On a conjecture of schnoebelen

  • Authors:
  • Antonio Cano Gómez;Jean-Éric Pin

  • Affiliations:
  • Departamento de Sistemas Informáticos y Computación, Universidad Politénica de Valencia, Valencia;LIAFA, Université Paris VII and CNRS, Paris Cedex 05, France

  • Venue:
  • DLT'03 Proceedings of the 7th international conference on Developments in language theory
  • Year:
  • 2003

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Abstract

The notion of sequential and parallel decomposition of a language over a set of languages was introduced by Schnoebelen. A language is decomposable if it belongs to a finite set of languages S such that each member of S admits a sequential and parallel decomposition over S. We disprove a conjecture of Schnoebelen concerning decomposable languages and establish some new properties of these languages.