NO Non-Confluence Proof

Non-Confluence Proof

by csi

Input

The rewrite relation of the following TRS is considered.

a(a(x)) b(b(b(x)))
b(b(b(b(x)))) a(a(a(x)))

Proof

1 Non-Joinable Fork

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

t0 = a(a(a(x13)))
1 a(b(b(b(x13))))
= t1

t0 = a(a(a(x13)))
ε b(b(b(a(x13))))
= t1

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

Tool configuration

csi