A certified basis of 10 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[7987]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-6dbcb8e6ae566c4a in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ yx²y
- xyxy ≈ yx²y
- x²yz² ≈ zx²yz
- xyxzy ≈ yx²zy
- xyzxy ≈ yxzxy
- x²y²z² ≈ y²x²z²
- xyzxty ≈ yxzxty