A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[8865]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-7ab64cfc2c05fa79 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x²yx ≈ xyx²
- x²yx² ≈ xyx
- x²yxy ≈ yxy
- xyx ≈ xyx³
- xyx ≈ xy³x
- xyx ≈ yxy²x
- xyxy ≈ yx²y
- xyzx ≈ xzyx
- x²yxz ≈ yxy²z
- xyxyz ≈ xy²xz
- xyxzy ≈ yx²zy