0.00/0.50 MAYBE 0.00/0.50 0.00/0.50 DP problem for innermost termination. 0.00/0.50 P = 0.00/0.50 init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.50 f2#(I0, I1) -> f2#(I0 + 1, I0 * I0 + I0 + I0 + 1) [-1 <= I0 - 1 /\ 9 <= I1 - 1] 0.00/0.50 f1#(I2, I3) -> f2#(I3, I3 * I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1] 0.00/0.50 R = 0.00/0.50 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.50 f2(I0, I1) -> f2(I0 + 1, I0 * I0 + I0 + I0 + 1) [-1 <= I0 - 1 /\ 9 <= I1 - 1] 0.00/0.50 f1(I2, I3) -> f2(I3, I3 * I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1] 0.00/0.50 0.00/0.50 The dependency graph for this problem is: 0.00/0.50 0 -> 2 0.00/0.50 1 -> 1 0.00/0.50 2 -> 1 0.00/0.50 Where: 0.00/0.50 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.50 1) f2#(I0, I1) -> f2#(I0 + 1, I0 * I0 + I0 + I0 + 1) [-1 <= I0 - 1 /\ 9 <= I1 - 1] 0.00/0.50 2) f1#(I2, I3) -> f2#(I3, I3 * I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1] 0.00/0.50 0.00/0.50 We have the following SCCs. 0.00/0.50 { 1 } 0.00/0.50 0.00/0.50 DP problem for innermost termination. 0.00/0.50 P = 0.00/0.50 f2#(I0, I1) -> f2#(I0 + 1, I0 * I0 + I0 + I0 + 1) [-1 <= I0 - 1 /\ 9 <= I1 - 1] 0.00/0.50 R = 0.00/0.50 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.50 f2(I0, I1) -> f2(I0 + 1, I0 * I0 + I0 + I0 + 1) [-1 <= I0 - 1 /\ 9 <= I1 - 1] 0.00/0.50 f1(I2, I3) -> f2(I3, I3 * I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1] 0.00/0.50 0.00/3.48 EOF