A certified basis of 16 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[6432]. Removing the identities that follow from the others leaves 8 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-7e93b3c4d5faf3c2 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- xyxz² ≈ xzyxz
- xyxz² ≈ zxyxz
- xyzxz ≈ xyz²x
- xyzxz ≈ zyx²z
- x²yzy² ≈ x²zy²
- xyxztz ≈ xzyxtz
- xyxztz ≈ zxyxtz
- xyzxtz ≈ zyx²tz
- xyzxtz ≈ zyx²tz
- xyztxz ≈ zyxtxz
- xyztxz ≈ zyxtxz