SemiBase

A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[3811]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b89337def67a3058 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²y ≈ xyx
  3. x²y ≈ x²y²
  4. xyz ≈ xyz²