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Etant donnes une matrice A∈Z 2×2 et un vecteur V 0 ∈Z 2 on determine l'existence d'un entier m et de m autres entiers positifs a m#751 ... a 0 tels que A m V 0 = Σ i=0 m#751 a i A i V 0 . Quand un tel m existe, on calcule le plus petit ainsi que les entiers a m#751 ... a 0 qui satisfont la relation

The local catenativity of DOL-sequences in free commutative monoids is decidable in the binary case