YES O(n^2) TRS: { f(s(X)) -> f(X), g(cons(s(X), Y)) -> s(X), g(cons(0(), Y)) -> g(Y), h(cons(X, Y)) -> h(g(cons(X, Y))) } Natural interpretation: Strict: { f(s(X)) -> f(X), g(cons(s(X), Y)) -> s(X), g(cons(0(), Y)) -> g(Y), h(cons(X, Y)) -> h(g(cons(X, Y))) } Weak: {} Interpretation class: deltarestricted [h](delta, X0) = + 0*X0 + 0 + 3*X0*delta + 0*delta [0](delta) = + 0 + 1*delta [cons](delta, X1, X0) = + 0*X0 + 0*X1 + 3 + 2*X0*delta + 1*X1*delta + 0*delta [g](delta, X0) = + 0*X0 + 0 + 2*X0*delta + 1*delta [s](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 1*delta [f](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta h_tau_1(delta) = delta/(0 + 3 * delta) cons_tau_1(delta) = delta/(0 + 1 * delta)cons_tau_2(delta) = delta/(0 + 2 * delta) g_tau_1(delta) = delta/(0 + 2 * delta) s_tau_1(delta) = delta/(0 + 1 * delta) f_tau_1(delta) = delta/(0 + 1 * delta) Qed