Certificate for #3360 ⟨a, b, c | ab=aa, cbc=a⟩

Back:⟨a, b, c | ab=aa, cbc=a⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] cbc=a

Axiom: cbc=a.

Defines rule #2.

Referenced by [3].

[3] aac=cba

Overlap of [2] cbc=a with [2] cbc=a:

cb c cbc

Critical pair: cba=abc.

Reduce RHS:

[1](ab)c
⇒ aac

Flip LHS and RHS.

Defines rule #3.