YES O(n^2) TRS: { f(f(x)) -> f(x), f(s(x)) -> f(x), g(s(0())) -> g(f(s(0())))} Natural interpretation: Strict: { f(f(x)) -> f(x), f(s(x)) -> f(x), g(s(0())) -> g(f(s(0())))} Weak: {} Interpretation class: deltarestricted [0](delta) = + 3 + 0*delta [g](delta, X0) = + 0*X0 + 0 + 2*X0*delta + 0*delta [s](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 2*delta [f](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 1*delta g_tau_1(delta) = delta/(0 + 2 * delta) s_tau_1(delta) = delta/(1 + 0 * delta) f_tau_1(delta) = delta/(0 + 1 * delta) Qed