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Intelligent systems. Theory and applications, 2018, Volume 22, Issue 3, Pages 41–44 (Mi ista148)  
This article is cited in 1 scientific paper (total in 1 paper)

The intuitionistic logic is not sound with $L$-realizability

A. Yu. Konovalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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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.
Keywords: constructive semantics, realizability, absolute realizability, formal arithmetic, intuitionistic logic.
Document Type: Article
Language: Russian
Citation: A. Yu. Konovalov, “The intuitionistic logic is not sound with $L$-realizability”, Intelligent systems. Theory and applications, 22:3 (2018), 41–44
Citation in format AMSBIB
\Bibitem{Kon18}
\by A.~Yu.~Konovalov
\paper The intuitionistic logic is not sound with $L$-realizability
\jour Intelligent systems. Theory and applications
\yr 2018
\vol 22
\issue 3
\pages 41--44
\mathnet{http://mi.mathnet.ru/ista148}
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  • https://www.mathnet.ru/eng/ista148
  • https://www.mathnet.ru/eng/ista/v22/i3/p41
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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