Certification Problem
Input (COPS 803)
We consider the TRS containing the following rules:
|
g(a,y) |
→ |
y |
(1) |
|
f(x,a) |
→ |
f(x,g(x,b)) |
(2) |
|
g(h(x),y) |
→ |
g(x,h(y)) |
(3) |
The underlying signature is as follows:
{g/2, a/0, f/2, b/0, h/1}Property / Task
Prove or disprove confluence.Answer / Result
Yes.Proof (by ACP @ CoCo 2023)
1 Development Closed
Confluence is proven since the TRS is development closed.
The joins can be performed using
1 development
step(s).