Certificate for #12508 ⟨a, b | abab=aa, babb=a⟩

Completion settings:

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

Axiom: abab=aa.

Defines rule #3.

Referenced by [4], [6].

Axiom: babb=a.

Defines rule #5.

Referenced by [3], [4].

Overlap of [2] babb=a with [2] babb=a:

Critical pair: baba=aabb.

Referenced by [5].

Overlap of [1] abab=aa with [2] babb=a:

Critical pair: aa=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [5], [6].

Simplify [3] baba=aabb.

Reduce RHS:

Defines rule #4.

Referenced by [6].

Overlap of [5] baba=aa with [1] abab=aa:

Critical pair: baa=aab.

Reduce RHS:

Defines rule #2.