Certificate for #5210 ⟨a, b | aabbaab=aabb⟩

Completion settings:

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

Axiom: aabbaab=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #2.

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

Simplify [1] aabbaab=aabb.

Reduce RHS:

Referenced by [4].

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

Critical pair: caab=c.

Defines rule #3.

Referenced by [5].

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

Critical pair: cc=cb.

Flip LHS and RHS.

Defines rule #1.