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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?

The sequence equivalence problem for dol systems is decidable