YES O(n^2) TRS: { rev(a()) -> a(), rev(b()) -> b(), rev(++(x, y)) -> ++(rev(y), rev(x)), rev(++(x, x)) -> rev(x) } DUP: We consider a non-duplicating system. Trs: { rev(a()) -> a(), rev(b()) -> b(), rev(++(x, y)) -> ++(rev(y), rev(x)), rev(++(x, x)) -> rev(x) } Matrix Interpretation: Interpretation class: triangular [X3] [X1] [1 0][X3] [1 0][X1] [0] [++]([X2], [X0]) = [0 1][X2] + [0 1][X0] + [1] [0] [b] = [1] [X1] [1 1][X1] [0] [rev]([X0]) = [0 1][X0] + [0] [0] [a] = [1] Qed