Certification Problem
Input (COPS 71)
We consider the TRS containing the following rules:
|
F(x,y) |
→ |
c(y) |
(1) |
|
G(x) |
→ |
x |
(2) |
|
f(x) |
→ |
g(x) |
(3) |
|
g(x) |
→ |
c(x) |
(4) |
The underlying signature is as follows:
{F/2, c/1, G/1, f/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
0
step(s).