Certificate for #4754 ⟨a, b | abaaaaab=aab⟩

Completion settings:

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

Axiom: abaaaaab=aab.

Referenced by [3].

Axiom: aaaaab=c.

Referenced by [3], [4].

Overlap of [1] abaaaaab=aab with [2] aaaaab=c:

Critical pair: abc=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] aaaaab=c with [3] aab=abc:

Critical pair: aaaabc=c.

Reduce LHS:

Defines rule #3.

Referenced by [5].

Overlap of [3] aab=abc with [4] abcccc=c:

Critical pair: ac=abccccc.

Reduce RHS:

Defines rule #1.