SemiBase

A certified basis of 16 identities

This list of identities is a basis, proved in Lean, of [6, 14910], which generates the variety V[14910]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-561220ce88d2f4c1 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁵
  2. x⁴y ≈ xy
  3. x²yx ≈ xyx²
  4. x²y² ≈ xyxy
  5. x²y² ≈ xy²x
  6. x³yx ≈ xy⁴
  7. x²y³ ≈ xy³x
  8. x²yz ≈ xyxz
  9. x²yzy ≈ xy²zx
  10. x²yz² ≈ xyz²x
  11. x³yzx ≈ xy³zy
  12. x³yzx ≈ xyz⁴
  13. x³yzx ≈ xyz⁴
  14. xyx²zx ≈ xy³zy
  15. xy³zy ≈ xyzx³
  16. xyzx³ ≈ xyz⁴