Certification Problem
Input (COPS 23)
We consider the TRS containing the following rules:
|
from(x) |
→ |
:(x,from(s(x))) |
(1) |
|
sel(0,:(y,z)) |
→ |
y |
(2) |
|
sel(s(x),:(y,z)) |
→ |
sel(x,z) |
(3) |
The underlying signature is as follows:
{from/1, :/2, s/1, sel/2, 0/0}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).