A certified basis of 7 identities
This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[12185]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-b14aa2d8bee57d55 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²y ≈ xy
- xyx ≈ xyx²
- xyxzx ≈ xyzx
- xyxzy ≈ xyzy
- xyzyz ≈ xyz²
- xyxz² ≈ xyzxz