A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[7675]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-59b8ad7d7ae05a52 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- xyx ≈ xyx²
- xyx ≈ xyxy
- xyx ≈ xy²x
- x²yx ≈ x²y²
- xy²z ≈ xyz
- xyzx ≈ xyzxy
- xyzx ≈ xyzxz
- xyzx ≈ xyzyx
- x²yzx ≈ x²yzy
- x²yzx ≈ x²yz²
- xyxzx ≈ xyxzy
- xyxzx ≈ xyxz²