SemiBase

A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[1040]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-583a1af4ccab70da in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ yxy
  3. x²yx ≈ yxy
  4. xyzx ≈ yzxy
  5. xyzx ≈ zyxz
  6. xyzy ≈ xzy²
  7. xy²zt ≈ xyzt