Certificate for #16136 ⟨a, b | aab=aa, bbab=bb⟩

Back:⟨a, b | aab=aa, bbab=bb⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

[2] bbab=bb

Axiom: bbab=bb.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] aab=aa with [2] bbab=bb:

aa b bbab

Critical pair: aabb=aabab.

Reduce LHS:

[1](aab)b
[1]⇒ (aab)
⇒ aa

Reduce RHS:

[1](aab)ab
[1]⇒ a(aab)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.