A certified basis of 8 identities
This list of identities is a basis, proved in Lean, of 3 semigroups of order six, all of which generate the variety V[5113]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-625c53d9a66ea074 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁷
- xy ≈ yx
- x⁴ ≈ y⁴
- x³ ≈ x³y⁴
- x⁶y ≈ x²y
- x²y ≈ x²y⁵
- x⁵yz ≈ xyz
- x²y ≈ x²yz⁴