Certification Problem
Input (COPS 718)
We consider the TRS containing the following rules:
|
h(c,c) |
→ |
h(b,f(b)) |
(1) |
|
f(h(a,h(c,a))) |
→ |
c |
(2) |
|
h(c,b) |
→ |
f(a) |
(3) |
The underlying signature is as follows:
{h/2, c/0, b/0, f/1, a/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
0
step(s).