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arXiv · 1710.04171

VC-dimension of short Presburger formulas

Danny Nguyen·Igor Pak
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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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BibTeXRIS

Danny Nguyen, Igor Pak. 2017-10-11. VC-dimension of short Presburger formulas. https://arxiv.org/abs/1710.04171

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