Certificate for #6409 ⟨a, b | aab=b, abbab=b⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

Referenced by [3], [5].

Axiom: abbab=b.

Referenced by [3], [4].

Overlap of [1] aab=b with [2] abbab=b:

Critical pair: ab=bbab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] abbab=b with [2] abbab=b:

Critical pair: abbb=bbab.

Reduce RHS:

Referenced by [5].

Overlap of [1] aab=b with [4] abbb=ab:

Critical pair: aab=bbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.