English

A decidable characterization of locally testable tree languages

Formal Languages and Automata Theory 2015-07-01 v2

Abstract

A regular tree language L is locally testable if membership of a tree in L depends only on the presence or absence of some fix set of neighborhoods in the tree. In this paper we show that it is decidable whether a regular tree language is locally testable. The decidability is shown for ranked trees and for unranked unordered trees.

Cite

@article{arxiv.1109.5851,
  title  = {A decidable characterization of locally testable tree languages},
  author = {Thomas Place and Luc Segoufin},
  journal= {arXiv preprint arXiv:1109.5851},
  year   = {2015}
}
R2 v1 2026-06-21T19:10:57.198Z