Certificate for #12894 ⟨a, b | aab=aaa, abbb=a⟩

Back:⟨a, b | aab=aaa, abbb=a⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] abbb=a

Axiom: abbb=a.

Defines rule #2.

Referenced by [3].

[3] aaaaa=aa

Overlap of [1] aab=aaa with [2] abbb=a:

a ab abbb

Critical pair: aa=aaabb.

Reduce RHS:

[1]a(aab)b
[1]⇒ aa(aab)
⇒ aaaaa

Flip LHS and RHS.

Defines rule #3.