Certification Problem
Input (COPS 691)
We consider the TRS containing the following rules:
|
h(a,a) |
→ |
f(c) |
(1) |
| a |
→ |
a |
(2) |
| a |
→ |
a |
(2) |
| b |
→ |
h(c,a) |
(3) |
The underlying signature is as follows:
{h/2, a/0, f/1, c/0, b/0}Property / Task
Prove or disprove confluence.Answer / Result
Yes.Proof (by ACP @ CoCo 2022)
1 Strongly closed
Confluence is proven since the TRS is strongly closed.
The joins can be performed using
2
step(s).