Certificate for #2621 ⟨a, b | abbaab=abba⟩

Completion settings:

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

Axiom: abbaab=abba.

Referenced by [3].

Axiom: abba=c.

Defines rule #3.

Referenced by [3], [4], [5], [6].

Simplify [1] abbaab=abba.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbaab=c with [2] abba=c:

Critical pair: cab=c.

Defines rule #1.

Referenced by [6].

Overlap of [2] abba=c with [2] abba=c:

Critical pair: abbc=cbba.

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] cab=c with [2] abba=c:

Critical pair: cc=cba.

Flip LHS and RHS.

Defines rule #2.