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[13654]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b10e0e4409e8f241 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx ≈ xyx²
  4. x²y² ≈ xyxy
  5. x²yz ≈ xyxz
  6. xy²z² ≈ xzy²z