Regular Languages Definable by Lindström Quantifiers

Zoltán Ésik
Kim G. Larsen

August 2003


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

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