Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 2, Pages 50–53 (Mi vmumm615)  
This article is cited in 6 scientific papers (total in 6 papers)

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Absolute $L$-realizability and intuitionistic logic

A. Yu. Konovalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (139 kB) Citations (6)
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Abstract: An absolute $L$-realizability of predicate formulas is introduced for all countable extensions $L$ of the language of arithmetic. It is proved that the intuitionistic logic is not sound with this semantics.
Key words: constructive semantics, realizability, absolute realizability, formal arithmetic, intuitionistic logic.
Received: 20.06.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 2, Pages 79–82
DOI: https://doi.org/10.3103/S0027132219020086
Bibliographic databases:
Document Type: Article
UDC: 510.25+510.64
Language: Russian
Citation: A. Yu. Konovalov, “Absolute $L$-realizability and intuitionistic logic”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 2, 50–53; Moscow University Mathematics Bulletin, 74:2 (2019), 79–82
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:34
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