Certificate for #5813 ⟨a, b | abaaab=aabaa⟩

Completion settings:

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

Axiom: abaaab=aabaa.

Referenced by [3].

Axiom: aabaa=c.

Defines rule #4.

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

Simplify [1] abaaab=aabaa.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

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

Critical pair: aabc=cbaa.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] abaaab=c with [2] aabaa=c:

Critical pair: abac=caa.

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] aabaa=c with [3] abaaab=c:

Critical pair: ac=cab.

Flip LHS and RHS.

Defines rule #1.