Regular solutions of language inequalities and well quasi-orders

  • Authors:
  • Michal Kunc

  • Affiliations:
  • Department of Mathematics, Masaryk University, Brno, Czech Republic

  • Venue:
  • Theoretical Computer Science - Automata, languages and programming: Algorithms and complexity (ICALP-A 2004)
  • Year:
  • 2005

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Abstract

By means of constructing suitable well quasi-orders of free monoids we prove that all maximal solutions of certain systems of language inequalities are regular. This way we deal with a wide class of systems of inequalities where all constants are languages recognized by finite simple semigroups. In a similar manner we also demonstrate that the largest solution of the inequality XK ⊆ LX is regular provided the language L is regular.