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Matematicheskie Zametki, 2015, Volume 98, Issue 5, Pages 725–746
DOI: https://doi.org/10.4213/mzm10735 (Mi mzm10735) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On Hyperarithmetical Realizability

A. Yu. Konovalov, V. E. Plisko

Lomonosov Moscow State University
Full-text PDF (568 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm10735
Abstract: The notion of hyperarithmetical realizability is introduced for various extensions of the language of formal arithmetic. The correctness of classical, intuitionistic, and basic logic with respect to the semantics based on hyperarithmetical realizability is studied.
Keywords: hyperarithmetical realizability, formal arithmetic, hyperarithmetical set, hyperarithmetical predicate, hyperarithmetical function, Gödel number, universal function.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00127
Received: 13.03.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 5, Pages 778–797
DOI: https://doi.org/10.1134/S0001434615110073
Bibliographic databases:
Document Type: Article
UDC: 510.25+510.64
Language: Russian
Citation: A. Yu. Konovalov, V. E. Plisko, “On Hyperarithmetical Realizability”, Mat. Zametki, 98:5 (2015), 725–746; Math. Notes, 98:5 (2015), 778–797
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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