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ITA
2008
137views Communications» more  ITA 2008»
13 years 9 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 9 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 9 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
ITA
2008
123views Communications» more  ITA 2008»
13 years 9 months ago
On some problems related to palindrome closure
In this paper we solve some open problems related to (pseudo)palindrome closure operators and to the infinite words generated by their iteration, that is, standard episturmian and...
Michelangelo Bucci, Aldo de Luca, Alessandro De Lu...
ITA
2008
150views Communications» more  ITA 2008»
13 years 9 months ago
A note on univoque self-Sturmian numbers
We compare two sets of (infinite) binary sequences whose suffixes satisfy extremal conditions: one occurs when studying iterations of unimodal continuous maps from the unit interva...
Jean-Paul Allouche
ITA
2008
147views Communications» more  ITA 2008»
13 years 9 months ago
A morphic approach to combinatorial games: the Tribonacci case
We propose a variation of Wythoff's game on three piles of tokens, in the sense that the losing positions can be derived from the Tribonacci word instead of the Fibonacci word...
Éric Duchêne, Michel Rigo
ITA
2008
111views Communications» more  ITA 2008»
13 years 9 months ago
A new algebraic invariant for weak equivalence of sofic subshifts
It is studied how taking the inverse image by a sliding block code affects the syntactic semigroup of a sofic subshift. Two independent approaches are used: -semigroups as recogni...
Laura Chaubard, Alfredo Costa
IJHPCA
2006
125views more  IJHPCA 2006»
13 years 9 months ago
Complexity Results for Collective Communications on Heterogeneous Platforms
In this paper, we consider the communications involved in the execution of a complex application, deployed on a heterogeneous platform. Such applications extensively use macro-com...
Olivier Beaumont, Loris Marchal, Yves Robert