SemiBase

A certified basis of 12 identities

This list of identities is a basis, proved in Lean, of [6, 3334], which generates the variety V[3334]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-00cb447c59230753 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. x²y² ≈ yxy
  4. xyx ≈ xyx²
  5. xyx ≈ xy²x
  6. xyx ≈ yxyx
  7. xy²z ≈ xyz
  8. xyzx ≈ xzyx
  9. x²yzy ≈ yxzy
  10. x²yz² ≈ zxyz
  11. xyxzy ≈ yxzy
  12. xyxz² ≈ zxyz