Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 2, Pages 13–19 (Mi vmumm52)  
Mathematics

Constructive theory of enumerable species

V. E. Plisko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A construcrive semantics for the language of the set theory with atoms based on interpreting set variables by enumerable species is defined. The soundness of the axioms of the Zermelo–Fraenkel set theory with this semantics is completely studied.
Key words: intuitionism, set theory, species, enumerable set, recursive realizability.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00127
Received: 01.06.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 2, Pages 55–60
DOI: https://doi.org/10.3103/S0027132217020036
Bibliographic databases:
Document Type: Article
UDC: 510.25, 510.54
Language: Russian
Citation: V. E. Plisko, “Constructive theory of enumerable species”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 2, 13–19; Moscow University Mathematics Bulletin, 72:2 (2017), 55–60
Citation in format AMSBIB
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