A certified basis of 11 identities
This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[8206]. Removing the identities that follow from the others leaves 7 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-7f4c1e22f202de90 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- xyxzx ≈ xyzx
- xy²z² ≈ xzy²z
- xyzxy ≈ xyzyx
- xyxztz ≈ xyzxtz
- xyxztz ≈ xyzxtz
- xyztyz ≈ xzytyz