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[14887]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-bd1960a957a6bf1b in the data of the bases-min seal.

Certified for

The identities

  1. x ≈ x³
  2. xyx²zx ≈ xyzx
  3. x²yzxty ≈ xyxzxty