A certified basis of 8 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[2854]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-8f357dc4054466f6 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁵
- xyx ≈ yx²
- x⁴y ≈ x²y
- x³y²x ≈ x²y⁴
- x³y³ ≈ x²y³x
- x³y³x ≈ x²y³
- x³y⁴ ≈ x²y²x
- xyz ≈ yxz