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

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

G(x) -> F(g(x))
G(x) -> G(x)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

G(x) -> G(x)


Rules:


f(g(a)) -> a
f(f(x)) -> b
g(x) -> f(g(x))




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