Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 499, Pages 26–30
DOI: https://doi.org/10.31857/S2686954321040081 (Mi danma19) 		 
MATHEMATICS

On a strengthening of the non-isomorphism theorem for provability algebras

E. A. Kolmakovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (223 kB)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954321040081
Abstract: We prove a strengthened version of V. Shavrukov’s result on the non-isomorphism of provability algebras of two $\Sigma_1$-sound theories, based on the improvements previously discovered by G. Adamsson. We then obtain several corollaries to the strengthened result by applying it to various pairs of theories and obtain new non-isomorphism examples. In particular, we show that there are no epimorphisms from $(\mathfrak{L}_T,\square_T\square_T)$ onto $(\mathfrak{L}_T,\square_T)$.
Keywords: provability predicate, provability algebra, reflection principle.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-9005
The reported study was funded by the Russian Foundation for Basic Research, project no. 19-31-90050.
Presented: L. D. Beklemishev
Received: 29.04.2021
Revised: 29.04.2021
Accepted: 15.05.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 180–183
DOI: https://doi.org/10.1134/S1064562421040086
Bibliographic databases:
Document Type: Article
UDC: 510.6
Language: Russian
Citation: E. A. Kolmakov, “On a strengthening of the non-isomorphism theorem for provability algebras”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 26–30; Dokl. Math., 104:1 (2021), 180–183
Citation in format AMSBIB
\Bibitem{Kol21}
\by E.~A.~Kolmakov
\paper On a strengthening of the non-isomorphism theorem for provability algebras
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2021
\vol 499
\pages 26--30
\mathnet{http://mi.mathnet.ru/danma19}
\crossref{https://doi.org/10.31857/S2686954321040081}
\zmath{https://zbmath.org/?q=an:7427861}
\elib{https://elibrary.ru/item.asp?id=46532749}
\transl
\jour Dokl. Math.
\yr 2021
\vol 104
\issue 1
\pages 180--183
\crossref{https://doi.org/10.1134/S1064562421040086}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000715838500006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118748038}
Linking options:
  • https://www.mathnet.ru/eng/danma19
  • https://www.mathnet.ru/eng/danma/v499/p26
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:93
    Full-text PDF :16
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024