Certificate for #13166 ⟨a, b | aba=aab, bab=aa⟩

Completion settings:

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

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

Axiom: bab=aa.

Defines rule #1.

Referenced by [3], [4].

Overlap of [2] bab=aa with [2] bab=aa:

Critical pair: baaa=aaab.

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] bab=aa with [3] abaa=baaa:

Critical pair: bbaaa=aaaa.

Defines rule #4.