A certified basis of 7 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[2586]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-12dfbcbd98e9d430 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- xyx ≈ xy²
- xyx ≈ yx²
- x³y ≈ x²y
- xy² ≈ xy³
- xyz ≈ yxz
- xy²z ≈ xyz