YES O(n^2) TRS: { f(0()) -> cons(0()), f(s(0())) -> f(p(s(0()))), p(s(0())) -> 0()} Natural interpretation: Strict: { f(0()) -> cons(0()), f(s(0())) -> f(p(s(0()))), p(s(0())) -> 0()} Weak: {} Interpretation class: deltarestricted [s](delta, X0) = + 0*X0 + 1 + 1*X0*delta + 0*delta [p](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta [f](delta, X0) = + 0*X0 + 1 + 2*X0*delta + 2*delta [0](delta) = + 0 + 0*delta [cons](delta, X0) = + 0*X0 + 0 + 2*X0*delta + 0*delta s_tau_1(delta) = delta/(0 + 1 * delta) p_tau_1(delta) = delta/(0 + 1 * delta) f_tau_1(delta) = delta/(0 + 2 * delta) cons_tau_1(delta) = delta/(0 + 2 * delta) Qed