A certified basis of 14 identities
This list of identities is a basis, proved in Lean, of 9 semigroups of order six, all of which generate the variety V[7943]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-0bfbe37f5e78b9f4 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- xyxzx ≈ xyzx
- x²yzy ≈ xyxzy
- x²yzy ≈ yx²zy
- xyxz² ≈ xyzxz
- xyxz² ≈ xyz²x
- xyxz² ≈ xzyxz
- xyxz² ≈ xzyzx
- xyxz² ≈ zxyxz