Certificate for #5379 ⟨a, b | ababbba=bbba⟩

Completion settings:

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

Axiom: ababbba=bbba.

Referenced by [3].

Axiom: bbba=c.

Defines rule #2.

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

Simplify [1] ababbba=bbba.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababbba=c with [2] bbba=c:

Critical pair: abac=c.

Defines rule #1.

Referenced by [5].

Overlap of [2] bbba=c with [4] abac=c:

Critical pair: bbbc=cbac.

Defines rule #3.