A certified basis of 18 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[5635]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-75737d6223881171 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- x³y ≈ xyx
- x²y ≈ x²y²
- xyx ≈ xyx²
- xy² ≈ xy³
- x²yxy ≈ xyx
- xyx ≈ xyxyx
- xyx ≈ xy²xy
- xyz ≈ xyz²
- x²yz ≈ x²zy
- xy²z ≈ xzyz
- xyxyz ≈ xyxz
- xyxz ≈ xyxzx
- xyxz ≈ xyxzy
- xyxz ≈ xy²xz
- xyxz ≈ xyzxy
- xyxz ≈ xyzxz
- xyxz ≈ xyzyx