A certified basis of 14 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[6510]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-f96340f749bf19b7 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²y ≈ x²yx
- x²y ≈ x²y²
- x²y ≈ xyxy
- xyx ≈ xyx²
- x²y ≈ xyx²y
- xyz ≈ xyz²
- x²yz ≈ x²zy
- xyxz ≈ xyzx
- xy²z ≈ xzyz
- x²yz ≈ xyxzy
- x²yz ≈ xy²xz
- x²yz ≈ xyzxy
- x²yz ≈ xyzyx