Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    g(a)  → g(b)
2:    b  → f(a,a)
3:    f(a,a)  → g(d)
There are 4 dependency pairs:
4:    G(a)  → G(b)
5:    G(a)  → B
6:    B  → F(a,a)
7:    F(a,a)  → G(d)
The approximated dependency graph contains no SCCs and hence the TRS is trivially terminating.
Tyrolean Termination Tool  (0.00 seconds)   ---  May 4, 2006