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Algebra i logika, 2020, Volume 59, Number 5, Pages 542–566
DOI: https://doi.org/10.33048/alglog.2020.59.503 (Mi al2633) 		 
This article is cited in 5 scientific papers (total in 5 papers)

General recursive realizability and basic logic

A. Yu. Konovalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (281 kB) Citations (5)
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DOI: https://doi.org/10.33048/alglog.2020.59.503
Abstract: The notion of general recursive realizability is defined based on using indices of general recursive functions as a constructive way of obtaining some realizations from others. The soundness of basic logic with respect to the semantics of general recursive realizability is proved.
Keywords: realizability, absolute realizability, subrecursive realizability, basic logic.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00670
A. Yu. Konovalov is Supported by RFBR, project No. 20-01-00670.
Received: 21.08.2019
Revised: 27.11.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 5, Pages 367–384
DOI: https://doi.org/10.1007/s10469-020-09610-y
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: A. Yu. Konovalov, “General recursive realizability and basic logic”, Algebra Logika, 59:5 (2020), 542–566; Algebra and Logic, 59:5 (2020), 367–384
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    References:21
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