SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 5526], which generates the variety V[5526]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-565e8664db627263 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. xyx ≈ yx²
  3. x³y ≈ x²y
  4. x²yx ≈ xyx
  5. xyx ≈ xy²x
  6. x²yz ≈ xyz
  7. xy²z ≈ xyz
  8. xyzx ≈ xzyx