A certified basis of 16 identities
This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[1110]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-e9c6e145c1ed4b46 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- x²yzy ≈ xzxy²
- x²yz² ≈ xyxz²
- xyxzx ≈ xzxyx
- xyxzy ≈ xzxy²
- xyxz² ≈ xyzxz
- xyxz² ≈ xyz²x
- xyxz² ≈ xzyxz
- xyxz² ≈ zx²yz
- xyxz² ≈ zxyxz
- xyxz² ≈ zyx²z