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