The expressive power of the shuffle product

Antonio Restivo, Luc Boasson, Jean Berstel, Olivier Carton, Jean-Éric Pin

Risultato della ricerca: Articlepeer review

11 Citazioni (Scopus)

Abstract

There is an increasing interest in the shuffle product on formal languages, mainly because it is a standard tool for modeling process algebras. It still remains a mysterious operation on regular languages. Antonio Restivo proposed as a challenge to characterize the smallest class of languages containing the singletons and closed under Boolean operations, product and shuffle. This problem is still widely open, but we present some partial results on it. We also study some other smaller classes, including the smallest class containing the languages composed of a single word of length 2 which is closed under Boolean operations and shuffle by a letter (resp. shuffle by a letter and by the star of a letter). The proof techniques have both an algebraic and a combinatorial flavor.
Lingua originaleEnglish
pagine (da-a)1258-1272
Numero di pagine15
RivistaInformation and Computation
Volume208
Stato di pubblicazionePublished - 2010

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Computer Science Applications
  • Computational Theory and Mathematics

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