SemiBase

A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[5325]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-1edb36182fdf3321 in the data of the bases-min seal.

Certified for

The identities

  1. xyx ≈ yx²
  2. x⁵y ≈ xy
  3. x²y² ≈ xy²x
  4. xyz ≈ yxz