Certification Problem
Input (COPS 103)
We consider the TRS containing the following rules:
|
f(f(x,y),z) |
→ |
f(x,f(y,z)) |
(1) |
|
f(x,y) |
→ |
f(y,x) |
(2) |
The underlying signature is as follows:
{f/2}Property / Task
Prove or disprove confluence.Answer / Result
Yes.Proof (by csi @ CoCo 2023)
1 Strongly closed
Confluence is proven since the TRS is strongly closed.
The joins can be performed using
7
step(s).