A certified basis of 11 identities
This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[12959]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-81cafe3dd874edc6 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- xyx ≈ xy²x
- xyx ≈ xyxyx
- xyxyz ≈ xyxz
- xyxzx ≈ xyzx
- xy²zx ≈ xyzx
- xyzx ≈ xyzyx
- xyzx ≈ xyz²x
- xyxzy ≈ xyzxy