"Symbolic computations in the lattice space R
^{n}_{c}
"
Ryabov G.G., Serov V.A. 
The methods of cubic structure coding for an ncube and a cubic nneighborhood in the lattice space R^{n}_{c} are developed in a more general context of the language formalism. The choice of an alphabet and its relation to the above problems on cubic structures for a cubic nneighborhood of radius r (r is integer) are considered with the aim of computer constructing of cubic structures and manifolds with prescribed properties. The mapping of subsets of the set Z onto the finite Hausdorff metric spaces whose points are all kdimensional faces of an ncube is analyzed. The efficiency of symbolic computations is discussed in the context of computer implementation. This work was supported by the Russian Foundation for Basic Research (project no. 090712135ofi_m). Keywords: lattice space R^{n}_{c}, representations of kfaces in ncube, HausdorffHamming metrics, symbolic operations

Ryabov G.G. email: genryabov@yandex.ru; Serov V.A. email: v_serov_@mail.ru 