Certificate for #13266 ⟨a, b | bab=baa, bba=aa⟩

Completion settings:

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

Axiom: bab=baa.

Defines rule #2.

Referenced by [3], [4].

Axiom: bba=aa.

Defines rule #3.

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

Overlap of [1] bab=baa with [2] bba=aa:

Critical pair: baaa=baaba.

Flip LHS and RHS.

Referenced by [6].

Overlap of [2] bba=aa with [1] bab=baa:

Critical pair: bbaa=aab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [5], [6].

Overlap of [4] aab=aaa with [2] bba=aa:

Critical pair: aaaa=aaaba.

Reduce RHS:

Flip LHS and RHS.

Defines rule #4.

Simplify [3] baaba=baaa.

Reduce LHS:

Defines rule #5.