Certificate for #5926 ⟨a, b, c | ab=a, cac=ac⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #4.

Axiom: cac=ac.

Referenced by [4].

Axiom: ac=d.

Defines rule #2.

Referenced by [4], [5], [6].

Simplify [2] cac=ac.

Reduce RHS:

Referenced by [5].

Overlap of [4] cac=d with [3] ac=d:

Critical pair: cd=d.

Defines rule #1.

Referenced by [6].

Overlap of [3] ac=d with [5] cd=d:

Critical pair: ad=dd.

Defines rule #3.