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» On finite alphabets and infinite bases
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COMBINATORICA
2004
97views more  COMBINATORICA 2004»
13 years 9 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
DLT
2009
13 years 7 months ago
On Negative Bases
Abstract. We study expansions in non-integer negative base - introduced by Ito and Sadahiro [7]. Using countable automata associated with (-)-expansions, we characterize the case w...
Christiane Frougny, Anna Chiara Lai
ENDM
2008
82views more  ENDM 2008»
13 years 10 months ago
Repetition-free longest common subsequence
We study the problem of, given two sequences x and y over a finite alphabet, finding a repetitionfree longest common subsequence of x and y. We show several algorithmic results, a...
Said Sadique Adi, Marília D. V. Braga, Cris...
ICMAS
2000
13 years 11 months ago
Reasoning About Others: Representing and Processing Infinite Belief Hierarchies
In this paper we focus on the problem of how infinite belief hierarchies can be represented and reasoned with in a computationally tractable way. When modeling nested beliefs one ...
Sviatoslav Brainov, Tuomas Sandholm
TIT
2002
72views more  TIT 2002»
13 years 9 months ago
Universal codes for finite sequences of integers drawn from a monotone distribution
We offer two noiseless codes for blocks of integers Xn = (X1, . . . , Xn). We provide explicit bounds on the relative redundancy that are valid for any distribution F in the class...
Dean P. Foster, Robert A. Stine, Abraham J. Wyner