A certified basis of 10 identities
This list of identities is a basis, proved in Lean, of 10 semigroups of order six, all of which generate the variety V[2847]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-1050c166a6a479b9 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁵
- xyx ≈ yx²
- x⁴y ≈ x²y
- x³yx ≈ xyx
- x²yx ≈ xy³
- x²y² ≈ xy²x
- x²y³ ≈ xyx
- xyx ≈ xy³x
- xyz ≈ yxz
- x³yz ≈ xyz