Certificate for #2251 ⟨a, b | aababba=bba⟩

Completion settings:

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

Axiom: aababba=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #2.

Referenced by [3], [4], [5].

Simplify [1] aababba=bba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aababba=c with [2] bba=c:

Critical pair: aabac=c.

Defines rule #1.

Referenced by [5].

Overlap of [2] bba=c with [4] aabac=c:

Critical pair: bbc=cabac.

Defines rule #3.