A certified basis of 10 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[6165]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-a457419607eb0883 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- x²y² ≈ xy²
- xyx² ≈ xy²
- x²yz ≈ xyz
- xyxz ≈ xy²z
- xyz² ≈ xzy²
- xyzxy ≈ xyz²
- xyzxz ≈ xyz²
- xyzyx ≈ xyz²