English

Lazard's Elimination (in traces) is finite-state recognizable

Combinatorics 2016-08-16 v1

Abstract

We prove that the codes issued from the elimination of any subalphabet in a trace monoid are finite state recognizable. This implies in particular that the transitive factorizations of the trace monoids are recognizable by (boolean) finite-state automata.

Keywords

Cite

@article{arxiv.math/0607280,
  title  = {Lazard's Elimination (in traces) is finite-state recognizable},
  author = {Gérard Duchamp and Jean-Gabriel Luque},
  journal= {arXiv preprint arXiv:math/0607280},
  year   = {2016}
}
R2 v1 2026-07-22T17:38:52.458Z