Title
On a Conjecture of J. Shallit
Abstract
We solve a conjecture of J. Shallit related to the automaticity function of a unary language, or equivalently to the first occurrence function in a symbolic sequence. The answer is negative: the conjecture is false, but it can be corrected by changing the constant involved. The proof is based on a study of paths in the Rauzy graphs associated to the sequence.
Year
DOI
Venue
1997
10.1007/3-540-63165-8_223
ICALP
Keywords
Field
DocType
j. shallit
Discrete mathematics,Graph,Combinatorics,Formal language,Unary language,Finite-state machine,Automaticity,Regular language,Conjecture,Mathematics,Fibonacci number
Conference
Volume
ISSN
ISBN
1256
0302-9743
3-540-63165-8
Citations 
PageRank 
References 
4
0.55
3
Authors
1
Name
Order
Citations
PageRank
Julien Cassaigne128240.80