SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[5549]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-1630bcc549c3859c in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. xyx ≈ yx²
  3. x³y ≈ x²y
  4. x²yx ≈ xyx
  5. x²y² ≈ xy²x