SemiBase

A certified basis of 11 identities

This list of identities is a basis, proved in Lean, of [6, 8864], which generates the variety V[8864]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b0cf6e7283f6dd96 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁴
  2. x³yx ≈ xyx
  3. x²yx ≈ xyx²
  4. x²yx² ≈ xyx
  5. x²yxy ≈ yxy
  6. xyx ≈ xyx³
  7. xyx ≈ xy³x
  8. xyx ≈ yxy²x
  9. xyxy ≈ yx²y
  10. xyzx ≈ xzyx
  11. xyxzy ≈ yx²zy