Certificate for #5958 ⟨a, b, c | ab=a, cbc=cb⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Axiom: cbc=cb.

Referenced by [4].

Axiom: cb=d.

Defines rule #4.

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

Simplify [2] cbc=cb.

Reduce RHS:

Referenced by [5].

Overlap of [4] cbc=d with [3] cb=d:

Critical pair: dc=d.

Defines rule #3.

Referenced by [6].

Overlap of [5] dc=d with [3] cb=d:

Critical pair: dd=db.

Flip LHS and RHS.

Defines rule #2.