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[2583]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-44205809da96484a in the data of the bases-min seal.

Certified for

The identities

  1. xy ≈ yx
  2. x³y ≈ xy³
  3. x⁵ ≈ x³y²
  4. x⁵ ≈ xy²z²
  5. x²yzt ≈ yzt³
  6. xyztu ≈ xyztu³