Termination Proof Script
Consider the TRS R consisting of the rewrite rules
|
| 1: |
|
f(s(x)) |
→ s(s(f(p(s(x))))) |
| 2: |
|
f(0) |
→ 0 |
| 3: |
|
p(s(x)) |
→ x |
|
There are 2 dependency pairs:
|
| 4: |
|
F(s(x)) |
→ F(p(s(x))) |
| 5: |
|
F(s(x)) |
→ P(s(x)) |
|
The approximated dependency graph contains one SCC:
{4}.
-
Consider the SCC {4}.
The usable rules are {3}.
The constraints could not be solved.
Tyrolean Termination Tool (0.01 seconds)
--- May 4, 2006