A certified basis of 7 identities
This list of identities is a basis, proved in Lean, of 12 semigroups of order six, all of which generate the variety V[2611]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-9500dc808ed32ac3 in the data of the bases-min seal.
Certified for
[6, 5473] [6, 5475] [6, 5476] [6, 5478] [6, 9389] [6, 9391] [6, 9393] [6, 9617] [6, 9630] [6, 9637] [6, 9640] [6, 9644]
The identities
- x³ ≈ x⁴
- x²y ≈ xyx
- x²y ≈ yxy
- x³y ≈ x²y
- xy² ≈ xy³
- xyz ≈ xzy
- xy²z ≈ xyz