Certificate for #4757 ⟨a, b | abaaaaab=baa⟩

Completion settings:

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

Axiom: abaaaaab=baa.

Referenced by [3].

Axiom: abaaaa=c.

Defines rule #4.

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

Overlap of [1] abaaaaab=baa with [2] abaaaa=c:

Critical pair: cab=baa.

Defines rule #2.

Referenced by [5].

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

Critical pair: abaaac=cbaaaa.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] cab=baa with [2] abaaaa=c:

Critical pair: cc=baaaaaa.

Flip LHS and RHS.

Defines rule #5.

Referenced by [6].

Overlap of [2] abaaaa=c with [5] baaaaaa=cc:

Critical pair: acc=caa.

Flip LHS and RHS.

Defines rule #1.