Certification Problem
Input (COPS 96)
We consider the TRS containing the following rules:
|
F(H(x),y) |
→ |
F(H(x),I(I(y))) |
(1) |
|
F(x,G(y)) |
→ |
F(I(x),G(y)) |
(2) |
|
I(x) |
→ |
x |
(3) |
The underlying signature is as follows:
{F/2, H/1, I/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
5
step(s).