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

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

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

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

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


Rules:


f(s(x)) -> f(g(x, x))
g(0, 1) -> s(0)
0 -> 1




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