Certificate for #5873 ⟨a, b, c | ab=a, bbc=ba⟩

Back:⟨a, b, c | ab=a, bbc=ba⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbc=ba

Axiom: bbc=ba.

Defines rule #3.

Referenced by [3].

[3] ac=aa

Overlap of [1] ab=a with [2] bbc=ba:

a b bbc

Critical pair: aba=abc.

Reduce LHS:

[1](ab)a
⇒ aa

Reduce RHS:

[1](ab)c
⇒ ac

Flip LHS and RHS.

Defines rule #2.