A certified basis of 14 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[3006]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-cec834b5a24ffcb9 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x²yx ≈ yx³
- x²yx² ≈ yx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- xyx ≈ xyx³
- x²yz ≈ yx²z
- x²yzy ≈ xyxzy
- x²yzy ≈ yzxyx
- x²yzy ≈ yzyx²
- xyzxy ≈ xyzyx
- xyzxy ≈ yxzxy