Termination Proof Script
Consider the TRS R consisting of the rewrite rules
|
| 1: |
|
average(s(x),y) |
→ average(x,s(y)) |
| 2: |
|
average(x,s(s(s(y)))) |
→ s(average(s(x),y)) |
| 3: |
|
average(0,0) |
→ 0 |
| 4: |
|
average(0,s(0)) |
→ 0 |
| 5: |
|
average(0,s(s(0))) |
→ s(0) |
|
There are 2 dependency pairs:
|
| 6: |
|
AVERAGE(s(x),y) |
→ AVERAGE(x,s(y)) |
| 7: |
|
AVERAGE(x,s(s(s(y)))) |
→ AVERAGE(s(x),y) |
|
The approximated dependency graph contains one SCC:
{6,7}.
-
Consider the SCC {6,7}.
There are no usable rules.
The constraints could not be solved.
Tyrolean Termination Tool (0.01 seconds)
--- May 3, 2006