SemiBase

A certified basis of 10 identities

This list of identities is a basis, proved in Lean, of [6, 14467], which generates the variety V[14467]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-69b5165fd4b1f98e in the data of the bases-min seal.

Certified for

The identities

  1. x²y ≈ xy
  2. xy ≈ xy²
  3. x²y ≈ xyxy
  4. xyx ≈ xy²x
  5. x²yz ≈ xzxyz
  6. xyxz ≈ xzyxz
  7. xy²zx ≈ xyzx
  8. xyzx ≈ xzyzx
  9. xyxzt ≈ xtyxzt
  10. xyzytx ≈ xzytx