Certificate for #22 ⟨a, b | ab=aa, bb=1⟩

Back:⟨a, b | ab=aa, bb=1⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bb=1

Axiom: bb=1.

Defines rule #2.

Referenced by [3].

[3] aaa=a

Overlap of [1] ab=aa with [2] bb=1:

a b bb

Critical pair: a=aab.

Reduce RHS:

[1]a(ab)
⇒ aaa

Flip LHS and RHS.

Defines rule #3.