SemiBase

A certified basis of 11 identities

This list of identities is a basis, proved in Lean, of [6, 13411], which generates the variety V[13411]. Removing the identities that follow from the others leaves 6 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-b4343afed1edd9b4 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. xyxzx ≈ xyzx
  7. x²y²z ≈ xy²xz
  8. x²yzy ≈ xyxzy
  9. x²yzy ≈ yx²zy
  10. xyxz² ≈ xyzxz
  11. xyzxy ≈ yxzxy