SemiBase

A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[11916]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-a8add80a8628c470 in the data of the bases-min seal.

Certified for

The identities

  1. x ≈ x³
  2. x²y ≈ xy²xy
  3. x²yxy ≈ xyx²y
  4. x²y²x ≈ xyxyx
  5. xy²zy ≈ xzy
  6. xyzyz ≈ xzy²z
  7. x²yzxy ≈ xyxzxy