Termination Proof Script
Consider the TRS R consisting of the rewrite rules
|
1: |
|
f(a) |
→ g(h(a)) |
2: |
|
h(g(x)) |
→ g(h(f(x))) |
3: |
|
k(x,h(x),a) |
→ h(x) |
4: |
|
k(f(x),y,x) |
→ f(x) |
|
There are 3 dependency pairs:
|
5: |
|
F(a) |
→ H(a) |
6: |
|
H(g(x)) |
→ H(f(x)) |
7: |
|
H(g(x)) |
→ F(x) |
|
The approximated dependency graph contains one SCC:
{6}.
-
Consider the SCC {6}.
The usable rules are {1,2}.
The constraints could not be solved.
Tyrolean Termination Tool (0.02 seconds)
--- May 4, 2006