YES Confluence Proof

Confluence Proof

by ACP

Input

The rewrite relation of the following TRS is considered.

W(W(x)) W(x)
B(I(x)) W(x)
W(B(x)) B(x)
F(H(x),y) F(H(x),G(y))
F(x,I(y)) F(G(x),I(y))
G(x) x

Proof

1 Strongly closed

Confluence is proven since the TRS is strongly closed. The joins can be performed within 3 step(s).

Tool configuration

ACP