Certificate for #12607 ⟨a, b | abbb=aa, bbbb=b⟩

Back:⟨a, b | abbb=aa, bbbb=b⟩

Completion settings:

[1] aa=abbb

Axiom: abbb=aa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbbb=b

Axiom: bbbb=b.

Defines rule #1.

Referenced by [3].

[3] abbba=abbb

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

a a aa

Critical pair: aabbb=abbba.

Reduce LHS:

[1](aa)bbb
[2]⇒ a(bbbb)bb
⇒ abbb

Flip LHS and RHS.

Defines rule #3.