SemiBase

A certified basis of 5 identities

This list of identities is a basis, proved in Lean, of 2,147 semigroups of order six, all of which generate the variety V[239]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-19914390b092baa4 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x²y
  2. x³ ≈ xyx
  3. x³ ≈ xy²
  4. x³ ≈ yx²
  5. x³ ≈ xyz