SemiBase

A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[5540]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-c940c154094354c9 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x²y ≈ xy²
  3. xyx ≈ yx²
  4. xy² ≈ xy³
  5. xyz ≈ yxz
  6. xyz ≈ xyz²