On the Shuffle of Star-Free Languages

  • Authors:
  • Giusi Castiglione;Antonio Restivo

  • Affiliations:
  • (Correspd.) Dipartimento di Matematica e Informatica, Universitá di Palermo, Via Archirafi 34, 90123 Palermo, Italy, giusi@math.unipa.it;Dipartimento di Matematica e Informatica, Universitá di Palermo, Via Archirafi 34, 90123 Palermo, Italy, restivo@math.unipa.it

  • Venue:
  • Fundamenta Informaticae - Words, Graphs, Automata, and Languages; Special Issue Honoring the 60th Birthday of Professor Tero Harju
  • Year:
  • 2012

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Abstract

Motivated by the general problem to characterize families of languages closed under shuffle, we investigate some conditions under which the shuffle of two star-free languages is star-free. Some of the special cases here approached give rise to new problems in combinatorics on words.