YES Confluence Proof

Confluence Proof

by ACP

Input

The rewrite relation of the following TRS is considered.

f(g(g(x))) → a
f(g(h(x))) → b
f(h(g(x))) → b
f(h(h(x))) → c
g(x) → h(x)
a → b
b → c

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