Languajes and monoids with disjuntive identity.
Lila Kari, Gabriel Thierrin (1995)
Collectanea Mathematica
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Lila Kari, Gabriel Thierrin (1995)
Collectanea Mathematica
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Johannes Arz (1983)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Symeon Bozapalides, Anestis Firarides (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Denis Thérien (2005)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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This short note reviews the main contributions of the Ph.D. thesis of Imre Simon. His graduate work had major impact on algebraic theory of automata and thirty years later we are in a good position to appreciate how sensitive he was in selecting good problems, and how clever in solving them!
T. Kamae, M. Mendès France (1996)
Annales de l'I.H.P. Physique théorique
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Janusz A. Brzozowski (1974-1975)
Séminaire Dubreil. Algèbre et théorie des nombres
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Alfred Geroldinger (1998)
Colloquium Mathematicae
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Zoltán Ésik, Kim G. Larsen (2003)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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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.