Certificate for #16141 ⟨a, b | aab=aa, bbbb=aa⟩

Back:⟨a, b | aab=aa, bbbb=aa⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4].

[2] bbbb=aa

Axiom: bbbb=aa.

Defines rule #4.

Referenced by [3], [4].

[3] aaaa=aa

Overlap of [1] aab=aa with [2] bbbb=aa:

aa b bbbb

Critical pair: aaaa=aabbb.

Reduce RHS:

[1](aab)bb
[1]⇒ (aab)b
[1]⇒ (aab)
⇒ aa

Defines rule #3.

[4] baa=aa

Overlap of [2] bbbb=aa with [2] bbbb=aa:

b bbb bbbb

Critical pair: baa=aab.

Reduce RHS:

[1](aab)
⇒ aa

Defines rule #2.