The Sequence Equivalence Problem for D0L Systems is Decidable

The sequence equivalence problem for DOL systems is shown to be decidable. In an algebraic formulation the sequence equivalence problem for DOL systems can be stated as follows: Given homomorphisms h1 and h2 on a free monoid Σ* and a word σ from Σ*, is h 1 n (σ)=h 2 n (σ) for all n>0?