TRS: { D(t()) -> 1(), D(constant()) -> 0(), D(+(x, y)) -> +(D(x), D(y)), D(*(x, y)) -> +(*(y, D(x)), *(x, D(y))), D(-(x, y)) -> -(D(x), D(y))} LMPO: Quasi-Precedence: empty Normal: pi(D) = [1] Safe: Predicative System: { D(t();) -> 1(), D(constant();) -> 0(), D(+(x,y;);) -> +(D(x;),D(y;);), D(*(x,y;);) -> +(*(y,D(x;);),*(x,D(y;););), D(-(x,y;);) -> -(D(x;),D(y;);)} Qed