SemiBase

A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[2611]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-ee387bc669a1b4bc in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x²y ≈ xyx
  3. x²y ≈ yxy
  4. xyx ≈ xyx²
  5. xy² ≈ xy³
  6. xyz ≈ xzy
  7. xyz ≈ xyz²