The paper is dedicated to methods of increasing the intelligence level of interactive tutoring systems. New logical methods of knowledge representation and processing with application in intelligent control of tutoring systems are considered. The proposed methods are useful in problems which require coupling logics and heuristics as well as in problems with incomplete information and have other specifics in comparison with known intelligent components of computer systems. The architecture of a concrete intelligent tutoring system "Volga" is considered. The methods of automation of course tasks solving and action planning as well as techniques of constructing student's model are proposed.
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