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



Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find






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


Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 618–637 (Mi semr1082)  

Mathematical logic, algebra and number theory

About effective versions of game theoretical semantics for first-order logic

I. Yu. Shevchenko

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia

Abstract: In the article we compare two approaches to effectivisation of game theoretical semantics for first-order logic. One of the approaches was provided by Sergey P. Odintsov, Stanislav O. Speranski, Igor Yu. Shevchenko in the previous article, and it is based on a game-theoretical reconstruction of strategy conception. In this article we provide the other approach — we consider a strategy as a function determined on a set of histories and then we set an equivalence between these two approaches.

Keywords: game theoretical semantics, Nelson's realizability, computability.

DOI: https://doi.org/10.33048/semi.2019.16.040

Full text: PDF file (238 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 510.64
MSC: 03B60,03C80,03F65
Received July 29, 2018, published May 15, 2019

Citation: I. Yu. Shevchenko, “About effective versions of game theoretical semantics for first-order logic”, Sib. Èlektron. Mat. Izv., 16 (2019), 618–637

Citation in format AMSBIB
\Bibitem{She19}
\by I.~Yu.~Shevchenko
\paper About effective versions of game theoretical semantics for first-order logic
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 618--637
\mathnet{http://mi.mathnet.ru/semr1082}
\crossref{https://doi.org/10.33048/semi.2019.16.040}


Linking options:
  • http://mi.mathnet.ru/eng/semr1082
  • http://mi.mathnet.ru/eng/semr/v16/p618

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:38
    Full text:13
    References:8

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019