Certificate for #1243 ⟨a, b | abaab=abaa⟩

Completion settings:

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

Axiom: abaab=abaa.

Referenced by [3].

Axiom: abaa=c.

Defines rule #3.

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

Simplify [1] abaab=abaa.

Reduce RHS:

Referenced by [4].

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

Critical pair: cb=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: abac=cbaa.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.