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JOURNALS // Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii" // Archive

Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2019 Issue 1, Pages 52–64 (Mi ulsu65)

Prediction of solutions on the basis of the mathematical model of Cognitive Digital Automata

V. V. Kozhevnikova, M. Yu. Leontievba, V. V. Prokhod'koa, V. A. Sergeevb, E. S. Yazykovaa

a Ulyanovsk State University, Ulyanovsk, Russia
b Ul'yanovsk Branch of Institute of Radioengineering and Electronics, Russian Academy of Sciences

Abstract: An approach to the problem prediction of solutions on the basis of the mathematical model of cognitive digital automata (CDA) is proposed. A particular advantage of the proposed mathematical model of CDA is that the training procedure can be performed on a limited (minimal) number of training sets. Prediction or generation of solutions, in its turn, is performed on the basis of the mathematical model of CDA obtained in the process of training. The mathematical model of CDA was tested on an example of modeling an n-bit parallel adder. As a result of training on a limited (minimal) number of training sets, the mathematical model of n-bit parallel adder was formed, which made it possible to reproduce the entire set of the truth table of the n-bit parallel adder with a specified accuracy.

Keywords: cognitive digital automata, prediction, Petri nets, state equation, mathematical modeling, synthesis, generation, analysis, logic.

UDC: 519.6

Received: 01.03.2019



© Steklov Math. Inst. of RAS, 2024