Certificate for #16173 ⟨a, b | aab=ab, abbb=aa

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Defines rule #2.

Referenced by [3].

[2] abbb=aa

Axiom: abbb=aa.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] aab=ab with [2] abbb=aa:

a ab abbb

Critical pair: aaa=abbb.

Reduce RHS:

[2](abbb)
aa

Defines rule #1.