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Effective Enumerations of Abstract Structures

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Mathematical Logic

Abstract

There is a close relationship between the enumerations which admits an abstract structure A and the “effective” computable functions in A, see [1,2,3].

Research partially supported by the Ministry of Culture, Science and Education, Contract # 933, 1988.

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References

  1. Y. N. Moschovakis, Abstract computability and invariant definability. J. Symb. Logic. 34:4 (1969).

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  2. I. N. Soskov, Definability via enumerations. J. Symb. Logic (to appear).

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  3. I. N. Soskov, Computability by means of effectively definable schemes and definability via enumerations, Submitted for publication.

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  4. J. C. Shepherdson, Computation over abstract structures, in: “Logic Colloquium’77”, H. E. Rose, J. C. Shepherdson eds., North-Holland, Amsterdam, (1975), pp. 445–513.

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© 1990 Plenum Press, New York

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Soskova, A.A., Soskov, I.N. (1990). Effective Enumerations of Abstract Structures. In: Petkov, P.P. (eds) Mathematical Logic. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0609-2_26

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  • DOI: https://doi.org/10.1007/978-1-4613-0609-2_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-7890-0

  • Online ISBN: 978-1-4613-0609-2

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