A certified basis of 4 identities
This list of identities is a basis, proved in Lean, of 11 semigroups of order six, all of which generate the variety V[2856]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-c0cd58c95ab2d8d4 in the data of the bases-min seal.
Certified for
[6, 2856] [6, 2858] [6, 2872] [6, 2874] [6, 2881] [6, 2894] [6, 5305] [6, 5319] [6, 5453] [6, 5457] [6, 9383]
The identities
- x³ ≈ x⁵
- xyx ≈ yx²
- x²y² ≈ xy²x
- xyz ≈ yxz