A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[583]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-ac4c2f04e2dc6e4d in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x²y
- x³ ≈ y²x
- x³ ≈ y³
- x²y ≈ y²x
- xyx ≈ xy²
- x³ ≈ y²z
- x²y ≈ x²z
- x²y ≈ y²z
- x²y ≈ z²y
- x²y ≈ z²t
- x³ ≈ yztu
- x²y ≈ ztuv
- xyzt ≈ uvws