SemiBase

A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 18 semigroups of order six, all of which generate the variety V[2796]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-c25cc7e5d49371f7 in the data of the bases-min seal.

Certified for

The identities

  1. xy ≈ yx
  2. x²y ≈ xy²
  3. x²yzt ≈ xyzt