A certified basis of 12 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[5577]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-09c90d65bbe4a704 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- x³y ≈ x²y
- x²yx ≈ xyx
- x²y² ≈ xy²
- xyx ≈ xyx²
- xyx ≈ xyxy
- xyx ≈ xy²x
- xyx ≈ xy³
- x²yz ≈ xyz
- xyzx ≈ xyzy
- xyzx ≈ xzyx
- xyxz² ≈ xyz²