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

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

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

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

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


Rules:


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




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