Certificate for #19530 ⟨a, b | aab=b, aabba=ba⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #1.

Referenced by [2], [3].

[2] bba=ba

Axiom: aabba=ba.

Reduce LHS:

[1](aab)ba
⇒ bba

Defines rule #2.

Referenced by [3].

[3] bbb=bb

Overlap of [2] bba=ba with [1] aab=b:

bb a aab

Critical pair: bbb=baab.

Reduce RHS:

[1]b(aab)
⇒ bb

Defines rule #3.