NO Non-Confluence Proof

Non-Confluence Proof

by csi

Input

The rewrite relation of the following TRS is considered.

f(g(f(x))) g(f(g(x)))
f(c) c
g(c) c

Proof

1 Non-Joinable Fork

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

t0 = f(g(f(g(f(f3)))))
1.1 f(g(g(f(g(f3)))))
= t1

t0 = f(g(f(g(f(f3)))))
ε g(f(g(g(f(f3)))))
= t1

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

Tool configuration

csi