SemiBase

A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[5660]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-8e4d9463d3c0b059 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. xyx ≈ yx²
  3. xyz ≈ yxz