Certificate for #7 ⟨a, b | aa=b, bb=1⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2].

[2] aaaa=1

Axiom: bb=1.

Reduce LHS:

[1](b)b
[1]aa(b)
aaaa

Defines rule #1.