SemiBase

A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[5527]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-391c913997078242 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. xyx ≈ xy²
  3. x³y ≈ x²y
  4. x²yx ≈ xyx
  5. x²yz ≈ xyz
  6. xyxz ≈ xyz