SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[3368]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-2432aca206bb26d4 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ xy²
  3. x²yx ≈ xyx
  4. x²yz ≈ xyz
  5. xyzx ≈ xzyx