SemiBase

A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[3371]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-e95bdff8a09cfd6a in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ yx²
  3. x²y² ≈ xy²
  4. x²yz ≈ xyz
  5. xyxz ≈ xy²z
  6. xyz² ≈ yxz²