Some New Results in the Theory of Intelligent Systems

Valery B. Kudryavtsev and Alexander S. Strogalov
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Valery B. Kudryavtsev: Moscow State University
Alexander S. Strogalov: Moscow State University

A chapter in Mathematical Modeling, 2001, pp 115-119 from Springer

Abstract: Abstract A mathematical model of intelligent system of a principally new type based on a new interpretation of the concept of induction and decision-making mechanism is developed. Professor A.S. Podkolzin invented a specific formalism for describing such systems based on a new high-level algorithmic language LSD (Logical Situation Descriptor) At the present time, this intelligent system is implemented as a Windows application in the form of a solver of mathematical problems in the symbolic form. The above-mentioned system can solve all typical problems of elementary mathematics (with the exception of geometrical and textual problems; the author is now working intensively on teaching the system to solve problems of these types) and of a number of branches of higher mathematics (differentiation, taking limits, integration, etc.) This solver demands less then 25 MB of computer memory.

Date: 2001
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DOI: 10.1007/978-1-4757-3397-6_11

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