Certificate for #7227 ⟨a, b, c | aa=1, bacb=cb⟩

Completion settings:

• Auxiliary generators:
  1. d = cb
• Reduction order:
  • Left-to-right recursive path with deg(a) = deg(b) = deg(d) = 0, a < b < d; deg(c) = 1

Axiom: aa=1.

Defines rule #1.

Axiom: bacb=cb.

Referenced by [4].

Axiom: cb=d.

Defines rule #3.

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

Simplify [2] bacb=cb.

Reduce RHS:

Referenced by [5].

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

Critical pair: bad=d.

Defines rule #2.

Referenced by [6].

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

Critical pair: cd=dad.

Defines rule #4.