SemiBase

A certified basis of 10 identities

This list of identities is a basis, proved in Lean, of [6, 1075], which generates the variety V[1075]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-4909dea9adb902cf in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ xy²x
  3. x²yx ≈ x²y²
  4. x²yx ≈ xyx²
  5. x²yx ≈ yxyx
  6. xy²z ≈ xyz
  7. x²yz ≈ yxyz
  8. xyzx ≈ xzyx
  9. x²yzx ≈ x²yzy
  10. x²yzx ≈ x²yz²