SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 9 semigroups of order six, all of which generate the variety V[1041]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-7d4bebae519a73f3 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ yx²
  3. x²y² ≈ xy²x
  4. xyzx ≈ xzyx
  5. xyzt ≈ yxzt