Certificate for #5226 ⟨a, b | aabbaba=aabb⟩

Completion settings:

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

Axiom: aabbaba=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #1.

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

Simplify [1] aabbaba=aabb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabbaba=c with [2] aabb=c:

Critical pair: caba=c.

Defines rule #2.

Referenced by [5].

Overlap of [4] caba=c with [2] aabb=c:

Critical pair: cabc=cabb.

Flip LHS and RHS.

Defines rule #3.