Certificate for #12339 ⟨a, b | aaba=aa, baab=b⟩

Completion settings:

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

Axiom: aaba=aa.

Defines rule #4.

Referenced by [3], [4].

Axiom: baab=b.

Referenced by [3], [5].

Overlap of [2] baab=b with [1] aaba=aa:

Critical pair: baa=ba.

Defines rule #2.

Referenced by [4], [5].

Overlap of [1] aaba=aa with [3] baa=ba:

Critical pair: aaba=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] baab=b with [3] baa=ba:

Critical pair: bab=b.

Defines rule #3.