A certified basis of 14 identities
This list of identities is a basis, proved in Lean, of 5 semigroups of order six, all of which generate the variety V[4076]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-18b2371c97c53596 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x²yx ≈ xyx²
- x²yx² ≈ xyx
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- xyx ≈ xyx³
- x³y² ≈ yx³y
- xyzx ≈ xzyx
- x²yzy ≈ xyxzy
- x²yzy ≈ xy²zx
- x²yzy ≈ xzxy²
- x²yzy ≈ yx²zy