  The paper considers the class of information systems capable of solving
heuristic problems on basis of formal theory that was termed modal and vector
theory of formal intelligent systems (FIS). The paper justifies the
construction of FIS resolution algorithm, defines the main features of these
systems and proves theorems that underlie the theory. The principle of
representation diversity of FIS construction is formulated. The paper deals
with the main principles of constructing and functioning formal intelligent
system (FIS) on basis of FIS modal and vector theory. The following phenomena
are considered: modular architecture of FIS presentation sub-system, algorithms
of data processing at every step of the stage of creating presentations.
Besides the paper suggests the structure of neural elements, i.e. zone
detectors and processors that are the basis for FIS construction.
