Certificate for #6722 ⟨a, b | aab=b, bbbb=aa⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

Referenced by [3], [4].

Axiom: bbbb=aa.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] aab=b with [2] bbbb=aa:

Critical pair: aaaa=bbbb.

Reduce RHS:

Defines rule #3.

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

Critical pair: baa=aab.

Reduce RHS:

Defines rule #2.