Certificate for #5360 ⟨a, b, c | ab=a, bbac=a⟩

Back:⟨a, b, c | ab=a, bbac=a⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] bbac=a

Axiom: bbac=a.

Defines rule #3.

Referenced by [3].

[3] aac=aa

Overlap of [1] ab=a with [2] bbac=a:

a b bbac

Critical pair: aa=abac.

Reduce RHS:

[1](ab)ac
⇒ aac

Flip LHS and RHS.

Defines rule #2.