Certificate for #2567 ⟨a, b | abaaab=abaa⟩

Completion settings:

• Auxiliary generators:
  1. c = abaa
• Reduction order:
  • Left-to-right shortlex with a < b < c

Axiom: abaaab=abaa.

Referenced by [3].

Axiom: abaa=c.

Defines rule #3.

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

Simplify [1] abaaab=abaa.

Reduce RHS:

Referenced by [4].

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

Critical pair: cab=c.

Defines rule #2.

Referenced by [6].

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

Critical pair: abac=cbaa.

Flip LHS and RHS.

Defines rule #4.

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

Critical pair: cc=caa.

Flip LHS and RHS.

Defines rule #1.