On language inequalities XK ⊆ LX

  • Authors:
  • Michal Kunc

  • Affiliations:
  • ,Department of Mathematics, University of Turku, Turku, Finland

  • Venue:
  • DLT'05 Proceedings of the 9th international conference on Developments in Language Theory
  • Year:
  • 2005

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Abstract

It is known that for a regular language L and an arbitrary language K the largest solution of the inequality XK⊆LX is regular. Here we show that there exist finite languages K and P and star-free languages L, M and R such that the largest solutions of the systems $\{XK\subseteq LX,\ X\subseteq M\}$ and $\{XK\subseteq LX,\ XP\subseteq RX\}$ are not recursively enumerable.