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» A characterization of fine words over a finite alphabet
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IANDC
2008
141views more  IANDC 2008»
13 years 8 months ago
Graph connectivity, partial words, and a theorem of Fine and Wilf
The problem of computing periods in words, or finite sequences of symbols from a finite alphabet, has important applications in several areas including data compression, string se...
Francine Blanchet-Sadri, Deepak Bal, Gautam Sisodi...
LATA
2010
Springer
13 years 12 months ago
Variable Automata over Infinite Alphabets
Automated reasoning about systems with infinite domains requires an extension of regular automata to infinite alphabets. Existing formalisms of such automata cope with the infinite...
Sarai Sheinvald, Orna Grumberg, Orna Kupferman
DLT
2009
13 years 5 months ago
On the Complexity of Deciding Avoidability of Sets of Partial Words
Blanchet-Sadri et al. have shown that Avoidability, or the problem of deciding the avoidability of a finite set of partial words over an alphabet of size k 2, is NP-hard [Theoret...
Brandon Blakeley, Francine Blanchet-Sadri, Josh Gu...
DLT
2008
13 years 9 months ago
The Average State Complexity of the Star of a Finite Set of Words Is Linear
We prove that, for the uniform distribution over all sets X of m (that is a fixed integer) non-empty words whose sum of lengths is n, DX , one of the usual deterministic automata r...
Frédérique Bassino, Laura Giambruno,...
COMBINATORICA
2004
97views more  COMBINATORICA 2004»
13 years 7 months ago
Partition Theorems for Left and Right Variable Words
In 1984 T. Carlson and S. Simpson established an infinitary extension of the Hales-Jewett Theorem in which the leftmost letters of all but one of the words were required to be vari...
Neil Hindman, Randall McCutcheon