YES O(n^2) TRS: { +(0(), y) -> y, +(s(x), y) -> s(+(x, y)), -(x, 0()) -> x, -(0(), y) -> 0(), -(s(x), s(y)) -> -(x, y) } Natural interpretation: Strict: { +(0(), y) -> y, +(s(x), y) -> s(+(x, y)), -(x, 0()) -> x, -(0(), y) -> 0(), -(s(x), s(y)) -> -(x, y) } Weak: {} Interpretation class: deltarestricted [-](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 0*X0*delta + 0*X1*delta + 1*delta [s](delta, X0) = + 1*X0 + 1 + 0*X0*delta + 1*delta [0](delta) = + 0 + 0*delta [+](delta, X1, X0) = + 1*X0 + 1*X1 + 0 + 0*X0*delta + 1*X1*delta + 1*delta -_tau_1(delta) = delta/(1 + 0 * delta)-_tau_2(delta) = delta/(1 + 0 * delta) s_tau_1(delta) = delta/(1 + 0 * delta) +_tau_1(delta) = delta/(1 + 1 * delta)+_tau_2(delta) = delta/(1 + 0 * delta) Qed