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Matematicheskie Zametki, 2011, Volume 89, Issue 5, Pages 658–672
DOI: https://doi.org/10.4213/mzm8547 (Mi mzm8547) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Effectivity Properties of Intuitionistic Set Theory with Collection Scheme

A. G. Vladimirov

Maimonid State Classical Academy, Moscow
Full-text PDF (504 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8547
Abstract: Intuitionistic set theory with collection scheme is considered. Its various effectivity properties are proved by using the method of realizability.
Keywords: intuitionistic set theory, two-sorted language, collection scheme, effectivity properties of set theory, Markov's principle, Church's thesis, uniformization principle, Kleene recursive realizability.
Received: 22.08.2009
Revised: 07.11.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 619–632
DOI: https://doi.org/10.1134/S0001434611050038
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: A. G. Vladimirov, “Effectivity Properties of Intuitionistic Set Theory with Collection Scheme”, Mat. Zametki, 89:5 (2011), 658–672; Math. Notes, 89:5 (2011), 619–632
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm8547
  • https://doi.org/10.4213/mzm8547
  • https://www.mathnet.ru/eng/mzm/v89/i5/p658
    • This publication is cited in the following 1 articles:
    1. A. Vladimirov, “Certain Partial Conservativeness Properties of Intuitionistic Set Theory with the Principle of Double Complement of Sets”, Math. Notes, 103:3 (2018), 378–394  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:62
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