Certificate for #1433 ⟨a, b, c | aa=1, bcb=bc⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Axiom: bcb=bc.

Referenced by [4].

Axiom: bc=d.

Defines rule #4.

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

Simplify [2] bcb=bc.

Reduce RHS:

Referenced by [5].

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

Critical pair: db=d.

Defines rule #3.

Referenced by [6].

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

Critical pair: dd=dc.

Flip LHS and RHS.

Defines rule #2.