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The talk will be devoted to a computer program written by Prof. A.S. Podkolzin that aims to model human reasoning when solving problems. The program is a universal rule-based problem solver that can be trained by an expert in a particular domain using two new high-level programming languages called LOS and GENOLOG. At the current moment the system uses approximately 25 000 rules and can solve problems in a wide range of areas including mathematics, physics, chemistry, programming, and many others. During the talk there will be a demonstration of the program on a number of examples.