Certificate for #19562 ⟨a, b | aab=b, abbba=ba⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

Referenced by [3], [4].

Axiom: abbba=ba.

Referenced by [3].

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

Critical pair: aba=bbba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4], [5].

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

Critical pair: bbbb=abaab.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

Overlap of [4] bbbb=abb with [3] bbba=aba:

Critical pair: baba=abba.

Defines rule #2.

Overlap of [4] bbbb=abb with [4] bbbb=abb:

Critical pair: babb=abbb.

Defines rule #3.