Certification Problem
Input (COPS 941)
We consider the TRS containing the following rules:
|
b(b(c(a(b(c(x)))))) |
→ |
a(b(b(c(b(c(a(x))))))) |
(1) |
The underlying signature is as follows:
{b/1, c/1, a/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).