Certificate for #1010 ⟨a, b | ab=a, baa=ba⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: baa=ba.

Defines rule #3.

Referenced by [3].

Overlap of [1] ab=a with [2] baa=ba:

Critical pair: aba=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.