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On the Completeness of Functions Having Delays

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Systems Theory Research

Abstract

This paper studies completeness conditions for a certain class of automata without feedbacks — so-called functions with delays [1]. The problems considered in the paper are related to investigations begun in [1] and to an obvious degree are a continuation of them.

Original article submitted November 15, 1968.

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Literature Cited

  1. V. B. Kudryavtsev, “Completeness theorem for a certain class of automata without feedbacks,” in: Problemy Kibernetiki, No. 8, Fizmatgiz, Moscow (1962).

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  2. S. V. Yablonskii, G. P. Gavrilov, and V. B. Kudryavtsev, Logic Algebra Functions and Post Classes, Nauka, Moscow (1966).

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  3. S. V. Yablonskii, Functional Constructions in k-Valued Logic, Transactions of the V. A. Steklov Mathematics Institute of the Academy of Sciences, Vol. 51 (1958).

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  4. E. L. Post, Two-Valued Interactive Systems of Mathematical Logic, Princeton (1941).

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A. A. Lyapunov

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© 1973 Consultants Bureau, New York

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Biryukova, L.A., Kudryavtsev, V.B. (1973). On the Completeness of Functions Having Delays. In: Lyapunov, A.A. (eds) Systems Theory Research. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-0079-4_1

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  • DOI: https://doi.org/10.1007/978-1-4757-0079-4_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-0081-7

  • Online ISBN: 978-1-4757-0079-4

  • eBook Packages: Springer Book Archive

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