Term Rewriting System R:
[x]
f(x) -> g(f(x))
g(f(x)) -> x
g(x) -> a
Termination of R to be shown.
R
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
F(x) -> G(f(x))
F(x) -> F(x)
Furthermore, R contains one SCC.
R
↳DPs
→DP Problem 1
↳Remaining Obligation(s)
The following remains to be proven:
Dependency Pair:
F(x) -> F(x)
Rules:
f(x) -> g(f(x))
g(f(x)) -> x
g(x) -> a
Termination of R could not be shown.
Duration:
0:00 minutes