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