A certified basis of 15 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[4103]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-5410dff8e53f62ca in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x²yx ≈ xyx²
- x²yx ≈ yxy²
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- x³yx ≈ xy³x
- xyx ≈ xyxyxyx
- xyx ≈ xyxyxyx
- x²yzy ≈ yzx²y
- xyxzx ≈ xzxyx
- xyxzy ≈ xzyxy
- xyxz² ≈ xz²yx
- x²y²z² ≈ xyxzyz
- xyxzyz ≈ xyzxzy
- xyzxzy ≈ zyxzxy