Certification Problem
Input (COPS 104)
We consider the TRS containing the following rules:
|
Ap(Ap(Ap(S,x),y),z) |
→ |
Ap(Ap(x,z),Ap(y,z)) |
(1) |
|
Ap(Ap(K,x),y) |
→ |
x |
(2) |
|
Ap(I,x) |
→ |
x |
(3) |
The underlying signature is as follows:
{Ap/2, S/0, K/0, I/0}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).