Certificate for #221 ⟨a, b | aabba=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: aabba=ba.

Referenced by [3].

Axiom: bba=c.

Referenced by [3], [4].

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

Critical pair: aac=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4], [5].

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

Critical pair: baac=c.

Reduce LHS:

Defines rule #1.

Referenced by [5].

Overlap of [3] ba=aac with [4] aacac=c:

Critical pair: bc=aacacac.

Reduce RHS:

Defines rule #3.