Certificate for #3132 ⟨a, b | ab=a, bbbb=aa⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3], [4].

Axiom: bbbb=aa.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=a with [2] bbbb=aa:

Critical pair: aaa=abbb.

Reduce RHS:

Defines rule #3.

Referenced by [5].

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

Critical pair: baa=aab.

Reduce RHS:

Referenced by [5].

Overlap of [4] baa=aa with [3] aaa=a:

Critical pair: ba=aaa.

Reduce RHS:

Defines rule #2.