YES O(n^2) TRS: { g(empty(), d) -> d, g(cons(x, k), d) -> g(k, cons(x, d)), f(a, empty()) -> g(a, empty()), f(a, cons(x, k)) -> f(cons(x, a), k) } Natural interpretation: Strict: { g(empty(), d) -> d, g(cons(x, k), d) -> g(k, cons(x, d)), f(a, empty()) -> g(a, empty()), f(a, cons(x, k)) -> f(cons(x, a), k) } Weak: {} Interpretation class: deltarestricted [cons](delta, X1, X0) = + 1*X0 + 0*X1 + 2 + 0*X0*delta + 2*X1*delta + 0*delta [f](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 3*X0*delta + 2*X1*delta + 0*delta [empty](delta) = + 2 + 2*delta [g](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 0*X0*delta + 2*X1*delta + 0*delta cons_tau_1(delta) = delta/(0 + 2 * delta)cons_tau_2(delta) = delta/(1 + 0 * delta) f_tau_1(delta) = delta/(1 + 2 * delta)f_tau_2(delta) = delta/(1 + 3 * delta) g_tau_1(delta) = delta/(1 + 2 * delta)g_tau_2(delta) = delta/(1 + 0 * delta) Qed