A certified basis of 8 identities
This list of identities is a basis, proved in Lean, of 7 semigroups of order six, all of which generate the variety V[8921]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-0d3c424f2eaf72ca in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³y ≈ xy
- xyx ≈ xyx³
- xyxy ≈ xy²x
- xyx²z ≈ xyz
- xyzxy ≈ xyzyx
- xyzxz ≈ xyz²x
- xyztxz ≈ xyztzx