Certificate for #586 ⟨a, b | baab=aaba⟩

Completion settings:

• Auxiliary generators:
  1. c = aaba
• Reduction order:
  • Left-to-right shortlex with c < a < b

Axiom: baab=aaba.

Referenced by [3].

Axiom: aaba=c.

Defines rule #3.

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

Simplify [1] baab=aaba.

Reduce RHS:

Defines rule #4.

Referenced by [4], [5].

Overlap of [3] baab=c with [2] aaba=c:

Critical pair: bc=ca.

Defines rule #1.

Overlap of [2] aaba=c with [3] baab=c:

Critical pair: aac=cab.

Defines rule #2.