Certificate for #6740 ⟨a, b | aba=a, aabb=bb⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #2.

Referenced by [3].

Axiom: aabb=bb.

Referenced by [3], [4].

Overlap of [1] aba=a with [2] aabb=bb:

Critical pair: abbb=aabb.

Reduce RHS:

Referenced by [4], [5].

Overlap of [2] aabb=bb with [3] abbb=bb:

Critical pair: abb=bbb.

Defines rule #1.

Referenced by [5].

Overlap of [3] abbb=bb with [4] abb=bbb:

Critical pair: bbbb=bb.

Defines rule #3.