VC-dimension of short Presburger formulas

Published 11 Oct 2017 in math.LO, cs.LO, and math.CO | (1710.04171v1)

Abstract: We study VC-dimension of short formulas in Presburger Arithmetic, defined to have a bounded number of variables, quantifiers and atoms. We give both lower and upper bounds, which are tight up to a polynomial factor in the bit length of the formula.

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