Certification Problem

Input (COPS 649)

We consider the TRS containing the following rules:

a a (1)
b h(f(f(f(b))),h(b,f(a))) (2)

The underlying signature is as follows:

{a/0, b/0, h/2, f/1}

Property / Task

Prove or disprove confluence.

Answer / Result

Yes.

Proof (by ACP @ CoCo 2022)

1 Strongly closed

Confluence is proven since the TRS is strongly closed. The joins can be performed using 0 step(s).