Certificate for #12908 ⟨a, b | aab=aaa, bbba=a⟩

Back:⟨a, b | aab=aaa, bbba=a⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bbba=a

Axiom: bbba=a.

Defines rule #2.

Referenced by [3].

[3] aaaaaa=aaa

Overlap of [1] aab=aaa with [2] bbba=a:

aa b bbba

Critical pair: aaa=aaabba.

Reduce RHS:

[1]a(aab)ba
[1]⇒ aa(aab)a
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #3.