Certificate for #1828 ⟨a, b | aaaaaaba=ba⟩

Completion settings:

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

Axiom: aaaaaaba=ba.

Referenced by [3].

Axiom: ba=c.

Defines rule #2.

Referenced by [3], [4], [5].

Simplify [1] aaaaaaba=ba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaaaaaba=c with [2] ba=c:

Critical pair: aaaaaac=c.

Defines rule #1.

Referenced by [5].

Overlap of [2] ba=c with [4] aaaaaac=c:

Critical pair: bc=caaaaac.

Defines rule #3.