NO Non-Confluence Proof

Non-Confluence Proof

by csi

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Non-Joinable Fork

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

t0 = h(f(a),a)
1.1 h(f(h(h(h(f(a),b),h(c,c)),f(b))),a)
= t1

t0 = h(f(a),a)
ε h(c,a)
= t1

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

Tool configuration

csi