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[6723]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-4215513d94ee6c72 in the data of the bases-min seal.

Certified for

The identities

  1. xy ≈ xy²
  2. x²yz ≈ xyxz
  3. x²yz ≈ y²xz
  4. xyzy ≈ xzy²