Certificate for #3890 ⟨a, b | aaaaabbba=ba⟩

Completion settings:

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

Axiom: aaaaabbba=ba.

Referenced by [3].

Axiom: bbba=c.

Referenced by [3], [4].

Overlap of [1] aaaaabbba=ba with [2] bbba=c:

Critical pair: aaaaac=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] bbba=c with [3] ba=aaaaac:

Critical pair: bbaaaaac=c.

Reduce LHS:

Defines rule #1.

Referenced by [5].

Overlap of [3] ba=aaaaac with [4] aaaaacaaaacaaaac=c:

Critical pair: bc=aaaaacaaaacaaaacaaaac.

Reduce RHS:

Defines rule #3.