A certified basis of 22 identities
This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[13559]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-5f6adf27c7f11e70 in the data of the bases-min seal.
Certified for
The identities
- x² ≈ x³
- xyx ≈ xyx²
- xyx ≈ xy²x
- x²yx ≈ x²y²
- xyx² ≈ xyxy
- xyxy ≈ xy²x
- xyzx ≈ xyzyx
- xyzx ≈ xyz²x
- x²yzx ≈ x²yzy
- xyxzx ≈ xyxzy
- xyxzx ≈ xyxz²
- xyzx² ≈ xyzxy
- xyzx² ≈ xyzxz
- xyzxy ≈ xyzyx
- xyzxz ≈ xyz²x
- xyztx ≈ xyztzx
- xyxztx ≈ xyxztz
- xyzxtx ≈ xyzxty
- xyzxtx ≈ xyzxtz
- xyztx² ≈ xyztxz
- xyztxz ≈ xyztzx
- xyztxux ≈ xyztxuz