YES O(n^2) TRS: { first(0(), X) -> nil(), first(s(X), cons(Y)) -> cons(Y), from(X) -> cons(X) } Natural interpretation: Strict: { first(0(), X) -> nil(), first(s(X), cons(Y)) -> cons(Y), from(X) -> cons(X) } Weak: {} Interpretation class: deltarestricted [from](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 1*delta [s](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta [cons](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta [0](delta) = + 0 + 0*delta [first](delta, X1, X0) = + 0*X0 + 0*X1 + 1 + 1*X0*delta + 1*X1*delta + 1*delta [nil](delta) = + 0 + 0*delta from_tau_1(delta) = delta/(0 + 1 * delta) s_tau_1(delta) = delta/(0 + 1 * delta) cons_tau_1(delta) = delta/(0 + 1 * delta) first_tau_1(delta) = delta/(0 + 1 * delta)first_tau_2(delta) = delta/(0 + 1 * delta) Qed