TRS: { +(0(), y) -> y, +(s(x), y) -> s(+(x, y)), -(0(), y) -> 0(), -(x, 0()) -> x, -(s(x), s(y)) -> -(x, y)} RPO Product: Quasi-Precedence: empty Qed TRS: { +(0(), y) -> y, +(s(x), y) -> s(+(x, y)), -(0(), y) -> 0(), -(x, 0()) -> x, -(s(x), s(y)) -> -(x, y)} Cdiprover: Interpretation class: quasisimplemixed Complexity bound: POLYTIME COMPUTABLE IF RPO-TERMINATING -(X4, X3) = + 0*X4^2 + 0*X3^2 + 2*X4 + 0 + 2*X3 + 0*X3*X4 s(X2) = + 1*X2 + 1 0 = + 0 +(X1, X0) = + 0*X1^2 + 0*X0^2 + 2*X1 + 0 + 2*X0 + 0*X0*X1 Qed