Certificate for #5379 ⟨a, b | aab=ab, abb=ba⟩

Back:⟨a, b | aab=ab, abb=ba⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Defines rule #3.

Referenced by [3].

[2] ba=abb

Axiom: abb=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] abbbbb=abbb

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

b a aab

Critical pair: bab=abbab.

Reduce LHS:

[2](ba)b
⇒ abbb

Reduce RHS:

[2]ab(ba)b
[2]⇒ a(ba)bbb
[1]⇒ (aab)bbbb
⇒ abbbbb

Flip LHS and RHS.

Defines rule #1.