English

On uniform definability of types over finite sets for NIP formulas

Logic 2020-11-30 v2

Abstract

Combining two results from machine learning theory we prove that a formula is NIP if and only if it satisfies uniform definability of types over finite sets (UDTFS). This settles a conjecture of Laskowski.

Keywords

Cite

@article{arxiv.1904.10336,
  title  = {On uniform definability of types over finite sets for NIP formulas},
  author = {Shlomo Eshel and Itay Kaplan},
  journal= {arXiv preprint arXiv:1904.10336},
  year   = {2020}
}