SemiBase

A certified basis of 12 identities

This list of identities is a basis, proved in Lean, of [6, 5581], which generates the variety V[5581]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-02399b9b0cdae694 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x³y ≈ x²y
  3. x²yx ≈ xyx
  4. x²y² ≈ xy²
  5. xyx ≈ xyx²
  6. xyx ≈ xyxy
  7. xyx ≈ xy²x
  8. xyx ≈ xy³
  9. x²yz ≈ xyz
  10. xyzx ≈ xyzy
  11. xyxzx ≈ xyzx
  12. xyxz² ≈ xyz²