Certificate for #1130 ⟨a, b | abbaab=aab⟩

Completion settings:

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

Axiom: abbaab=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

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

Simplify [1] abbaab=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbaab=c with [2] aab=c:

Critical pair: abbc=c.

Defines rule #2.

Referenced by [5].

Overlap of [2] aab=c with [4] abbc=c:

Critical pair: ac=cbc.

Defines rule #1.