Certificate for #2559 ⟨a, b | aabbba=bbaa⟩

Completion settings:

• Auxiliary generators:
  1. c = bbba
• Reduction order:
  • Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1

Axiom: aabbba=bbaa.

Referenced by [3].

Axiom: bbba=c.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] aabbba=bbaa with [2] bbba=c:

Critical pair: aac=bbaa.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] bbba=c with [3] bbaa=aac:

Critical pair: baac=ca.

Defines rule #2.

Referenced by [5].

Overlap of [3] bbaa=aac with [4] baac=ca:

Critical pair: bca=aacc.

Defines rule #1.