Certificate for #509 ⟨a, b, c | ab=aa, bc=b⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bc=b

Axiom: bc=b.

Defines rule #2.

Referenced by [3].

[3] aac=aa

Overlap of [1] ab=aa with [2] bc=b:

a b bc

Critical pair: ab=aac.

Reduce LHS:

[1](ab)
⇒ aa

Flip LHS and RHS.

Defines rule #3.