Certificate for #5385 ⟨a, b | aab=ab, bab=ba⟩

Back:⟨a, b | aab=ab, bab=ba⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Defines rule #1.

Referenced by [3].

[2] bab=ba

Axiom: bab=ba.

Defines rule #3.

Referenced by [3].

[3] baa=ba

Overlap of [2] bab=ba with [2] bab=ba:

ba b bab

Critical pair: baba=baab.

Reduce LHS:

[2](bab)a
⇒ baa

Reduce RHS:

[1]b(aab)
[2]⇒ (bab)
⇒ ba

Defines rule #2.