A certified basis of 10 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[5498]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-b3f50b76c9d98426 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁵
- x²y ≈ xyx
- x⁴y ≈ x²y
- x³y ≈ yxy²
- x²y ≈ x²y³
- x²y ≈ yx²y²
- x²y² ≈ yx²y
- xy² ≈ xy⁴
- xyz ≈ xzy
- xy³z ≈ xyz