A certified basis of 5 identities
This list of identities is a basis, proved in Lean, of 12 semigroups of order six, all of which generate the variety V[989]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-c5e07a2ec547e1df in the data of the bases-min seal.
Certified for
[6, 989] [6, 990] [6, 991] [6, 992] [6, 1052] [6, 1053] [6, 1054] [6, 2909] [6, 2917] [6, 2930] [6, 2931] [6, 2932]
The identities
- x² ≈ x³
- xyx ≈ xy²
- xyx ≈ yx²
- xyz ≈ yxz
- x²yz ≈ xyz