Certification Problem
Input (COPS 740)
We consider the TRS containing the following rules:
|
f(a,f(x,a)) |
→ |
f(a,f(f(a,a),a)) |
(1) |
The underlying signature is as follows:
{f/2, a/0}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).