Certificate for #538 ⟨a, b | abaab=aab⟩

Completion settings:

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

Axiom: abaab=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #2.

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

Simplify [1] abaab=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaab=c with [2] aab=c:

Critical pair: abc=c.

Defines rule #3.

Referenced by [5].

Overlap of [2] aab=c with [4] abc=c:

Critical pair: ac=cc.

Defines rule #1.