Certification Problem

Input (COPS 945)

We consider the TRS containing the following rules:

a(a(b(b(x)))) → b(b(b(b(b(a(a(a(a(a(x)))))))))) (1)

The underlying signature is as follows:

{a/1, b/1}

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).