论文信息 - Vapnik-Chervonenkis classes of definable sets

Vapnik-Chervonenkis classes of definable sets

We show that a class of subsets of a structure uniformly definable by a first-order formula is a Vapnik-Chervonenkis class if and only if the formula does not have the independence property. Via this connection we obtain several new examples of Vapnik-Chervonenkis classes, including sets of positivity of finitely subanalytic functions.

Michael C. Laskowski | M. Laskowski

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