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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 3, Pages 85–89 DOI: https://doi.org/10.31857/S055529232203007X
(Mi ppi2377)
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Large Systems
Recoverable formal language
M. L. Blankab a Kharkevich Institute for Information Transmission Problems,
Russian Academy of Sciences, Moscow, Russia
b Higher School of Economics—National Research University, Moscow, Russia
DOI:
https://doi.org/10.31857/S055529232203007X
Abstract:
We study the problem of recovering distorted arbitrarily long messages written
in some dynamically specified formal language. We obtain necessary and sufficient conditions
on the language definition for an admissible message to exist in a neighborhood of a distorted
message provided that local perturbations occur rarely.
Keywords:
coding, formal language, dynamical system, shadowing of pseudo-trajectories.
Received: 23.03.2022 Revised: 11.06.2022 Accepted: 11.06.2022
Citation:
M. L. Blank, “Recoverable formal language”, Probl. Peredachi Inf., 58:3 (2022), 85–89; Problems Inform. Transmission, 58:3 (2022), 279–283
Linking options:
https://www.mathnet.ru/eng/ppi2377 https://www.mathnet.ru/eng/ppi/v58/i3/p85
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