SemiBase

A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 14 semigroups of order six, all of which generate the variety V[2933]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-f29adfafc5092cc9 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xy² ≈ yx²
  3. x²yz ≈ xyz