English

A Note on a Recent Attempt to Improve the Pin-Frankl Bound

Formal Languages and Automata Theory 2014-12-03 v1

Abstract

We provide a counterexample to a lemma used in a recent tentative improvement of the the Pin-Frankl bound for synchronizing automata. This example naturally leads us to formulate an open question, whose answer could fix the line of proof, and improve the bound.

Keywords

Cite

@article{arxiv.1412.0975,
  title  = {A Note on a Recent Attempt to Improve the Pin-Frankl Bound},
  author = {François Gonze and Raphaël M. Jungers and A. N. Trahtman},
  journal= {arXiv preprint arXiv:1412.0975},
  year   = {2014}
}

Comments

Short note presenting a counterexample and the resulting open question

R2 v1 2026-06-22T07:18:15.394Z