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[7184]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-036bafcb57a657e9 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²y ≈ xy
  3. xyx ≈ xyx²
  4. xyzx ≈ xzyx
  5. xyzy ≈ xzy²