YES O(n^3) TRS: {f(f(a(), f(x, a())), a()) -> f(a(), f(f(x, a()), a()))} DUP: We consider a non-duplicating system. Trs: {f(f(a(), f(x, a())), a()) -> f(a(), f(f(x, a()), a()))} Matrix Interpretation: Interpretation class: triangular [0] [a] = [1] [0] [X5] [X2] [1 1 0][X5] [1 0 0][X2] [1] [f]([X4], [X1]) = [0 1 0][X4] + [0 1 0][X1] + [0] [X3] [X0] [0 0 0][X3] [0 0 0][X0] [0] Qed