Certificate for #5215 ⟨a, b | aabbaab=baaa⟩

Completion settings:

• Reduction order:
  • Right-to-left shortlex with b < c < a
• Auxiliary generators:
  1. bbaab=c

Axiom: aabbaab=baaa.

Referenced by [3].

Axiom: bbaab=c.

Defines rule #2.

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

Overlap of [1] aabbaab=baaa with [2] bbaab=c:

Critical pair: aac=baaa.

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

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

Critical pair: bbaac=cbaab.

Defines rule #3.

Referenced by [6].

Overlap of [2] bbaab=c with [3] baaa=aac:

Critical pair: bbaaaac=caaa.

Reduce LHS:

Defines rule #4.

Referenced by [6], [7].

Overlap of [4] bbaac=cbaab with [5] baacac=caaa:

Critical pair: bcaaa=cbaabac.

Flip LHS and RHS.

Defines rule #5.

Referenced by [7], [8].

Overlap of [5] baacac=caaa with [6] cbaabac=bcaaa:

Critical pair: baacabcaaa=caaabaabac.

Defines rule #6.

Overlap of [6] cbaabac=bcaaa with [6] cbaabac=bcaaa:

Critical pair: cbaababcaaa=bcaaabaabac.

Defines rule #7.