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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.
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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