A certified basis of 10 identities
This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[3813]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-ef37ff4145b523be in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xy²x
- xyxy ≈ xy²x
- x²yz² ≈ xyxz²
- x²yz² ≈ xyz²x
- xyzxy ≈ xyzyx
- xyzxz ≈ xyz²x
- xyztxz ≈ xyztzx