Certificate for #13199 ⟨a, b | abb=aab, bab=ab⟩

Back:⟨a, b | abb=aab, bab=ab⟩

Completion settings:

[1] aab=abb

Axiom: abb=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bab=ab

Axiom: bab=ab.

Defines rule #1.

Referenced by [3].

[3] abbb=abb

Overlap of [1] aab=abb with [2] bab=ab:

aa b bab

Critical pair: aaab=abbab.

Reduce LHS:

[1]a(aab)
[1]⇒ (aab)b
⇒ abbb

Reduce RHS:

[2]ab(bab)
[2]⇒ a(bab)
[1]⇒ (aab)
⇒ abb

Defines rule #3.