Certificate for #20832 ⟨a, b | ab=aa, bbbaa=aa⟩

Back:⟨a, b | ab=aa, bbbaa=aa⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bbbaa=aa

Axiom: bbbaa=aa.

Defines rule #2.

Referenced by [3].

[3] aaaaaa=aaa

Overlap of [1] ab=aa with [2] bbbaa=aa:

a b bbbaa

Critical pair: aaa=aabbaa.

Reduce RHS:

[1]a(ab)baa
[1]⇒ aa(ab)aa
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #3.