Term Rewriting System R:
[X, Y]
f(X) -> if(X, c, f(true))
if(true, X, Y) -> X
if(false, X, Y) -> Y

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

F(X) -> IF(X, c, f(true))
F(X) -> F(true)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

F(X) -> F(true)


Rules:


f(X) -> if(X, c, f(true))
if(true, X, Y) -> X
if(false, X, Y) -> Y




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