Certificate for #2524 ⟨a, b | aabbaa=aabb⟩

Completion settings:

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

Axiom: aabbaa=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #3.

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

Simplify [1] aabbaa=aabb.

Reduce RHS:

Referenced by [4].

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

Critical pair: caa=c.

Defines rule #1.

Referenced by [5], [6].

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

Critical pair: cc=cbb.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: cac=cabb.

Flip LHS and RHS.

Defines rule #4.