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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 6, Pages 1279–1290
DOI: https://doi.org/10.17377/smzh.2018.59.605 (Mi smj3043) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Recursive terms in semantic programming

S. S. Goncharov, D. I. Sviridenko

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (315 kB) Citations (9)
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DOI: https://doi.org/10.17377/smzh.2018.59.605
Abstract: For constructing an enrichment of a language with restricted quantifiers, we extend the notion of term by the construction of the terms conditional and recursive with respect to lists. We show that the so-obtained extension of the language of formulas with restricted quantifiers over structures with hereditary finite lists is a conservative enrichment and the new terms are $\Delta$-definable in the basic language.
Keywords: formula, term, restricted quantifier, $\Delta_0$-formula, $\Delta$-formula, $\Sigma$-formula, semantic programming, computability, computability over abstract structures, conditional term, recursive term, model, hereditary finite list, hereditary finite set.
Funding agency Grant number
Russian Science Foundation 17-11-01176
The authors were supported by the Russian Science Foundation (Grant 17-11-01176).
Received: 17.03.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 6, Pages 1014–1023
DOI: https://doi.org/10.1134/S0037446618060058
Bibliographic databases:
Document Type: Article
UDC: 510.2+510.3+510.6+51.8+004.8
Language: Russian
Citation: S. S. Goncharov, D. I. Sviridenko, “Recursive terms in semantic programming”, Sibirsk. Mat. Zh., 59:6 (2018), 1279–1290; Siberian Math. J., 59:6 (2018), 1014–1023
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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