A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 6 semigroups of order six, all of which generate the variety V[2737]. Removing the identities that follow from the others leaves 7 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-12b3e2c2b375beb0 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- x²yx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- x³yx ≈ x²yx
- x³y² ≈ yx³y
- x²yz ≈ xyxz
- xyzx ≈ xzyx
- xyzy ≈ xzy²
- x²yzy ≈ xy²zx
- x²yzy ≈ yx²zy
- xyzt ≈ xzyt