A certified basis of 4 identities
This list of identities is a basis, proved in Lean, of 12 semigroups of order six, all of which generate the variety V[2799]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-8a30b356e9e497d0 in the data of the bases-min seal.
Certified for
[6, 2799] [6, 2801] [6, 2804] [6, 2806] [6, 5267] [6, 5345] [6, 5347] [6, 5348] [6, 5350] [6, 5467] [6, 5469] [6, 5685]
The identities
- x²y ≈ xyx
- x²y ≈ xy²
- xyz ≈ xzy
- x⁴ ≈ xyzt