SemiBase

A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 5 semigroups of order six, all of which generate the variety V[5680]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-bb7e3d19c3317d14 in the data of the bases-min seal.

Certified for

The identities

  1. x²y ≈ xyx
  2. x²y ≈ xy²
  3. xyz ≈ xzy
  4. x²yzt ≈ xyzt