English

Upper bound for the minimal quantifier depth of the first part of a monadic second-order sentence without asymptotic probability

Combinatorics 2018-02-15 v3 Logic

Abstract

In this paper we found an upper bound for the minimal quantifier depth of the first part of a monadic second-order sentence without asymptotic probability described by Jerzy Tyszkiewicz, which express the extension grid axiom in the Erd\H{o}s-R\'enyi model of random graphs G(n,nα)G(n,n^{-\alpha}) for some irrational α\alpha.

Keywords

Cite

@article{arxiv.1802.02671,
  title  = {Upper bound for the minimal quantifier depth of the first part of a monadic second-order sentence without asymptotic probability},
  author = {Mickel González Sánchez and Maksim Evgenievich Zhukovskii},
  journal= {arXiv preprint arXiv:1802.02671},
  year   = {2018}
}

Comments

no significant new ideas