1.08/1.14 MAYBE 1.08/1.14 1.08/1.14 DP problem for innermost termination. 1.08/1.14 P = 1.08/1.14 init#(x1, x2) -> f1#(rnd1, rnd2) 1.08/1.14 f3#(I0, I1) -> f2#(I2, I3) [I0 <= 14 /\ I0 + 1 - 10 * y1 <= 9 /\ 0 <= I0 + 1 - 10 * y1 /\ I0 + 1 - 10 * y1 = I2] 1.08/1.14 f2#(I4, I5) -> f3#(I4, I6) [I4 <= 14] 1.08/1.14 f1#(I7, I8) -> f2#(I8, I9) [-1 <= I8 - 1 /\ 0 <= I7 - 1] 1.08/1.14 R = 1.08/1.14 init(x1, x2) -> f1(rnd1, rnd2) 1.08/1.14 f3(I0, I1) -> f2(I2, I3) [I0 <= 14 /\ I0 + 1 - 10 * y1 <= 9 /\ 0 <= I0 + 1 - 10 * y1 /\ I0 + 1 - 10 * y1 = I2] 1.08/1.14 f2(I4, I5) -> f3(I4, I6) [I4 <= 14] 1.08/1.14 f1(I7, I8) -> f2(I8, I9) [-1 <= I8 - 1 /\ 0 <= I7 - 1] 1.08/1.14 1.08/1.14 The dependency graph for this problem is: 1.08/1.14 0 -> 3 1.08/1.14 1 -> 2 1.08/1.14 2 -> 1 1.08/1.14 3 -> 2 1.08/1.14 Where: 1.08/1.14 0) init#(x1, x2) -> f1#(rnd1, rnd2) 1.08/1.14 1) f3#(I0, I1) -> f2#(I2, I3) [I0 <= 14 /\ I0 + 1 - 10 * y1 <= 9 /\ 0 <= I0 + 1 - 10 * y1 /\ I0 + 1 - 10 * y1 = I2] 1.08/1.14 2) f2#(I4, I5) -> f3#(I4, I6) [I4 <= 14] 1.08/1.14 3) f1#(I7, I8) -> f2#(I8, I9) [-1 <= I8 - 1 /\ 0 <= I7 - 1] 1.08/1.14 1.08/1.14 We have the following SCCs. 1.08/1.14 { 1, 2 } 1.08/1.14 1.08/1.14 DP problem for innermost termination. 1.08/1.14 P = 1.08/1.14 f3#(I0, I1) -> f2#(I2, I3) [I0 <= 14 /\ I0 + 1 - 10 * y1 <= 9 /\ 0 <= I0 + 1 - 10 * y1 /\ I0 + 1 - 10 * y1 = I2] 1.08/1.14 f2#(I4, I5) -> f3#(I4, I6) [I4 <= 14] 1.08/1.14 R = 1.08/1.14 init(x1, x2) -> f1(rnd1, rnd2) 1.08/1.14 f3(I0, I1) -> f2(I2, I3) [I0 <= 14 /\ I0 + 1 - 10 * y1 <= 9 /\ 0 <= I0 + 1 - 10 * y1 /\ I0 + 1 - 10 * y1 = I2] 1.08/1.14 f2(I4, I5) -> f3(I4, I6) [I4 <= 14] 1.08/1.14 f1(I7, I8) -> f2(I8, I9) [-1 <= I8 - 1 /\ 0 <= I7 - 1] 1.08/1.14 1.08/1.14 EOF