0.00/0.27 YES 0.00/0.27 0.00/0.27 DP problem for innermost termination. 0.00/0.27 P = 0.00/0.27 eval#(x) -> eval#(x / 2) [x > 0 && not(x = 0) && x % 2 = 0] 0.00/0.27 eval#(I0) -> eval#(I0 - 1) [I0 > 0 && not(I0 = 0) && I0 % 2 > 0] 0.00/0.27 R = 0.00/0.27 eval(x) -> eval(x / 2) [x > 0 && not(x = 0) && x % 2 = 0] 0.00/0.27 eval(I0) -> eval(I0 - 1) [I0 > 0 && not(I0 = 0) && I0 % 2 > 0] 0.00/0.27 0.00/0.27 We use the reverse value criterion with the projection function NU: 0.00/0.27 NU[eval#(z1)] = z1 0.00/0.27 0.00/0.27 This gives the following inequalities: 0.00/0.27 x > 0 && not(x = 0) && x % 2 = 0 ==> x > x / 2 with x >= 0 0.00/0.27 I0 > 0 && not(I0 = 0) && I0 % 2 > 0 ==> I0 > I0 - 1 with I0 >= 0 0.00/0.27 0.00/0.27 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 0.00/3.25 EOF