Certification Problem
Input (COPS 504)
We consider the TRS containing the following rules:
|
+(x,y) |
→ |
+(y,x) |
(1) |
|
*(+(x,y),z) |
→ |
+(*(x,z),*(y,z)) |
(2) |
|
*(+(y,x),z) |
→ |
+(*(x,z),*(y,z)) |
(3) |
The underlying signature is as follows:
{+/2, */2}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).