Certificate for #13174 ⟨a, b | aba=aab, bbb=aa⟩

Completion settings:

[1] aba=aab

Axiom: aba=aab.

Defines rule #1.

Referenced by [4].

[2] bbb=aa

Axiom: bbb=aa.

Defines rule #3.

Referenced by [3].

[3] baa=aab

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

b bb bbb

Critical pair: baa=aab.

Defines rule #2.

[4] aabba=aaabb

Overlap of [1] aba=aab with [1] aba=aab:

ab a aba

Critical pair: abaab=aabba.

Reduce LHS:

[1](aba)ab
[1]⇒ a(aba)b
⇒ aaabb

Flip LHS and RHS.

Defines rule #4.