Certificate for #2561 ⟨a, b | aabbba=bbba⟩

Completion settings:

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

Axiom: aabbba=bbba.

Referenced by [3].

Axiom: bbba=c.

Defines rule #2.

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

Simplify [1] aabbba=bbba.

Reduce RHS:

Referenced by [4].

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

Critical pair: aac=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: bbbc=cac.

Defines rule #3.