Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 1, Pages 60–64 (Mi vmumm4304)  
This article is cited in 3 scientific papers (total in 3 papers)

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Generalized realizability and the Markov principle

A. Yu. Konovalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (160 kB) Citations (3)
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Abstract: Various variants of the notion of the $V$-realizability for predicate formulas are defined, where indices of functions in the set $V$ are used for interpreting the implication and the universal quantifier. It is proved that Markov's principle is weakly $V$-realizable, not uniformly $V$-realizable, and uniformly $V$-realizable in any $V$-enumerable domain $M \subseteq \mathbb N$.
Key words: constructive semantics, realizability, absolute realizability, generalized realizability, Markov's principle.
Received: 11.07.2018
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 1, Pages 38–41
DOI: https://doi.org/10.3103/S0027132220010064
Bibliographic databases:
Document Type: Article
UDC: 510.25; 510.64
Language: Russian
Citation: A. Yu. Konovalov, “Generalized realizability and the Markov principle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 1, 60–64; Moscow University Mathematics Bulletin, 75:1 (2020), 38–41
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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