0.00/0.32 YES 0.00/0.32 0.00/0.32 DP problem for innermost termination. 0.00/0.32 P = 0.00/0.32 eval#(l, u) -> eval#(l, (l + u) / 2) [l >= 0 && u >= 0 && l < u] 0.00/0.32 eval#(I0, I1) -> eval#((I0 + I1) / 2 + 1, I1) [I0 >= 0 && I1 >= 0 && I0 < I1] 0.00/0.32 R = 0.00/0.32 eval(l, u) -> eval(l, (l + u) / 2) [l >= 0 && u >= 0 && l < u] 0.00/0.32 eval(I0, I1) -> eval((I0 + I1) / 2 + 1, I1) [I0 >= 0 && I1 >= 0 && I0 < I1] 0.00/0.32 0.00/0.32 We use the reverse value criterion with the projection function NU: 0.00/0.32 NU[eval#(z1,z2)] = z2 + -1 * z1 0.00/0.32 0.00/0.32 This gives the following inequalities: 0.00/0.32 l >= 0 && u >= 0 && l < u ==> u + -1 * l > (l + u) / 2 + -1 * l with u + -1 * l >= 0 0.00/0.32 I0 >= 0 && I1 >= 0 && I0 < I1 ==> I1 + -1 * I0 > I1 + -1 * ((I0 + I1) / 2 + 1) with I1 + -1 * I0 >= 0 0.00/0.32 0.00/0.32 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 0.00/3.30 EOF