Certificate for #12563 ⟨a, b | abba=aa, babb=b⟩

Completion settings:

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

Axiom: abba=aa.

Defines rule #4.

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

Axiom: babb=b.

Defines rule #5.

Referenced by [3], [4].

Overlap of [1] abba=aa with [2] babb=b:

Critical pair: abb=aabb.

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] babb=b with [1] abba=aa:

Critical pair: baa=ba.

Defines rule #2.

Referenced by [5].

Overlap of [1] abba=aa with [4] baa=ba:

Critical pair: abba=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.