A certified basis of 6 identities

This list of identities is a basis, proved in Lean, of 8 semigroups of order six, all of which generate the variety V[2606]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-6f3a28bb1a082ac1 in the data of the bases-min seal.

Certified for

The identities

1. x³ ≈ x⁴
2. xyx ≈ yx²
3. x³y ≈ x²y
4. x²yx ≈ xyx
5. x²y² ≈ xy²x
6. xyz ≈ yxz