A certified basis of 33 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[6225]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-18f874f25682439d in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x²yx² ≈ xyx
- x²y³ ≈ xyx
- xyx ≈ xyx³
- xyx ≈ xyxy²
- xyx ≈ xy²xy
- x³y² ≈ x²yxy
- x³y² ≈ x²y²x
- x³y² ≈ xyx²y
- x³y² ≈ xyxyx
- x³y² ≈ xy²x²
- xy³z ≈ xyz
- x³yz ≈ x²yxz
- x³yz ≈ xyx²z
- x²y²z ≈ xyxyz
- x²y²z ≈ xy²xz
- x²yzx ≈ xyxzx
- x²yzx ≈ xyzx²
- x²yzy ≈ xyxzy
- x²yzy ≈ xy²zx
- x²yzy ≈ xyzxy
- x²yzy ≈ xyzyx
- x²yz² ≈ xyxz²
- x²yz² ≈ xyzxz
- x²yz² ≈ xyz²x
- xy²zy ≈ xyzy²
- xy²zy ≈ xyz³
- xy²z² ≈ xyzyz
- xy²z² ≈ xyz²y
- x²yzt ≈ xyxzt
- x²yzt ≈ xyzxt
- xy²zt ≈ xyzyt