A certified basis of 12 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[8874]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-7066b46eb52400c8 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x²yx ≈ xyx²
- xyxy ≈ xy²x
- xyxy ≈ yx²y
- x²yzx ≈ xyxzx
- xyxzy ≈ yx²zy
- xyzxy ≈ xyzyx
- xyzxy ≈ yxzxy
- xyzxz ≈ xyz²x
- xyzxty ≈ yxzxty
- xyztxz ≈ xyztzx