Certificate for #2341 ⟨a, b | ababbba=bba⟩

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: ababbba=bba.

Referenced by [3].

Axiom: bbba=c.

Referenced by [3], [4].

Overlap of [1] ababbba=bba with [2] bbba=c:

Critical pair: abac=bba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [5].

Overlap of [2] bbba=c with [3] bba=abac:

Critical pair: babac=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [3] bba=abac with [4] babac=c:

Critical pair: bc=abacbac.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [4] babac=c with [5] abacbac=bc:

Critical pair: bbc=cbac.

Defines rule #2.