Certificate for #5854 ⟨a, b, c | ab=a, bac=ba⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bac=ba

Axiom: bac=ba.

Defines rule #3.

Referenced by [3].

[3] aac=aa

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

a b bac

Critical pair: aba=aac.

Reduce LHS:

[1](ab)a
⇒ aa

Flip LHS and RHS.

Defines rule #2.