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Indistinguishability of Finite-State Automata with Respect to Some Environments

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Abstract

The paper deals with the problem of indistinguishability of finite-state automata interacting with the same environment. A method of construction of efficient environments, i.e., the environments for which this problem is algorithmically solvable, is proposed. An example of an inefficient geometric environment is given.

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REFERENCES

  1. V. B. Kudryavtsev,S. V. Alyoshin, andA. S. Podkolzin, An Introduction to the Theory of Automata [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  2. V. B. Kudryavtsev,Sh. Ushchumlich, andG. Kilibarba, “Behavior of automata in labyrinths,” Diskret. Mat., 4, No. 3, 3–28 (1992).

    Google Scholar 

  3. V. M. Glushkov,G. E. Tseitlin, andE. L. Yushchenko, Algebra, Languages, and Programming [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  4. V. B. Kudryavtsev, Functional Systems [in Russian], Izd. MGU, Moscow (1982).

    Google Scholar 

  5. M. E. Gouda,E. G. Manning, andY. T. Yu, “On the progress of communication between two finite-state machines,” Inform. Control., 63 No. 3, 200–216 (1984).

    Google Scholar 

  6. V. I. Grunskaya, “Some properties of trajectories of automata in labyrinths,” Synopsis of Candidate's Thesis in Physical and Mathematical Sciences [in Russian], MGU, Moscow (1994).

    Google Scholar 

  7. I. S. Grunskii andA. N. Kurganskii, “Indistinguishability of finite-state automata with constrained behavior,” Kibern. Sist. Anal., No. 5, 58–72 (1996).

  8. J. C. Shepherdson, “The reduction of two-way automata to one-way automata,” Kibern. Sb., No. 4, 92–98 (1962).

  9. M. O. Rabin andD. Scott, “Finite state machines and their decision problems,” Kibern. Sb., No. 4, 58–91 (1962).

  10. M. Gross andA. Lentin, Notions sur les Grammaires Formelles [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  11. I. S. Grunskii,V. A. Kozlovskii, andG. G. Ponomarenko, Representation of Finite Automata by Fragments of Their Behavior [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  12. M. Minsky, Computation: Finite and Infinite Machines [Russian translation], Mir, Moscow (1971).

    Google Scholar 

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Kurganskii, A.N. Indistinguishability of Finite-State Automata with Respect to Some Environments. Cybernetics and Systems Analysis 37, 33–41 (2001). https://doi.org/10.1023/A:1016659815354

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  • DOI: https://doi.org/10.1023/A:1016659815354

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