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

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

A -> G(c)
F(g(X), b) -> F(a, X)
F(g(X), b) -> A

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

F(g(X), b) -> F(a, X)


Rules:


a -> g(c)
g(a) -> b
f(g(X), b) -> f(a, X)




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