Certificate for #530 ⟨a, b | aabba=aab⟩

Completion settings:

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

Axiom: aabba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #1.

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

Simplify [1] aabba=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabba=c with [2] aab=c:

Critical pair: cba=c.

Defines rule #2.

Referenced by [5].

Overlap of [4] cba=c with [2] aab=c:

Critical pair: cbc=cab.

Flip LHS and RHS.

Defines rule #3.