A certified basis of 10 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[8029]. Removing the identities that follow from the others leaves 5 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-c61e18abe7a30af0 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- x²y² ≈ yx²y
- xyzy ≈ xzy²
- xyxzx ≈ xyzx
- x²y²z ≈ xy²xz
- x²yzy ≈ yx²zy
- xyxz² ≈ zxyxz