Certificate for #16207 ⟨a, b | aab=ab, bbbb=ba⟩

Back:⟨a, b | aab=ab, bbbb=ba⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Defines rule #3.

Referenced by [3].

[2] ba=bbbb

Axiom: bbbb=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] bbbbbbbb=bbbbb

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

b a aab

Critical pair: bab=bbbbab.

Reduce LHS:

[2](ba)b
⇒ bbbbb

Reduce RHS:

[2]bbb(ba)b
⇒ bbbbbbbb

Flip LHS and RHS.

Defines rule #1.