Certification Problem
Input (COPS 4)
We consider the TRS containing the following rules:
|
or(true,true) |
→ |
true |
(1) |
|
or(x,y) |
→ |
or(y,x) |
(2) |
The underlying signature is as follows:
{or/2, true/0}Property / Task
Prove or disprove confluence.Answer / Result
Yes.Proof (by ACP @ CoCo 2021)
1 Strongly closed
Confluence is proven since the TRS is strongly closed.
The joins can be performed using
2
step(s).