Certificate for #15958 ⟨a, b | aaa=aa, aabb=ba⟩

Completion settings:

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

Axiom: aaa=aa.

Defines rule #1.

Referenced by [3].

Axiom: aabb=ba.

Defines rule #4.

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

Overlap of [1] aaa=aa with [2] aabb=ba:

Critical pair: aba=aabb.

Reduce RHS:

Defines rule #2.

Referenced by [4].

Overlap of [3] aba=ba with [2] aabb=ba:

Critical pair: abba=baabb.

Reduce RHS:

Referenced by [5].

Overlap of [2] aabb=ba with [4] abba=bba:

Critical pair: abba=baa.

Reduce LHS:

Defines rule #3.