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lindström quantifier

RAIRO - Theoretical Informatics and Applications (1)

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Regular languages definable by Lindström quantifiers
Zoltán Ésik, Kim G. Larsen
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 37 / Issue 3 / July 2003

Published online by Cambridge University Press:

15 November 2003, pp. 179-241

Print publication:

July 2003
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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.