SemiBase

A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[5548]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-82c67997a8a4d3a8 in the data of the bases-min seal.

Certified for

The identities

  1. xyx ≈ yxy
  2. x³y ≈ x²y
  3. xyx ≈ xyxy
  4. xy² ≈ xy³