VC density and dp rank

Published 22 Aug 2011 in math.LO and math.CO | (1108.4398v3)

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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Authors (1)

Hunter Johnson

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