Regular Languages Definable by Lindström Quantifiers

  • Zoltán Ésik
  • Kim G. Larsen

Abstract

In our main result, we establish a formal connection between Lindström quantifiers with respect to regular languages and the double semidirect product of finite monoids with a distinguished set of generators. We use this correspondence to characterize the expressive power of Lindström quantifiers associated with a class of regular languages.
Published
2003-08-07
How to Cite
Ésik, Z., & Larsen, K. (2003). Regular Languages Definable by Lindström Quantifiers. BRICS Report Series, 10(28). https://doi.org/10.7146/brics.v10i28.21796