TRS: { double(0()) -> 0(), double(s(x)) -> s(s(double(x))), +(x, 0()) -> x, +(x, s(y)) -> s(+(x, y)), +(s(x), y) -> s(+(x, y)), double(x) -> +(x, x)} RPO Product: Quasi-Precedence: double > + empty Qed TRS: { double(0()) -> 0(), double(s(x)) -> s(s(double(x))), +(x, 0()) -> x, +(x, s(y)) -> s(+(x, y)), +(s(x), y) -> s(+(x, y)), double(x) -> +(x, x)} Cdiprover: Interpretation class: quasisimplemixed Complexity bound: POLYTIME COMPUTABLE IF RPO-TERMINATING +(X3, X2) = + 0*X3^2 + 0*X2^2 + 1*X3 + 0 + 2*X2 + 0*X2*X3 s(X1) = + 1*X1 + 1 double(X0) = + 0*X0^2 + 0 + 3*X0 0 = + 0 Qed