NO Non-Confluence Proof

Non-Confluence Proof

by ACP

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Non-Joinable Fork

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

t0 = f(a)
1 f(c)
= t1

t0 = f(a)
ε b
= t1

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

Tool configuration

ACP