SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[910]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-eb24c86f61f22584 in the data of the bases-min seal.

Certified for

The identities

  1. x²y ≈ xyx
  2. x²y ≈ yx²
  3. x⁴ ≈ x²y²
  4. x³y ≈ xy³
  5. xyz ≈ xzy
  6. xyz ≈ yxz
  7. x³y ≈ xyz²
  8. x²yztu ≈ yztu