Certificate for #6 ⟨a, b | aa=b, ab=1⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aaa=1

Axiom: ab=1.

Reduce LHS:

[1]a(b)
aaa

Defines rule #1.