YES O(n^2) TRS: { app(app(plus(), app(s(), x)), y) -> app(s(), app(app(plus(), x), y)), app(id(), x) -> x, app(plus(), 0()) -> id() } Natural interpretation: Strict: { app(app(plus(), app(s(), x)), y) -> app(s(), app(app(plus(), x), y)), app(id(), x) -> x, app(plus(), 0()) -> id() } Weak: {} Interpretation class: deltarestricted [s](delta) = + 1 + 0*delta [0](delta) = + 0 + 0*delta [plus](delta) = + 1 + 0*delta [id](delta) = + 1 + 0*delta [app](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 0*X0*delta + 1*X1*delta + 0*delta app_tau_1(delta) = delta/(1 + 1 * delta)app_tau_2(delta) = delta/(1 + 0 * delta) Qed