A certified basis of 2 identities
This list of identities is a basis, proved in Lean, of 14 semigroups of order six, all of which generate the variety V[2807]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-292edf0ee3cf5096 in the data of the bases-min seal.
Certified for
[6, 2807] [6, 2809] [6, 2811] [6, 2813] [6, 2815] [6, 5268] [6, 5270] [6, 5357] [6, 5359] [6, 5470] [6, 5687] [6, 5688] [6, 5691] [6, 5715]
The identities
- x⁴ ≈ x⁵
- xy ≈ yx