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Structure of weakly invertible semi-input-memory finite automata with delay 1

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Abstract

Semi-imput-memory finite automata, a kind of finite automata introduced by the first author of this paper for studying error propagation, are a generalization of inputmemory finite automata by appending an autonomous finite automaton component. In this paper, we give a characterization of the structure of weakly invertible semi-input-memory finite automata with delay 1, in which the state graph of each autonomous finite automaton is a cycle. From a result on mutual invertibility of finite automata obtained by the authors recently, it leads to a characterization of the structure of feedforward inverse finite automata with delay 1.

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Authors and Affiliations

  1. Laboratory for Computer Science, Institute of Software, The Chinese Academy of Sciences, 100080, Beijing, P.R. China

    Tao Renji & Chen Shihua

Authors
  1. Tao Renji
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  2. Chen Shihua
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Corresponding author

Correspondence to Tao Renji.

Additional information

Supported by the National Natural Science Foundation of China under grant No.60073021 and the NKBRSF of China under grant No.G19990358.

TAO Renji graduated from Department of Mathematics, Peking University in 1957. He is now a professor of the Institute of Software, Chinese Academy of Sciences. His current research interests are automata theory. cryptology and combinatorics.

CHEN Shihua graduated from Department of Mathematics, Sichuan University in 1959. She is now a professor of the Institute of Software, Chinese Academy of Sciences. Her current research interests are automata theory, cryptology and combinatorics.

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Tao, R., Chen, S. Structure of weakly invertible semi-input-memory finite automata with delay 1. J. Comput. Sci. & Technol. 17, 369–376 (2002). https://doi.org/10.1007/BF02943277

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  • DOI: https://doi.org/10.1007/BF02943277

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