A certified basis of 16 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[14915]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-358ef14a4a521fa3 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁵
- x²yx ≈ xyx²
- xyxy ≈ xy²x
- xyxy ≈ yx²y
- x⁴yx ≈ xyx
- x³yxy ≈ yxy
- x³yx ≈ yxy³
- x²yxy ≈ yx³y
- xyzx ≈ xzyx
- xyxzy ≈ xy²zx
- xyxzy ≈ yx²zy
- xyx²zx ≈ zyxz³
- xyztx ≈ xytzx
- xyztx ≈ xytzx
- xyztx ≈ xytzx
- xyztx ≈ xytzx