Certificate for #6661 ⟨a, b | aab=a, bbbb=bb⟩

Completion settings:

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

Axiom: aab=a.

Referenced by [3], [4], [5], [6].

Axiom: bbbb=bb.

Defines rule #3.

Referenced by [3].

Overlap of [1] aab=a with [2] bbbb=bb:

Critical pair: aabb=abbb.

Reduce LHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aab=a with [3] abbb=ab:

Critical pair: aab=abb.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aab=a with [4] abb=a:

Critical pair: aa=ab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [6].

Overlap of [1] aab=a with [5] ab=aa:

Critical pair: aaa=a.

Defines rule #2.