Certificate for #16498 ⟨a, b | aab=aa, bbb=aab⟩

Back:⟨a, b | aab=aa, bbb=aab⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [2], [3], [4].

[2] bbb=aa

Axiom: bbb=aab.

Reduce RHS:

[1](aab)
⇒ aa

Defines rule #3.

Referenced by [3], [4].

[3] aaaa=aa

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

aa b bbb

Critical pair: aaaa=aabb.

Reduce RHS:

[1](aab)b
[1]⇒ (aab)
⇒ aa

Defines rule #4.

[4] baa=aa

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

b bb bbb

Critical pair: baa=aab.

Reduce RHS:

[1](aab)
⇒ aa

Defines rule #2.