A certified basis of 9 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[2980]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-e1f3adab4b9a05c1 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx² ≈ yx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- xyxz ≈ yx²z
- xyzx ≈ yxzx
- xyz² ≈ yxz²
- xyzt ≈ yxzt