Certificate for #6682 ⟨a, b | aab=b, abab=aa⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

Referenced by [3], [4].

Axiom: abab=aa.

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

Overlap of [1] aab=b with [2] abab=aa:

Critical pair: aaa=bab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [3] bab=aaa with [2] abab=aa:

Critical pair: baa=aaaab.

Reduce RHS:

Defines rule #2.

Referenced by [5].

Overlap of [2] abab=aa with [4] baa=b:

Critical pair: abab=aaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.