Certificate for #4851 ⟨a, b | ababbbba=bba⟩

Completion settings:

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

Axiom: ababbbba=bba.

Referenced by [3].

Axiom: bbbba=c.

Referenced by [3], [4].

Overlap of [1] ababbbba=bba with [2] bbbba=c:

Critical pair: abac=bba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [5].

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

Critical pair: bbabac=c.

Reduce LHS:

Defines rule #3.

Referenced by [5].

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

Critical pair: bbc=abacbacbac.

Reduce RHS:

Defines rule #2.