SemiBase

A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[5747]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-031bc5b8519d6eb1 in the data of the bases-min seal.

Certified for

The identities

  1. x³y ≈ xy³
  2. x²yx ≈ yx³
  3. xyxy ≈ yx²y
  4. xyz ≈ xyz³