SemiBase

A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[2638]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-46ba9477e49530cb in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. xyx ≈ xy²
  3. xyx ≈ yx²
  4. x³y ≈ x²y
  5. x²yx ≈ xyx
  6. x²yz ≈ xyz