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[14980]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-c8bd95c4867de9c4 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁵
  2. x²y ≈ xyx
  3. x²y² ≈ yx²y
  4. xyz ≈ xzy