A certified basis of 17 identities
This list of identities is a basis, proved in Lean, of 5 semigroups of order six, all of which generate the variety V[4058]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-fb1b099fdc9ca5a4 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x²yx ≈ xyx²
- x²yx² ≈ xyx
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y³ ≈ xyx
- xyx ≈ xyx³
- xyx ≈ xyxy²
- xyx ≈ xy²xy
- xyx ≈ xy³x
- x²yz ≈ xyxz
- xy³z ≈ xyz
- xyzx ≈ xzyx
- xyzy ≈ xzy²
- x²yzy ≈ xy²zx
- xy²zy ≈ xyz³