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[5368]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-1a1ee7f17e909095 in the data of the bases-min seal.

Certified for

The identities

  1. xy ≈ yx
  2. x³y ≈ x²y²
  3. x²yz ≈ xy²z
  4. xyztu ≈ xyztu²