Certificate for #3329 ⟨a, b, c | ab=aa, bac=b⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] bac=b

Axiom: bac=b.

Defines rule #2.

Referenced by [3].

[3] aaac=aa

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

a b bac

Critical pair: ab=aaac.

Reduce LHS:

[1](ab)
⇒ aa

Flip LHS and RHS.

Defines rule #3.