Certificate for #402 ⟨a, b | ababaab=b⟩

Completion settings:

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

Axiom: ababaab=b.

Referenced by [3].

Axiom: ab=c.

Referenced by [3], [4].

Overlap of [1] ababaab=b with [2] ab=c:

Critical pair: cabaab=b.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] ab=c with [3] b=ccac:

Critical pair: accac=c.

Defines rule #2.

Referenced by [5].

Overlap of [4] accac=c with [4] accac=c:

Critical pair: accc=ccac.

Defines rule #1.