Certificate for #6688 ⟨a, b | aab=b, abba=ba⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

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

Axiom: abba=ba.

Referenced by [3], [4], [6].

Overlap of [1] aab=b with [2] abba=ba:

Critical pair: aba=bba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

Overlap of [2] abba=ba with [1] aab=b:

Critical pair: abbb=baab.

Reduce RHS:

Referenced by [7].

Overlap of [3] bba=aba with [1] aab=b:

Critical pair: bbb=abaab.

Reduce RHS:

Defines rule #3.

Referenced by [6], [7].

Overlap of [5] bbb=abb with [3] bba=aba:

Critical pair: baba=abba.

Reduce RHS:

Defines rule #4.

Overlap of [5] bbb=abb with [5] bbb=abb:

Critical pair: babb=abbb.

Reduce RHS:

Defines rule #5.