Algebra and Logic

, Volume 30, Issue 6, pp 427–439 | Cite as

Transfer from deducibility in the classical set theory to deducibility in intuitionistic set theory for the language of rings

  • V. A. Lyubetskii


Mathematical Logic 
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Literature cited

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    R. Grayson, "Heyting-valued models for intuitionistic set theory," Lect. Notes Math.,753, 402–414 (1979).Google Scholar
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    P. S. Novikov, "On some existence theorems (1939)," in: Izbrannye Trudy [in Russian], Nauka, Moscow (1979).Google Scholar
  3. 3.
    V. A. Lyubetskii, "Valuations and sheaves. On some questions of nonstandard analysis," Usp. Mat. Nauk,44, No. 4, 99–153 (1989).Google Scholar
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    M. P. Fourman and D. S. Scott, "Sheaves and logic," Lect. Notes Math.,753, 302–401 (1979).Google Scholar
  5. 5.
    V. A. Lyubetskii, "Some applications of the theory of toposes in the study of algebraic systems," in: P. T. Johnson, Topos Theory [Russian translation], Nauka, Moscow (1986), pp. 376–433.Google Scholar
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    V. A. Lyubetskii, "Intuitionistic theory of algebraic systems and nonstandard analysis," Algebra Logika,30, No. 3, 320–332 (1991).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • V. A. Lyubetskii
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the USSRUSSR

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