Term Rewriting System R:
[x]
f(f(x)) -> f(x)
g(0) -> g(f(0))

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

G(0) -> G(f(0))
G(0) -> F(0)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

G(0) -> G(f(0))


Rules:


f(f(x)) -> f(x)
g(0) -> g(f(0))




Termination of R could not be shown.
Duration:
0:00 minutes