A certified basis of 17 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[8863]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-46cf0526a4168fbe in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁴
- x³yx ≈ xyx
- x³y² ≈ yxy
- x²yx ≈ xyx²
- x²yx² ≈ xyx
- x²yxy ≈ yxy
- x²y² ≈ xyxy
- x²y² ≈ yx²y
- xyx ≈ xyx³
- xyx ≈ xy³x
- xyx ≈ yxy²x
- xyzx ≈ xzyx
- x²yxz ≈ yxy²z
- x²y²z ≈ xy²xz
- x²yzy ≈ xyxzy
- x²yzy ≈ xzxy²
- x²yzy ≈ yx²zy