Fix a finite alphabet Σ having at least two letters, and an arbitrary natural number n . We denote by D n ( Π 2 0 ) the class of differences of n Π 2 0 subsets of the Cantor space Σ ω , and by D n − ( Π 2 0 ) the class of complements of sets in D n ( Π 2 0 ) . We prove the existence of finitary regular languages U n and V n such that ( U n ) ω is D 2 n + 1 ( Π 2 0 ) -complete and ( V n ) ω is D 2 n + 2 − ( Π 2 0 ) -complete.