A certified basis of 17 identities
This list of identities is a basis, proved in Lean, of 4 semigroups of order six, all of which generate the variety V[4335]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-e63cecfe7834f3b4 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁵
- x³ ≈ y³
- x²y ≈ yx²
- xyx ≈ yx²
- x² ≈ x²y³
- x² ≈ xyxy²
- x² ≈ xy²xy
- x² ≈ xy³x
- x² ≈ yx²y²
- x² ≈ yxyxy
- x² ≈ yxy²x
- x² ≈ y²x²y
- x² ≈ y²xyx
- x² ≈ y³x²
- xyz ≈ xzy
- xyz ≈ yxz
- x⁴yz ≈ xyz