Algebra i logika
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



Algebra Logika:
Year:
Volume:
Issue:
Page:
Find






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


Algebra i logika, 2019, Volume 58, Number 2, Pages 271–284
DOI: https://doi.org/10.33048/alglog.2019.58.208
(Mi al894)
 

Repetition-free functions of the algebra of logic in pre-elementary bases

I. K. Sharankhaev
References:
Abstract: Functions of the algebra of logic that can be realized by repetition-free formulas over finite bases are studied. Necessary and sufficient conditions are derived under which functions of the algebra of logic are repetition-free in pre-elementary bases $\{-,\cdot,\vee,0,1,x_1\cdot\ldots\cdot x_n\vee \bar{x}_1\cdot\ldots\cdot \bar{x}_n\}$ and $\{-,\cdot,\vee,0,1,x_1(x_2\vee x_3\cdot\ldots\cdot x_n)\vee x_2\bar{x}_3 \cdot\ldots\cdot\bar{x}_n\}$ where $n\geq 4$. This completes the description of classes of repetition-free functions of the algebra of logic in all pre-elementary bases.
Keywords: functions of algebra of logic, repetition-free function, pre-elementary basis, formula.
Funding agency
Supported by a grant of Buryat State University.
Received: 26.11.2017
Revised: 09.07.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 2, Pages 186–195
DOI: https://doi.org/10.1007/s10469-019-09536-0
Bibliographic databases:
Document Type: Article
UDC: 519.71
Language: Russian
Citation: I. K. Sharankhaev, “Repetition-free functions of the algebra of logic in pre-elementary bases”, Algebra Logika, 58:2 (2019), 271–284; Algebra and Logic, 58:2 (2019), 186–195
Citation in format AMSBIB
\Bibitem{Sha19}
\by I.~K.~Sharankhaev
\paper Repetition-free functions of the algebra of logic in pre-elementary
bases
\jour Algebra Logika
\yr 2019
\vol 58
\issue 2
\pages 271--284
\mathnet{http://mi.mathnet.ru/al894}
\crossref{https://doi.org/10.33048/alglog.2019.58.208}
\transl
\jour Algebra and Logic
\yr 2019
\vol 58
\issue 2
\pages 186--195
\crossref{https://doi.org/10.1007/s10469-019-09536-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000479251100008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85069464605}
Linking options:
  • https://www.mathnet.ru/eng/al894
  • https://www.mathnet.ru/eng/al/v58/i2/p271
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024