Certification Problem

Input (COPS 96)

We consider the TRS containing the following rules:

F(H(x),y) F(H(x),I(I(y))) (1)
F(x,G(y)) F(I(x),G(y)) (2)
I(x) x (3)

The underlying signature is as follows:

{F/2, H/1, I/1, G/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).