Certification Problem

Input (COPS 681)

We consider the TRS containing the following rules:

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

The underlying signature is as follows:

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

Property / Task

Prove or disprove confluence.

Answer / Result

Yes.

Proof (by ACP @ CoCo 2020)

1 Strongly closed

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