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ITA
2008
122views Communications» more  ITA 2008»
13 years 11 months ago
Parikh test sets for commutative languages
A set T L is a Parikh test set of L iff c(T ) is a test set of c(L). We give an effective characterization of Parikh test sets for arbitrary commutative language.
Stepan Holub
ITA
2008
125views Communications» more  ITA 2008»
13 years 11 months ago
Efficient weighted expressions conversion
Faissal Ouardi, Djelloul Ziadi
ITA
2008
119views Communications» more  ITA 2008»
13 years 11 months ago
Some Algebraic Properties of Machine Poset of Infinite Words
The complexity of infinite words is considered from the point of view of a transformation with a Mealy machine that is the simplest model of a finite automaton transducer. We are ...
Aleksandrs Belovs
ITA
2008
125views Communications» more  ITA 2008»
13 years 11 months ago
From Bi-ideals to Periodicity
The necessary and sufficient conditions are extracted for periodicity of bi-ideals. By the way two proper subclasses of uniformly recurrent words are introduced.
Janis Buls, Aivars Lorencs
ITA
2008
107views Communications» more  ITA 2008»
13 years 11 months ago
On Varieties of Literally Idempotent Languages
A language L A is literally idempotent in case that ua2 v L if and only if uav L, for each u, v A , a A. Varieties of literally idempotent languages result naturally by taking...
Ondrej Klíma, Libor Polák
ITA
2008
137views Communications» more  ITA 2008»
13 years 11 months ago
Weakly maximal decidable structures
We prove that there exists a structure M whose monadic second order theory is decidable, and such that the elementary theory of every expansion of M by a constant is undecidable. 1...
Alexis Bès, Patrick Cégielski
ITA
2008
165views Communications» more  ITA 2008»
13 years 11 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
ITA
2008
137views Communications» more  ITA 2008»
13 years 11 months ago
Drunken man infinite words complexity
In this article, we study the complexity of drunken man infinite words. We show that these infinite words, generated by a deterministic and complete countable automaton, or equival...
Marion Le Gonidec