A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[2778]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-f0e30e2fc0d59846 in the data of the bases-min seal.
Certified for
The identities
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ y²x²
- x³y² ≈ y²x³
- x³y³ ≈ y³x³
- x²yz² ≈ z²yx²
- xyxzx ≈ xzxyx
- x³yz² ≈ z²yx³
- x³yz³ ≈ z³yx³
- x³yx³z² ≈ x³yz²
- x²y³zy³ ≈ x²zy³
- x²y²zt² ≈ x²zy²t²
- x²yz²tu² ≈ x²tz²yu²