A certified basis of 14 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[2636]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-08b026e3ff73ffb6 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- xyx ≈ yx²
- xyx ≈ yx²
- x³y ≈ x²y
- x²yx ≈ xyx²
- x²yx ≈ yx³
- xyxy ≈ yx²y
- x²y²x ≈ x²y³
- xyxz ≈ yx²z
- xyzx ≈ xzyx
- xyzx ≈ yxzx
- xyz² ≈ yxz²
- x²y²z ≈ xy²xz
- xyzt ≈ yxzt