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Heyting valued universes of intuitionistic set theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 891)

Keywords

  • Induction Hypothesis
  • Heyting Algebra
  • Sheaf Representation
  • Uniqueness Principle
  • Logical Symbol

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References

  1. M. P. Fourman and D. S. Scott: Sheaves and Logic. Applications of Sheaves ed. by Fourman, Mulvey and Scott, pp 302–401. Lecture Notes in Mathematics 753, Springer, 1979.

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  2. R. J. Grayson: Heyting valued models for intuitionistic set theory. Ibid. pp 402–414.

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  3. R. J. Grayson: A sheaf approach to models of set theory. M. Sc. Thesis, Oxford 1975.

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  4. D. S. Scott: Lectures on Boolean-valued models for set theory. Lecture notes of the U. C. L. A. Summer Institute on Set Theory, 1967.

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  5. R. M. Solovey and S. Tennenbaum: Iterated Cohen extensions and Souslin's problem. Annals of Math., Vol. 94, pp 201–245, 1971.

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© 1981 Springer-Verlag

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Takeuti, G., Titani, S. (1981). Heyting valued universes of intuitionistic set theory. In: Müller, G.H., Takeuti, G., Tugué, T. (eds) Logic Symposia Hakone 1979, 1980. Lecture Notes in Mathematics, vol 891. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090986

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  • DOI: https://doi.org/10.1007/BFb0090986

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11161-0

  • Online ISBN: 978-3-540-38633-9

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