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Representation of Automata by Groups. II

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Ukrainian Mathematical Journal Aims and scope

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Abstract

We obtain necessary and sufficient conditions under which the representation of abstract automata in terms of finite groups is consistent with the transition function of an automaton. We obtain sufficient conditions under which the mapping of a free semigroup of an automaton into a group realized by a component of the representation is a homomorphism.

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REFERENCES

  1. V. G. Skobelev, “Representation of automata by groups,” Ukr. Mat. Zh., 44, No.10, 1412–1416 (1992).

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    V. G. Skobelev

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  1. V. G. Skobelev
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Skobelev, V.G. Representation of Automata by Groups. II. Ukrainian Mathematical Journal 52, 1597–1605 (2000). https://doi.org/10.1023/A:1010405201956

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  • DOI: https://doi.org/10.1023/A:1010405201956

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