Certificate for #5285 ⟨a, b | abaaaab=abaa⟩

Completion settings:

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

Axiom: abaaaab=abaa.

Referenced by [3].

Axiom: abaa=c.

Defines rule #4.

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

Simplify [1] abaaaab=abaa.

Reduce RHS:

Referenced by [4].

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

Critical pair: caab=c.

Referenced by [6], [7].

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

Critical pair: abac=cbaa.

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] caab=c with [2] abaa=c:

Critical pair: cac=caa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [4] caab=c with [6] caa=cac:

Critical pair: cacb=c.

Defines rule #1.