NO Non-Confluence Proof

Non-Confluence Proof

by Hakusan

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Non-Joinable Fork

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

t0 = f(f(f(x1,a),a),a)
1 f(b,a)
= t1

t0 = f(f(f(x1,a),a),a)
ε b
= t1

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

Tool configuration

Hakusan