Certification Problem
Input (COPS 40)
We consider the TRS containing the following rules:
|
f(a) |
→ |
b |
(1) |
|
f(a) |
→ |
f(c) |
(2) |
| a |
→ |
d |
(3) |
|
f(d) |
→ |
b |
(4) |
|
f(c) |
→ |
b |
(5) |
| d |
→ |
c |
(6) |
The underlying signature is as follows:
{f/1, a/0, b/0, c/0, d/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
3
step(s).