Certificate for #1663 ⟨a, b | aba=aa, bab=b⟩

Completion settings:

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

Axiom: aba=aa.

Defines rule #3.

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

Axiom: bab=b.

Defines rule #5.

Referenced by [3], [4].

Overlap of [1] aba=aa with [2] bab=b:

Critical pair: ab=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] bab=b with [1] aba=aa:

Critical pair: baa=ba.

Defines rule #4.

Overlap of [3] aab=ab with [1] aba=aa:

Critical pair: aaa=aba.

Reduce RHS:

Defines rule #1.