NO Non-Confluence Proof

Non-Confluence Proof

by csi

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Non-Joinable Fork

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

t0 = c
ε h(f(c),f(h(c,a)))
= t1

t0 = c
ε f(b)
= t1

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

Tool configuration

csi