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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
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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.
Funding agency Grant number
Russian Foundation for Basic Research 18-47-732015 р_мк
Received: 01.03.2019
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. V. Kozhevnikov, M. Yu. Leontiev, V. V. Prokhod'ko, V. A. Sergeev, E. S. Yazykova, “Prediction of solutions on the basis of the mathematical model of Cognitive Digital Automata”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2019, no. 1, 52–64
Citation in format AMSBIB
\Bibitem{KozLeoPro19}
\by V.~V.~Kozhevnikov, M.~Yu.~Leontiev, V.~V.~Prokhod'ko, V.~A.~Sergeev, E.~S.~Yazykova
\paper Prediction of solutions on the basis of the mathematical model of Cognitive Digital Automata
\jour Uchenyye zapiski UlGU. Seriya ``Matematika i informatsionnyye tekhnologii''
\yr 2019
\issue 1
\pages 52--64
\mathnet{http://mi.mathnet.ru/ulsu65}
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