SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[3806]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b63d29ac713e13e4 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx ≈ xyx²
  4. x²y² ≈ y²x²
  5. x²yz² ≈ zx²yz