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

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

F(a, y) -> F(y, g(y))
F(a, y) -> G(y)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

F(a, y) -> F(y, g(y))


Rules:


f(a, y) -> f(y, g(y))
g(a) -> b
g(b) -> b




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