English

Two universal 3-quantifier representations of recursively enumerable sets

Logic 2008-02-08 v1

Abstract

It is proved that all recursively enumerable sets of natural numbers can be represented by arithmetic formulas (of two kinds) with only 3 quantifiers.

Keywords

Cite

@article{arxiv.0802.1052,
  title  = {Two universal 3-quantifier representations of recursively enumerable sets},
  author = {Yuri Matiyasevich and Julia Robinson},
  journal= {arXiv preprint arXiv:0802.1052},
  year   = {2008}
}

Comments

This is English translation of a paper originally published in Russian; several misprints were corrected

R2 v1 2026-06-21T10:10:37.749Z