leq dpR(n)+1, where dens(n) is the supremum of the VC density of all formulas in n parameters, and dpR(n) is the maximum depth of an ICT pattern in n variables. Consequently, strong dependence is equivalent to finite VC density.

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Hunter Johnson. 2011-08-25. VC density and dp rank. https://arxiv.org/abs/1108.4398

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