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[5547]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-9afb149b4009cd33 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- xyx ≈ yxy
- x³y ≈ x²y
- x²yx ≈ xyx
- x²y² ≈ xyx
- xy² ≈ xy³
- xyzx ≈ xzyx
- x²yzy ≈ xyzx
- xyxz ≈ xy²xz
- xyxz² ≈ xyzx
- xy²zx ≈ xyzx
- xyzy ≈ xyz²y