Term Rewriting System R:
[X, Y, Z]
2nd(cons(X, cons(Y, Z))) -> Y
from(X) -> cons(X, from(s(X)))

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

FROM(X) -> FROM(s(X))

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

FROM(X) -> FROM(s(X))


Rules:


2nd(cons(X, cons(Y, Z))) -> Y
from(X) -> cons(X, from(s(X)))




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