SemiBase

A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[6886]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-0a4affdbdc2a4206 in the data of the bases-min seal.

Certified for

The identities

  1. x³y ≈ xy
  2. xy ≈ xy³
  3. xy ≈ xyxyxy
  4. xyz ≈ yxz