SemiBase

A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[1118]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-dfae18cf4f4c0597 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ yx²
  3. x²y² ≈ xy²x
  4. x²yz ≈ xyxz