Certificate for #438 ⟨a, b | aaabba=ba⟩

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: aaabba=ba.

Referenced by [3].

Axiom: bba=c.

Referenced by [3], [4].

Overlap of [1] aaabba=ba with [2] bba=c:

Critical pair: aaac=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] bba=c with [3] ba=aaac:

Critical pair: baaac=c.

Reduce LHS:

Defines rule #1.

Referenced by [5].

Overlap of [3] ba=aaac with [4] aaacaac=c:

Critical pair: bc=aaacaacaac.

Reduce RHS:

Defines rule #3.