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[3059]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-456f2adc57ef0a74 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²y ≈ xyx
  3. x²y ≈ yxy
  4. xyz ≈ xzy
  5. xyz ≈ xyz²