2.21/2.30 MAYBE 2.21/2.30 2.21/2.30 DP problem for innermost termination. 2.21/2.30 P = 2.21/2.30 f4#(x1, x2) -> f3#(x1, x2) 2.21/2.30 f3#(I0, I1) -> f2#(I0, I1) [1 <= I1 /\ 1 <= I0] 2.21/2.30 f2#(I2, I3) -> f1#(-1 + I2, I3) 2.21/2.30 f2#(I4, I5) -> f1#(I4, -1 + I5) 2.21/2.30 f1#(I6, I7) -> f2#(I6, I7) [1 <= I7 /\ 1 <= I6] 2.21/2.30 R = 2.21/2.30 f4(x1, x2) -> f3(x1, x2) 2.21/2.30 f3(I0, I1) -> f2(I0, I1) [1 <= I1 /\ 1 <= I0] 2.21/2.30 f2(I2, I3) -> f1(-1 + I2, I3) 2.21/2.30 f2(I4, I5) -> f1(I4, -1 + I5) 2.21/2.30 f1(I6, I7) -> f2(I6, I7) [1 <= I7 /\ 1 <= I6] 2.21/2.30 2.21/2.30 The dependency graph for this problem is: 2.21/2.30 0 -> 1 2.21/2.30 1 -> 2, 3 2.21/2.30 2 -> 4 2.21/2.30 3 -> 4 2.21/2.30 4 -> 2, 3 2.21/2.30 Where: 2.21/2.30 0) f4#(x1, x2) -> f3#(x1, x2) 2.21/2.30 1) f3#(I0, I1) -> f2#(I0, I1) [1 <= I1 /\ 1 <= I0] 2.21/2.30 2) f2#(I2, I3) -> f1#(-1 + I2, I3) 2.21/2.30 3) f2#(I4, I5) -> f1#(I4, -1 + I5) 2.21/2.30 4) f1#(I6, I7) -> f2#(I6, I7) [1 <= I7 /\ 1 <= I6] 2.21/2.30 2.21/2.30 We have the following SCCs. 2.21/2.30 { 2, 3, 4 } 2.21/2.30 2.21/2.30 DP problem for innermost termination. 2.21/2.30 P = 2.21/2.30 f2#(I2, I3) -> f1#(-1 + I2, I3) 2.21/2.30 f2#(I4, I5) -> f1#(I4, -1 + I5) 2.21/2.30 f1#(I6, I7) -> f2#(I6, I7) [1 <= I7 /\ 1 <= I6] 2.21/2.30 R = 2.21/2.30 f4(x1, x2) -> f3(x1, x2) 2.21/2.30 f3(I0, I1) -> f2(I0, I1) [1 <= I1 /\ 1 <= I0] 2.21/2.30 f2(I2, I3) -> f1(-1 + I2, I3) 2.21/2.30 f2(I4, I5) -> f1(I4, -1 + I5) 2.21/2.30 f1(I6, I7) -> f2(I6, I7) [1 <= I7 /\ 1 <= I6] 2.21/2.30 2.21/2.30 EOF