Foundations of the functional Petri net theory were developed for the analysis of detailed models of networking protocols. Methods of timed Petri nets reduction on the basis of equivalent transformations of formulas describing their transfer function were constructed; weak types of nets equivalence were investigated. Methods of synthesis of continuous (fuzzy) logic functions given in tabular form were developed. Bases of the theory of clans of systems of the linear algebraic equations were built, allowing the acceleration of the systems solving in rings with a sign, as well as the...