Certification Problem
Input (COPS 72)
We consider the TRS containing the following rules:
|
F(c(x)) |
→ |
G(x) |
(1) |
|
G(x) |
→ |
F(x) |
(2) |
|
c(x) |
→ |
x |
(3) |
The underlying signature is as follows:
{F/1, c/1, G/1}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).