Certification Problem
Input (COPS 662)
We consider the TRS containing the following rules:
|
f(b) |
→ |
c |
(1) |
| c |
→ |
c |
(2) |
|
f(c) |
→ |
b |
(3) |
| a |
→ |
b |
(4) |
The underlying signature is as follows:
{f/1, b/0, c/0, a/0}Property / Task
Prove or disprove confluence.Answer / Result
Yes.Proof (by ACP @ CoCo 2021)
1 Strongly closed
Confluence is proven since the TRS is strongly closed.
The joins can be performed using
2
step(s).