The rewrite relation of the following TRS is considered.
| f(f(X)) | → | f(g(f(g(f(X))))) | (1) |
| f(g(f(X))) | → | f(g(X)) | (2) |
| f(f(X)) | → | f(g(f(g(f(X))))) | (1) |
| f(g(f(X))) | → | g(f(X)) | (3) |
final states:
{0, 1}
transitions:
| f0(0) | → | 0 |
| f0(1) | → | 0 |
| g0(0) | → | 1 |
| g0(1) | → | 1 |
| f1(0) | → | 4 |
| g1(4) | → | 2 |
| f1(2) | → | 3 |
| g1(3) | → | 2 |
| f1(2) | → | 0 |
| f1(1) | → | 4 |
| f2(2) | → | 7 |
| g2(7) | → | 5 |
| f2(5) | → | 6 |
| g2(6) | → | 5 |
| f2(5) | → | 4 |
| f2(0) | → | 7 |
| g2(7) | → | 0 |
| f2(1) | → | 7 |
| f1(5) | → | 4 |
| f3(2) | → | 8 |
| g3(8) | → | 4 |
| f3(0) | → | 8 |
| f3(1) | → | 8 |
| f3(5) | → | 8 |
| 2 | → | 0 |
| 2 | → | 4 |
| 5 | → | 4 |
| 5 | → | 3 |
| 4 | → | 7 |
| 4 | → | 6 |
| 4 | → | 8 |