A certified basis of 11 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[2812]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-7423e72f99acd8b5 in the data of the bases-min seal.
Certified for
The identities
- x⁴ ≈ x⁵
- x²y ≈ yx²
- xyx ≈ yx²
- x³y ≈ yx³
- x²y² ≈ y²x²
- x⁴y ≈ yx⁴
- x³y² ≈ y²x³
- x⁴y² ≈ y²x⁴
- x³y³ ≈ y³x³
- x⁴y³ ≈ y³x⁴
- x⁴y⁴ ≈ y⁴x⁴