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.
Similar content being viewed by others
REFERENCES
V. B. Kudryavtsev,S. V. Alyoshin, andA. S. Podkolzin, An Introduction to the Theory of Automata [in Russian], Nauka, Moscow (1985).
V. B. Kudryavtsev,Sh. Ushchumlich, andG. Kilibarba, “Behavior of automata in labyrinths,” Diskret. Mat., 4, No. 3, 3–28 (1992).
V. M. Glushkov,G. E. Tseitlin, andE. L. Yushchenko, Algebra, Languages, and Programming [in Russian], Naukova Dumka, Kiev (1989).
V. B. Kudryavtsev, Functional Systems [in Russian], Izd. MGU, Moscow (1982).
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).
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).
I. S. Grunskii andA. N. Kurganskii, “Indistinguishability of finite-state automata with constrained behavior,” Kibern. Sist. Anal., No. 5, 58–72 (1996).
J. C. Shepherdson, “The reduction of two-way automata to one-way automata,” Kibern. Sb., No. 4, 92–98 (1962).
M. O. Rabin andD. Scott, “Finite state machines and their decision problems,” Kibern. Sb., No. 4, 58–91 (1962).
M. Gross andA. Lentin, Notions sur les Grammaires Formelles [Russian translation], Mir, Moscow (1971).
I. S. Grunskii,V. A. Kozlovskii, andG. G. Ponomarenko, Representation of Finite Automata by Fragments of Their Behavior [in Russian], Naukova Dumka, Kiev (1990).
M. Minsky, Computation: Finite and Infinite Machines [Russian translation], Mir, Moscow (1971).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1023/A:1016659815354