Certificate for #430 ⟨a, b | aaabaa=ba⟩

Completion settings:

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

Axiom: aaabaa=ba.

Referenced by [3].

Axiom: ba=c.

Defines rule #4.

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

Simplify [1] aaabaa=ba.

Reduce RHS:

Referenced by [4].

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

Critical pair: aaaca=c.

Defines rule #2.

Referenced by [5], [6].

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

Critical pair: bc=caaca.

Defines rule #3.

Overlap of [4] aaaca=c with [4] aaaca=c:

Critical pair: aaacc=caaca.

Defines rule #1.