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