Certificate for #7705 ⟨a, b, c | aa=1, cbc=bcb⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Axiom: cbc=bcb.

Referenced by [4].

Axiom: cb=d.

Defines rule #2.

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

Simplify [2] cbc=bcb.

Reduce RHS:

Referenced by [5].

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

Critical pair: dc=bd.

Defines rule #3.

Referenced by [6].

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

Critical pair: dd=bdb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [3] cb=d with [6] bdb=dd:

Critical pair: cdd=ddb.

Flip LHS and RHS.

Defines rule #5.