| 4.14.3 Functions using CoCoAServer |
| AlexanderDual_Frobby5 | Alexander Dual of monomial ideals |
| GBasis5, and more | calculations using the CoCoAServer |
| Gin, Gin5 | generic initial ideal |
| IrreducibleDecom_Frobby5 | Irreducible decomposition of monomial ideals |
| IsServerReady | checks if CoCoAServer is running |
| IsTree5 | checks if a facet complex is a tree |
| MakeCheck | run a series of tests |
| MaximalStandardMonomials_Frobby5 | Maximal standard monomials of monomial ideals |
| MayerVietorisTreeN1 | N-1st Betti multidegrees of monomial ideals using Mayer-Vietoris trees |
| PreprocessPts5 | Reduce redundancy in a set of approximate points |
| StableBBasis5 | Stable Border Basis of ideal of points |
| StableBBasisNBM5 | Numerical Border Basis of ideal of points |