Certificate for #5956 ⟨a, b, c | ab=a, cbc=bc⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #2.

Referenced by [6].

Axiom: cbc=bc.

Referenced by [4].

Axiom: bc=d.

Defines rule #4.

Referenced by [4], [5], [6], [7].

Simplify [2] cbc=bc.

Reduce RHS:

Referenced by [5].

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

Critical pair: cd=d.

Defines rule #3.

Referenced by [7].

Overlap of [1] ab=a with [3] bc=d:

Critical pair: ad=ac.

Defines rule #1.

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

Critical pair: bd=dd.

Defines rule #5.