Certificate for #1883 ⟨a, b | aaabaaab=ba⟩

Completion settings:

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

Axiom: aaabaaab=ba.

Referenced by [3].

Axiom: ba=c.

Defines rule #3.

Referenced by [3], [4], [5], [6].

Simplify [1] aaabaaab=ba.

Reduce RHS:

Referenced by [4].

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

Critical pair: aaacaab=c.

Defines rule #2.

Referenced by [5], [6].

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

Critical pair: bc=caacaab.

Defines rule #4.

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

Critical pair: aaacaac=ca.

Defines rule #1.