Certificate for #5213 ⟨a, b | aabbaab=abba⟩

Completion settings:

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

Axiom: aabbaab=abba.

Referenced by [3].

Axiom: abba=c.

Defines rule #2.

Referenced by [3], [4], [5], [6], [7].

Simplify [1] aabbaab=abba.

Reduce RHS:

Referenced by [4].

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

Critical pair: acab=c.

Defines rule #3.

Referenced by [6], [7].

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

Critical pair: abbc=cbba.

Flip LHS and RHS.

Defines rule #4.

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

Critical pair: abbc=ccab.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: acc=cba.

Flip LHS and RHS.

Defines rule #1.