SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[7541]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-5c5883d7824432f3 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ xy²
  3. xyxz ≈ xyz
  4. x²yzx ≈ x²yzy
  5. x²yzx ≈ x²zyx