A certified basis of 8 identities
This list of identities is a basis, proved in Lean, of 11 semigroups of order six, all of which generate the variety V[7577]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-a7af5200f2bc0d29 in the data of the bases-min seal.
Certified for
[6, 7577] [6, 7612] [6, 8242] [6, 8246] [6, 11197] [6, 13335] [6, 13336] [6, 13338] [6, 13339] [6, 13372] [6, 13373]
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- xyx ≈ xyxy
- xyx ≈ xy²x
- xyzx ≈ xzyx
- xyzx ≈ xyzxz
- xyzx ≈ xyz²x