A certified basis of 12 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[7691]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-d38f191eef8571f1 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- xyxy ≈ yx²y
- xyxzx ≈ xyzx
- x²yzy ≈ xyxzy
- xyxzy ≈ yx²zy
- xyxz² ≈ xyzxz
- xyzxy ≈ yxzxy
- xyxztz ≈ xyzxtz
- xyzxty ≈ yxzxty