Certificate for #4108 ⟨a, b | aababaaab=aa⟩

Completion settings:

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

Axiom: aababaaab=aa.

Referenced by [3].

Axiom: aabab=c.

Defines rule #4.

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

Overlap of [1] aababaaab=aa with [2] aabab=c:

Critical pair: caaab=aa.

Referenced by [4], [6].

Overlap of [3] caaab=aa with [2] aabab=c:

Critical pair: cac=aaab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] aaab=cac with [2] aabab=c:

Critical pair: ac=cacab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

Overlap of [3] caaab=aa with [4] aaab=cac:

Critical pair: ccac=aa.

Defines rule #1.

Referenced by [7], [8].

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

Critical pair: ccaac=aaacab.

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.