A certified basis of 29 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[338]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-a75b5dec878ec596 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x²y
- x³ ≈ xy²
- x³ ≈ yx²
- x³ ≈ y²x
- x³ ≈ y³
- x²y ≈ xy²
- x²y ≈ yx²
- x²y ≈ y²x
- xy² ≈ yx²
- x³ ≈ y²z
- x³ ≈ yz²
- x²y ≈ x²z
- x²y ≈ xz²
- x²y ≈ y²z
- x²y ≈ yz²
- x²y ≈ zx²
- x²y ≈ zy²
- x²y ≈ z²y
- xy² ≈ xz²
- xy² ≈ yz²
- xy² ≈ zy²
- xyz ≈ zyx
- x²y ≈ z²t
- x²y ≈ zt²
- xy² ≈ zt²
- x³ ≈ yztu
- x²y ≈ ztuv
- xy² ≈ ztuv
- xyzt ≈ uvws