A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[3608]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-58d5ad792ef3cc52 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ yx²y
- x²yzy ≈ xyzxy
- x²yzy ≈ yzx²y
- x²yz² ≈ xyxz²
- xyxzx ≈ xzxyx
- xyxzy ≈ xzxy²
- xyxz² ≈ xyzxz
- xyxz² ≈ zx²yz
- xyxz² ≈ zxyxz