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On the Problem of Finite Signature

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Abstract

We show that not each model can be replaced by a model of finite signature so that its automorphism group remains the same.

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References

  1. Ershov Yu. L. and Goncharov S. S., Constructive Models, Kluwer Academic / Plenum Publishers, New York etc. (2000) (Siberian School of Algebra and Logic).

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  2. Rogers H., Theory of Recursive Functions and Effective Computability, McGraw-Hill Book Comp., New York; St. Louis; San Francisco; Toronto; London; Sydney (1967).

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  3. Morozov A. S., “Computable automorphisms of models,” in: Abstracts: Mathematisches Forschungsinstitut Oberwolfach Tagungsbericht 3/2001, Berechenbarkeitstheorie 21.01.-27.01.2001, Oberwolfach, 2001, pp. 6–7.

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Morozov, A.S. On the Problem of Finite Signature. Siberian Mathematical Journal 44, 170–173 (2003). https://doi.org/10.1023/A:1022032908561

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  • DOI: https://doi.org/10.1023/A:1022032908561

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