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Two-State Mealy Automata of Intermediate Growth over a Two-Letter Alphabet

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Abstract

Two-state automata of intermediate growth over a two-letter alphabet are studied. The asymptotic behavior of the growth function is analyzed. A system of defining relations is found. It is proved that such a system cannot be finite.

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Authors and Affiliations

  1. T. Shevchenko Kiev National University, Russia

    I. I. Reznikov

  2. Silesian Technical University, Poland

    V. I. Sushchanskii

Authors
  1. I. I. Reznikov
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  2. V. I. Sushchanskii
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Reznikov, I.I., Sushchanskii, V.I. Two-State Mealy Automata of Intermediate Growth over a Two-Letter Alphabet. Mathematical Notes 72, 90–104 (2002). https://doi.org/10.1023/A:1019873206272

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