Certificate for #4809 ⟨a, b | abaabbba=bba⟩

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: abaabbba=bba.

Referenced by [3].

Axiom: bbba=c.

Referenced by [3], [4].

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

Critical pair: abaac=bba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [5].

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

Critical pair: babaac=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [3] bba=abaac with [4] babaac=c:

Critical pair: bc=abaacbaac.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [4] babaac=c with [5] abaacbaac=bc:

Critical pair: bbc=cbaac.

Defines rule #2.