A certified basis of 9 identities
This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[7628]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-5a571fb6caa799ca in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²yz ≈ xyxz
- x²yzy ≈ xy²zx
- x²yz² ≈ xyz²x
- xy²z² ≈ xzy²z