Certificate for #6624 ⟨a, b | aab=a, abba=ba⟩

Completion settings:

• Auxiliary generators:
  1. c = bba
• Reduction order:
  • Left-to-right shortlex with c < b < a

Axiom: aab=a.

Defines rule #5.

Referenced by [6].

Axiom: abba=ba.

Referenced by [4].

Axiom: bba=c.

Defines rule #4.

Referenced by [4], [5], [6].

Overlap of [2] abba=ba with [3] bba=c:

Critical pair: ac=ba.

Defines rule #2.

Referenced by [5].

Overlap of [3] bba=c with [4] ac=ba:

Critical pair: bbba=cc.

Reduce LHS:

Defines rule #1.

Overlap of [3] bba=c with [1] aab=a:

Critical pair: bba=cab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.