SemiBase

A certified basis of 11 identities

This list of identities is a basis, proved in Lean, of [6, 5441], which generates the variety V[5441]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-591faa88d3f60ee6 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. x³y ≈ x²y
  3. x²yx ≈ xyx
  4. x²y² ≈ xy²
  5. xyx² ≈ xyxy
  6. xyx² ≈ xy²x
  7. xyx² ≈ xy³
  8. xyx² ≈ yx³
  9. x²yz ≈ xyz
  10. xyzx ≈ yxzx
  11. xyz² ≈ yxz²