Certificate for #1687 ⟨a, b | abb=aa, bbb=b⟩

Back:⟨a, b | abb=aa, bbb=b⟩

Completion settings:

[1] aa=abb

Axiom: abb=aa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbb=b

Axiom: bbb=b.

Defines rule #1.

Referenced by [3].

[3] abba=abb

Overlap of [1] aa=abb with [1] aa=abb:

a a aa

Critical pair: aabb=abba.

Reduce LHS:

[1](aa)bb
[2]⇒ a(bbb)b
⇒ abb

Flip LHS and RHS.

Defines rule #3.