Certificate for #5895 ⟨a, b, c | ab=a, bcb=cb⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Axiom: bcb=cb.

Referenced by [4].

Axiom: cb=d.

Defines rule #3.

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

Simplify [2] bcb=cb.

Reduce RHS:

Referenced by [5].

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

Critical pair: bd=d.

Defines rule #2.

Referenced by [6].

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

Critical pair: cd=dd.

Defines rule #4.