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TCS
2010
13 years 2 months ago
Factorization forests for infinite words and applications to countable scattered linear orderings
The theorem of factorization forests of Imre Simon shows the existence of nested factorizations -- `a la Ramsey -- for finite words. This theorem has important applications in sem...
Thomas Colcombet
AML
2004
52views more  AML 2004»
13 years 7 months ago
Effectiveness for infinite variable words and the Dual Ramsey Theorem
We examine the Dual Ramsey Theorem and two related combinatorial principles VW(k, l) and OVW(k, l) from the perspectives of reverse mathematics and effective mathematics. We give a...
Joseph S. Miller, Reed Solomon
ITA
2008
165views Communications» more  ITA 2008»
13 years 7 months ago
Dejean's conjecture and letter frequency
We prove two cases of a strong version of Dejean's conjecture involving extremal letter frequencies. The results are that there exist an infinite " 5 4 + " -free wor...
Jérémie Chalopin, Pascal Ochem
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
LPAR
2010
Springer
13 years 5 months ago
On the Satisfiability of Two-Variable Logic over Data Words
Data trees and data words have been studied extensively in connection with XML reasoning. These are trees or words that, in addition to labels from a finite alphabet, carry labels ...
Claire David, Leonid Libkin, Tony Tan