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Algebra i logika, 2021, Volume 60, Number 2, Pages 137–144
DOI: https://doi.org/10.33048/alglog.2021.60.202 (Mi al2654) 		 
This article is cited in 2 scientific papers (total in 2 papers)

General recursive realizability and intuitionistic logic

A. Yu. Konovalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (191 kB) Citations (2)
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DOI: https://doi.org/10.33048/alglog.2021.60.202
Abstract: We continue to study into the notion of general recursive realizability, which was introduced in [Algebra and Logic, 59, No. 5 (2020), 367—384], based on using indices of general recursive functions as a constructive way of obtaining some realizations from others. It is proved that intuitionistic logic is not sound with respect to a weaker version of the semantics of general recursive realizability.
Keywords: general recursive realizability, intuitionistic logic.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2020-801
Supported by RF Ministry of Education and Science, grant No. 075-15-2020-801.
Received: 09.12.2020
Revised: 24.08.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 2, Pages 89–94
DOI: https://doi.org/10.1007/s10469-021-09631-1
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: A. Yu. Konovalov, “General recursive realizability and intuitionistic logic”, Algebra Logika, 60:2 (2021), 137–144; Algebra and Logic, 60:2 (2021), 89–94
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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