Certificate for #16123 ⟨a, b | aab=aa, baba=ba⟩

Back:⟨a, b | aab=aa, baba=ba⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3].

[2] baba=ba

Axiom: baba=ba.

Defines rule #3.

Referenced by [3].

[3] aaaa=aaa

Overlap of [1] aab=aa with [2] baba=ba:

aa b baba

Critical pair: aaba=aaaba.

Reduce LHS:

[1](aab)a
⇒ aaa

Reduce RHS:

[1]a(aab)a
⇒ aaaa

Flip LHS and RHS.

Defines rule #2.