SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[2802]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-224a6c88f472cfe3 in the data of the bases-min seal.

Certified for

The identities

  1. x⁴ ≈ x⁵
  2. xy ≈ yx
  3. x⁴y ≈ x³y
  4. x³y² ≈ x²y²
  5. x³yz ≈ x²yz