Certificate for #2598 ⟨a, b | ababab=bbaa⟩

Completion settings:

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

Axiom: ababab=bbaa.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

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

Overlap of [1] ababab=bbaa with [2] ab=c:

Critical pair: cabab=bbaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [4], [5].

Overlap of [2] ab=c with [3] bbaa=ccc:

Critical pair: accc=cbaa.

Flip LHS and RHS.

Defines rule #5.

Overlap of [3] bbaa=ccc with [2] ab=c:

Critical pair: bbac=cccb.

Defines rule #2.

Referenced by [6].

Overlap of [2] ab=c with [5] bbac=cccb:

Critical pair: acccb=cbac.

Flip LHS and RHS.

Defines rule #3.