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Abstract

Much attention is being given today to the questions of the programming and subsequent computer solution of problems of synthesizing automata, since the quite complex schemes of automata which arise in practice cannot, with the existing methods, be constructed manually. However, up to now no account has been taken, in the computerizing of various steps in automata synthesis, of the fact that an automaton is built of elements subject to error, and must satisfy certain definite requirements as to the reliability of its operations.

Keywords

Internal State Input State Finite Automaton Memory Element Transition Table 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

  1. 1.
    V. A. Gaiskii, “Method of constructing restorable control systems with automatic diagnosis of faults,” Avtomat. i Telemekhan., Vol. 26, No. 8 (1965).Google Scholar
  2. 2.
    M. V. Wilkes, “Design of practical self-repairing systems,” Control, Vol. 4, No. 40 (1961).Google Scholar
  3. 3.
    J. von Neumann, “Probabilistic logics and the synthesis of reliable organisms from unreliable components,” in Automata Studies, (eds. C. E. Shannon and J. McCarthy), Princeton University Press, Princeton (1956).Google Scholar
  4. 4.
    L. A. M. Verbeek, “On error minimizing neuronal nets,” in: Principles of Self-Organization, Pergamon Press (1962).Google Scholar
  5. 5.
    I. D. Cowan, “Many-valued logics and reliable automata,” in: Principles of Self-Organization, Pergamon Press (1962).Google Scholar
  6. 6.
    E. Moore and C. Shannon, “Reliable circuits using less reliable relays,” J. of the Franklin Inst., No. 3 (1956); No. 4 (1956).Google Scholar
  7. 7.
    A. A. Mullin, “Reliable stochastic sequential switching circuits,” Commun. and Electr., No. 39 (1958).Google Scholar
  8. 8.
    P. Elias, “Computation in the presence of noise,” IBM J. Res. and Develop., Vol. 2 (1958).Google Scholar
  9. 9.
    A. D. Zakrevskii, “Method of synthesizing functionally stable automata,” Dokl. Akad. Nauk SSSR, Vol. 129, No. 4 (1959).Google Scholar
  10. 10.
    J. Tooley, “Network coding for reliability,” Commun. and Electr., No. 64 (1963).Google Scholar
  11. 11.
    D. B. Armstrong, “A general method of applying error correction to synchronous digital systems,” Bell System Tech. Journal, Vol. 40, No. 2 (1961).Google Scholar
  12. 12.
    M. A. Gavrilov, “Structural redundancy and reliability of operation of relay devices,” in: Proceedings of the First IFAC Congress, Vol. 3, Izd. Akad. Nauk SSSR, (1961).Google Scholar
  13. 13.
    W. W. Peterson, Error-Correcting Codes, Wiley, Cambridge (1961).Google Scholar
  14. 14.
    S. H. Caldwell, Switching Circuits and Logical Design, Wiley, New York (1958).Google Scholar
  15. 15.
    A. M. Polovko, Fundamentals of Reliability Theory, Izd. “Nauka” (1964).Google Scholar
  16. 16.
    B. V Gnedenko, Course in Probability Theory, Izd. “Nauka” (1965).Google Scholar
  17. 17.
    V. B. Davenport and V. L. Root, Introduction to the Theory of Random Signals and Noise, McGraw-Hill, New York, New York (1958).Google Scholar
  18. 18.
    P. Elias, “Coding in real communications systems,” [Russian translation from English], in: Cybernetics Collection, No. 4, IL (1962).Google Scholar
  19. 19.
    V. G. Lazarev and E. I. Piil’, Synthesis of Asynchronous Finite Automata, Izd. “Nauka” (1964).Google Scholar
  20. 20.
    E. N. Turuta, “On the question of structural redundancy in constructing type B automata with given reliability,” in: Information Transmission Networks and Their Automation, Izd. “Nauka” (1965).Google Scholar
  21. 21.
    M. E. Tylkin, “On realizations of distance matrices in unit cubes,” in: Problems of Cybernetics, Vol. 7 (1962).Google Scholar
  22. 22.
    D. Slepian, “A class of binary signalling alphabets,” Bell System Tech. J. Vol. 35 (1957).Google Scholar

Copyright information

© Consultants Bureau, New York 1969

Authors and Affiliations

  • E. N. Turuta

There are no affiliations available

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