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[5765]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-f99a5725d277915e in the data of the bases-min seal.

Certified for

The identities

  1. xy ≈ yx
  2. x⁴ ≈ xy³
  3. x⁵y² ≈ x²y²
  4. x⁵yz ≈ x²yz
  5. xyzt ≈ xyzt⁴