A certified basis of 10 identities
This list of identities is a basis, proved in Lean, of 7 semigroups of order six, all of which generate the variety V[5736]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-c15bc678ddfe48d0 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁵
- x²y ≈ xyx
- x⁴y ≈ x²y
- x³y ≈ xy³
- x³y² ≈ xy²
- x²y ≈ x²y³
- xy² ≈ xy⁴
- xyz ≈ xzy
- x³yz ≈ xyz
- xy³z ≈ xyz