A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[8219]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-2fe8bde4c14d1091 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- xyx ≈ xyx²
- xyx ≈ xyxy
- xyx ≈ xy²x
- x²yx ≈ x²y²
- xyzy ≈ xyz²
- xyzx ≈ xyzxy
- xyzx ≈ xyzxz
- xyzx ≈ xyzyx
- xyzx ≈ xyz²x
- x²yzx ≈ x²yzy
- xyxzx ≈ xyxzy
- xyxzx ≈ xy²zx