Vapnik-Chervonenkis density in some theories without the independence   property, I
  We recast the problem of calculating Vapnik-Chervonenkis (VC) density into one of counting types, and thereby calculate bounds (often optimal) on the VC density for some weakly o-minimal, weakly quasi-o-minimal, and $P$-minimal theories. 
M. Aschenbrenner, A. Dolich, D. Haskell, D. Macpherson, S. Starchenko
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