SemiBase

A certified basis of 15 identities

This list of identities is a basis, proved in Lean, of [6, 3942], which generates the variety V[3942]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-311466c6f26f879e in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx ≈ xyx²
  4. x²y² ≈ xyxy
  5. x²y² ≈ yx²y
  6. x²y²z ≈ xy²xz
  7. x²yzy ≈ x²zy²
  8. x²yzy ≈ xyxzy
  9. x²yzy ≈ xyzxy
  10. x²yzy ≈ xzxy²
  11. x²yzy ≈ xzyxy
  12. x²yzy ≈ yx²zy
  13. x²yzy ≈ yxzxy
  14. x²yzy ≈ yzx²y
  15. xyxzx ≈ xzxyx