TRS: { a__f(X) -> g(h(f(X))), mark(f(X)) -> a__f(mark(X)), mark(g(X)) -> g(X), mark(h(X)) -> h(mark(X)), a__f(X) -> f(X)} RPO Product: Quasi-Precedence: mark > a__f empty Qed TRS: { a__f(X) -> g(h(f(X))), mark(f(X)) -> a__f(mark(X)), mark(g(X)) -> g(X), mark(h(X)) -> h(mark(X)), a__f(X) -> f(X)} Cdiprover: Interpretation class: quasisimplemixed Complexity bound: POLYTIME COMPUTABLE IF RPO-TERMINATING mark(X4) = + 0*X4^2 + 0 + 3*X4 a__f(X3) = + 0*X3^2 + 3 + 1*X3 f(X2) = + 1*X2 + 1 h(X1) = + 1*X1 + 1 g(X0) = + 1*X0 + 1 Qed