Certificate for #5108 ⟨a, b | aaabbba=abbb⟩

Completion settings:

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

Axiom: aaabbba=abbb.

Referenced by [3].

Axiom: abbb=c.

Defines rule #4.

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

Simplify [1] aaabbba=abbb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabbba=c with [2] abbb=c:

Critical pair: aaca=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] aaca=c with [4] aaca=c:

Critical pair: aacc=caca.

Defines rule #2.

Referenced by [6].

Overlap of [4] aaca=c with [2] abbb=c:

Critical pair: aacc=cbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.