A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[8858]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-7ba17a69b320025a in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x²yx ≈ xyx²
- x²yx² ≈ xyx
- xyx ≈ xyx³
- xyx ≈ xyxy²
- xyx ≈ xy²xy
- xyx ≈ xy³x
- xyxy ≈ xy²x
- xyzx ≈ xzyx
- xyxzy ≈ xy²zx
- xy²zy ≈ xzyz²
- xyzyz ≈ xzy²z