NO Non-Confluence Proof

Non-Confluence Proof

by ACP

Input

The rewrite relation of the following TRS is considered.

f(a) b
a a'
f(b) c

Proof

1 Non-Joinable Fork

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

t0 = f(a)
1 f(a')
= t1

t0 = f(a)
ε b
= t1

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

Tool configuration

ACP