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[3373]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-0a92402a2f2f2d37 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ xy²
  3. x²yx ≈ xyx
  4. x²yz ≈ xyz
  5. xyzx ≈ xyzx²
  6. xyzx ≈ xyzyx