SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[11550]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-33b2f46a5bb0b8d8 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁴
  2. xy ≈ xy³
  3. x²y ≈ x²yx²
  4. x⁴y ≈ x³yx
  5. xyxz ≈ xyxzx²