SemiBase

A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[10955]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-74b40a3a53df33bc in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁴
  2. x²yx ≈ xyx²
  3. xyx ≈ xyx³
  4. xyx ≈ xy³x
  5. xyxy ≈ xy²x
  6. x²yzx ≈ xyxzx