A certified basis of 11 identities
This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[8920]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-a545fb720578f79a in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³y ≈ xy
- x²yx ≈ yx³
- x²yx² ≈ yx²
- x²yxy ≈ yxy
- xyx ≈ xyx³
- xyx ≈ yxy²x
- xyxy ≈ yx²y
- x²yxz ≈ yxz
- xyxzy ≈ yx²zy
- xyzxy ≈ yxzxy