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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 2022 Volume 58, Issue 3, Pages 85–89 (Mi ppi2377)

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

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.

UDC: 621.391 : 517.938 : 519.766

Received: 23.03.2022
Revised: 11.06.2022
Accepted: 11.06.2022

DOI: 10.31857/S055529232203007X


 English version:
Problems of Information Transmission, 2022, 58:3, 279–283


© Steklov Math. Inst. of RAS, 2026