English

Finitely generated ideal languages and synchronizing automata

Formal Languages and Automata Theory 2013-05-03 v1

Abstract

We study representations of ideal languages by means of strongly connected synchronizing automata. For every finitely generated ideal language L we construct such an automaton with at most 2^n states, where n is the maximal length of words in L. Our constructions are based on the De Bruijn graph.

Keywords

Cite

@article{arxiv.1305.0336,
  title  = {Finitely generated ideal languages and synchronizing automata},
  author = {Vladimir V. Gusev and Marina I. Maslennikova and Elena V. Pribavkina},
  journal= {arXiv preprint arXiv:1305.0336},
  year   = {2013}
}

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Submitted to WORDS 2013

R2 v1 2026-06-22T00:09:56.961Z