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Structure of the minimal automaton of a numeration language
Charlier, Emilie; Rampersad, Narad; Rigo, Michel et al.
2010In Actes de LaCIM 2010
Peer reviewed
 

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Keywords :
Automata; Numeration; Structure
Abstract :
[en] We study the structure of automata accepting the greedy representations of N in a wide class of numeration systems. We describe the conditions under which such automata can have more than one strongly connected component and the form of any such additional components. Our characterization applies, in particular, to any automaton arising from a Bertrand numeration system. Furthermore, we show that for any automaton A arising from a system with a dominant root beta>1, there is a morphism mapping A onto the automaton arising from the Bertrand system associated with the number beta.
Disciplines :
Computer science
Mathematics
Author, co-author :
Charlier, Emilie  ;  Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Rampersad, Narad ;  Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Rigo, Michel  ;  Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Waxweiler, Laurent ;  Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
Structure of the minimal automaton of a numeration language
Publication date :
August 2010
Event name :
LaCIM 2010
Event place :
Montreal, Canada
Event date :
from 29-8-2010 to 31-8-2010
Audience :
International
Main work title :
Actes de LaCIM 2010
Peer reviewed :
Peer reviewed
Available on ORBi :
since 01 July 2010

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