Term Rewriting System R:
[X]
f(X, g(X)) -> f(1, g(X))
g(1) -> g(0)

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

F(X, g(X)) -> F(1, g(X))
G(1) -> G(0)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

F(X, g(X)) -> F(1, g(X))


Rules:


f(X, g(X)) -> f(1, g(X))
g(1) -> g(0)




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