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[12764]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-3f6648a088babbdb in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx ≈ xyx²
  4. xyx ≈ yxyx
  5. xyxzx ≈ xyzx