Certificate for #1860 ⟨a, b | aaaababa=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: aaaababa=ba.

Referenced by [3].

Axiom: ba=c.

Defines rule #2.

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

Simplify [1] aaaababa=ba.

Reduce RHS:

Referenced by [4].

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

Critical pair: aaaacba=c.

Reduce LHS:

Defines rule #1.

Referenced by [5].

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

Critical pair: bc=caaacc.

Defines rule #3.