Certificate for #479 ⟨a, b | abbaab=aa⟩

Completion settings:

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

Axiom: abbaab=aa.

Referenced by [3].

Axiom: abb=c.

Defines rule #1.

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

Overlap of [1] abbaab=aa with [2] abb=c:

Critical pair: caab=aa.

Referenced by [4], [6].

Overlap of [3] caab=aa with [2] abb=c:

Critical pair: cac=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] aab=cac with [2] abb=c:

Critical pair: ac=cacb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [3] caab=aa with [4] aab=cac:

Critical pair: ccac=aa.

Defines rule #3.

Referenced by [7], [8].

Overlap of [6] ccac=aa with [5] cacb=ac:

Critical pair: ccaac=aaacb.

Flip LHS and RHS.

Defines rule #6.

Overlap of [6] ccac=aa with [6] ccac=aa:

Critical pair: ccaaa=aacac.

Flip LHS and RHS.

Defines rule #5.