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