SemiBase

A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[14999]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-dda340a52bd57087 in the data of the bases-min seal.

Certified for

The identities

  1. xy ≈ yx
  2. x⁵ ≈ y⁵
  3. xy ≈ xyz⁵