Termination Proof Script

Consider the TRS R consisting of the rewrite rules
1:    f(f(x))  → f(x)
2:    g(0)  → g(f(0))
There are 2 dependency pairs:
3:    G(0)  → G(f(0))
4:    G(0)  → F(0)
The approximated dependency graph contains no SCCs and hence the TRS is trivially terminating.
Tyrolean Termination Tool  (0.00 seconds)   ---  May 3, 2006