A certified basis of 11 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[14872]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-eac98d039a7bd325 in the data of the bases-min seal.
Certified for
The identities
- x ≈ x³
- x²y ≈ xyxy²
- x²y ≈ xy²xy
- x²yx ≈ xyx²
- x²yx² ≈ xyx
- x²yxy ≈ xy²
- x²y² ≈ xyxy
- xyx²y ≈ xy²
- x²yzx ≈ xyxzx
- x²yzy ≈ xyxzy
- xyxz² ≈ xyzxz