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[7655]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-deb3c638a2cfa181 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- xyx ≈ xy²x
- x²y² ≈ xyxy
- xyx ≈ xyxyx
- xy²z ≈ xyz
- x²yz ≈ xyxz
- xyzx ≈ xzyx
- xyzy ≈ xzy²