A certified basis of 7 identities
This list of identities is a basis, proved in Lean, of 5 semigroups of order six, all of which generate the variety V[13357]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-54a1bf5b82f45d72 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- xyxy ≈ xy²x
- xyxzx ≈ xyzx
- xyzxy ≈ xyzyx
- xyzxz ≈ xyz²x