A certified basis of 13 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[14914]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-b2cebca7ee5ffd6e in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x⁵
- x²yx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ xy²x
- x²y² ≈ yx²y
- x⁴yx ≈ xyx
- x³yx ≈ yxy³
- x³y² ≈ yx³y
- xyzx ≈ xzyx
- x²yzy ≈ xyxzy
- x²yzy ≈ xy²zx
- x²yzy ≈ xzxy²
- x²yzy ≈ yx²zy