Certificate for #5242 ⟨a, b | aabbbaa=aabb⟩

Completion settings:

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

Axiom: aabbbaa=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #4.

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

Simplify [1] aabbbaa=aabb.

Reduce RHS:

Referenced by [4].

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

Critical pair: cbaa=c.

Defines rule #2.

Referenced by [5], [6].

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

Critical pair: cbc=cbb.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: cbac=cabb.

Flip LHS and RHS.

Defines rule #3.