Term Rewriting System R:
[X]
f(X) -> g(h(f(X)))
Termination of R to be shown.
TRS
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
F(X) -> F(X)
Furthermore, R contains one SCC.
TRS
↳DPs
→DP Problem 1
↳Non Termination
Dependency Pair:
F(X) -> F(X)
Rule:
f(X) -> g(h(f(X)))
Found an infinite P-chain over R:
P =
F(X) -> F(X)
R =
f(X) -> g(h(f(X)))
s = F(X')
evaluates to t =F(X')
Thus, s starts an infinite chain.
Non-Termination of R could be shown.
Duration:
0:00 minutes