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[13501]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-d2903f584ca9fd4c in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- xy ≈ xy²
- x²yx ≈ xyx
- xyx ≈ xyx²
- x²y² ≈ xyxy
- xyzx ≈ xyzyx
- x²yzy ≈ xyzxy
- x²yz² ≈ xyzxz
- xyztx ≈ xyztzx
- x²yztz ≈ xyztxz