Certificate for #5654 ⟨a, b | aabaab=abaab⟩

Completion settings:

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

Axiom: aabaab=abaab.

Referenced by [3].

Axiom: abaab=c.

Defines rule #3.

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

Simplify [1] aabaab=abaab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabaab=c with [2] abaab=c:

Critical pair: ac=c.

Defines rule #1.

Referenced by [5].

Overlap of [2] abaab=c with [2] abaab=c:

Critical pair: abac=caab.

Reduce LHS:

Defines rule #2.