Certificate for #15597 ⟨a, b | aab=aa, bbaba=a⟩

Back:⟨a, b | aab=aa, bbaba=a⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3].

[2] bbaba=a

Axiom: bbaba=a.

Defines rule #3.

Referenced by [3].

[3] aaaa=aaa

Overlap of [1] aab=aa with [2] bbaba=a:

aa b bbaba

Critical pair: aaa=aababa.

Reduce RHS:

[1](aab)aba
[1]⇒ a(aab)a
⇒ aaaa

Flip LHS and RHS.

Defines rule #2.