SemiBase

A certified basis of 12 identities

This list of identities is a basis, proved in Lean, of [6, 2708], which generates the variety V[2708]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-5047c1eb8fcf3b7c in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x³y ≈ x²y
  3. x²yx ≈ xyx²
  4. x²yx ≈ yx³
  5. xyxy ≈ yx²y
  6. x²y²x ≈ x²y³
  7. xyxz ≈ yx²z
  8. xyzx ≈ xzyx
  9. xyzx ≈ yxzx
  10. xyz² ≈ yxz²
  11. x²y²z ≈ xy²xz
  12. xyzt ≈ yxzt