A certified basis of 3 identities
This list of identities is a basis, proved in Lean, of 10 semigroups of order six, all of which generate the variety V[7672]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-1951992a68132791 in the data of the bases-min seal.
Certified for
[6, 7672] [6, 8497] [6, 11271] [6, 11599] [6, 13550] [6, 13551] [6, 13552] [6, 13553] [6, 13760] [6, 14001]
The identities
- x² ≈ x³
- xyx ≈ xyxyx
- xyxzx ≈ xzxyx