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[5496]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-f78cc172074b3872 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ xy²
  2. x²y ≈ xyx
  3. x⁴y ≈ x²y
  4. xyz ≈ xzy
  5. x³yz ≈ xyz