Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{GonSvi18}
\by S.~S.~Goncharov, D.~I.~Sviridenko
\paper Recursive terms in semantic programming
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 6
\pages 1279--1290
\mathnet{http://mi.mathnet.ru/smj3043}
\crossref{https://doi.org/10.17377/smzh.2018.59.605}
\elib{https://elibrary.ru/item.asp?id=38643297}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 6
\pages 1014--1023
\crossref{https://doi.org/10.1134/S0037446618060058}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454441000005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85059737149}
Linking options:
  • https://www.mathnet.ru/eng/smj3043
  • https://www.mathnet.ru/eng/smj/v59/i6/p1279
    • 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
    Statistics & downloads:
    Abstract page:362
    Full-text PDF :107
    References:46
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024