Certificate for #4677 ⟨a, b | aababbba=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: aababbba=bba.

Referenced by [3].

Axiom: bbba=c.

Referenced by [3], [4].

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

Critical pair: aabac=bba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [5].

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

Critical pair: baabac=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [3] bba=aabac with [4] baabac=c:

Critical pair: bc=aabacabac.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [4] baabac=c with [5] aabacabac=bc:

Critical pair: bbc=cabac.

Defines rule #2.