Certificate for #5915 ⟨a, b | abbaab=aabba⟩

Completion settings:

• Auxiliary generators:
  1. c = aabba
• Reduction order:
  • Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1

Axiom: abbaab=aabba.

Referenced by [3].

Axiom: aabba=c.

Defines rule #4.

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

Simplify [1] abbaab=aabba.

Reduce RHS:

Defines rule #5.

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

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

Critical pair: abbc=cba.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: ac=cab.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: aabbc=cbbaab.

Flip LHS and RHS.

Defines rule #3.