NO Non-Confluence Proof

Non-Confluence Proof

by csi

Input

The rewrite relation of the following TRS is considered.

b f(b)
c b
f(f(f(c))) a
f(h(b,b)) h(h(c,a),b)

Proof

1 Non-Joinable Fork

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

t0 = f(f(f(c)))
1.1.1 f(f(f(b)))
= t1

t0 = f(f(f(c)))
ε a
= t1

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

Tool configuration

csi