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[5640]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-de669acb8030f610 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x²y ≈ xyx
  3. xy² ≈ xy³
  4. xyz ≈ xzy