SemiBase

A certified basis of 14 identities

This list of identities is a basis, proved in Lean, of [6, 6512], which generates the variety V[6512]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b2c945dbb9caa171 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²y ≈ x²yx
  3. x²y ≈ x²y²
  4. x²y ≈ xyxy
  5. xyx ≈ xyx²
  6. x²y ≈ xyx²y
  7. xyz ≈ xyz²
  8. xyxz ≈ xyzx
  9. x²yz ≈ x²yzy
  10. x²yz ≈ xyxzy
  11. x²yz ≈ xy²xz
  12. x²yz ≈ xy²zx
  13. x²yz ≈ xyzxy
  14. x²yz ≈ xyzyx