NO Non-Confluence Proof

Non-Confluence Proof

by ACP

Input

The rewrite relation of the following TRS is considered.

a a
f(b,x) b
f(x,a) a

Proof

1 Non-Joinable Fork

The system is not confluent due to the following forking derivations.

t0 = f(b,a)
ε a
= t1

t0 = f(b,a)
ε b
= t1

The two resulting terms cannot be joined for the following reason:

Tool configuration

ACP