SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[13752]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-2edb62db3426986e in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xy ≈ xy²
  3. x²yxz ≈ x²yz
  4. xyxyz ≈ xyxz
  5. xyzx ≈ xyzyx