A certified basis of 20 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[8448]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-b4235da968798e23 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- xyxyx ≈ xy²x
- xyxyx ≈ xy²x
- x²y²z ≈ xyxyz
- x²yz² ≈ xyxz²
- x²yz² ≈ xyzxz
- x²yz² ≈ xzxyz
- x²yz² ≈ xzxyz
- x²yz² ≈ xzxyz
- xyxzx ≈ xzxyx
- xyzyz ≈ xzy²z
- xyzyz ≈ xzy²z
- xyxyxz ≈ xy²xz
- xyxzxy ≈ xzyxy
- x²yzyz ≈ xyxyz²
- xyxyzx ≈ xyzxyx
- xy²xz² ≈ xy²zxz
- xy²zt²uv² ≈ xt²uy²zv²