Certificate for #1226 ⟨a, b | aabba=aabb⟩

Completion settings:

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

Axiom: aabba=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #3.

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

Simplify [1] aabba=aabb.

Reduce RHS:

Referenced by [4].

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

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

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

Critical pair: cc=cabb.

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.