TRS: { norm(nil()) -> 0(), norm(g(x, y)) -> s(norm(x)), f(x, nil()) -> g(nil(), x), f(x, g(y, z)) -> g(f(x, y), z), rem(nil(), y) -> nil(), rem(g(x, y), 0()) -> g(x, y), rem(g(x, y), s(z)) -> rem(x, z)} Cdiprover: Interpretation class: pizerosimplemixed Complexity bound: POLYTIME COMPUTABLE rem(X7, X6) = + 0*X7^2 + 0*X6^2 + 2*X7 + 0 + 2*X6 + 0*X6*X7 f(X5, X4) = + 0*X5^2 + 0*X4^2 + 2*X5 + 0 + 3*X4 + 0*X4*X5 g(X3, X2) = + 1*X2 + 1*X3 + 1 s(X1) = + 1*X1 + 1 nil = + 1 norm(X0) = + 0*X0^2 + 0 + 2*X0 0 = + 1 Qed