A certified basis of 23 identities
This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[3079]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-907f5755556b1a78 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x³y² ≈ xy²
- x²yx² ≈ yx²
- x²yxy ≈ xy²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- x²y²x ≈ xy²
- x²y³ ≈ yx²
- xyx² ≈ xy³
- xyx² ≈ yx³
- xyx³ ≈ yx²
- xyx²y ≈ xy²
- xyxyx ≈ xy²
- xyxy² ≈ yx²
- xy² ≈ xy²x²
- xy² ≈ yx³y
- xy² ≈ yx²yx
- x³yz ≈ xyz
- xyxz ≈ yx²z
- xyzx ≈ yxzx
- xyz² ≈ yxz²