Certificate for #260 ⟨a, b | abab=aab⟩

Completion settings:

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

Axiom: abab=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

Referenced by [3], [5].

Simplify [1] abab=aab.

Reduce RHS:

Defines rule #4.

Referenced by [4], [5].

Overlap of [3] abab=c with [3] abab=c:

Critical pair: abc=cab.

Defines rule #2.

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

Critical pair: ac=cab.

Defines rule #1.