Description: A management the combat training of troops is a difficult and many-sided process, plugging plenty of various factors in the area of the interests. With the purpose of creation of intellectual control the system combat training offered on the basis of formal language of categories one of possible methods of formalization of processes of management the combat training. The use of such approach will allow to use for planning of the combat training not only the requirements of leading documents but also experience, knowledges of feature of preparation of specialists of different type. The use of language of categories allows to create flexible, and universal enough, instrument of formalization of processes of management the combat training.
Keywords: formalization, educational process, logic of categories, formal language, management, formal theory