A certified basis of 4 identities
This list of identities is a basis, proved in Lean, of 23 semigroups of order six, all of which generate the variety V[8763]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-7442a63ca47ecee8 in the data of the bases-min seal.
Certified for
[6, 8763] [6, 11753] [6, 12175] [6, 12520] [6, 14024] [6, 14090] [6, 14190] [6, 14191] [6, 14196] [6, 14227] [6, 14228] [6, 14232] [6, 14411] [6, 14412] [6, 14458] [6, 14462] [6, 14463] [6, 14466] [6, 14468] [6, 14551] [6, 14564] [6, 14580] [6, 14581]
The identities
- x²y ≈ xy
- xy ≈ xy²
- xy ≈ xyxy
- xyz ≈ xzyz