Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2006, Volume 340, Pages 10–32 (Mi znsl148)  
This article is cited in 6 scientific papers (total in 6 papers)

Lower bounds of static Lovász–Schrijver calculus proofs for Tseitin tautologies

D. M. Itsyksona, A. A. Kojevnikovb

a Saint-Petersburg State University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (299 kB) Citations (6)
References:
PDF
HTML
Abstract: We prove an exponential lower bound on the size of static Lovász-Schrijver proofs of Tseitin tautologies. We use several techniques, namely, translating a static $LS_+$ proof into a Positivstellensatz proof of Grigoriev et al., extracting a “good” expander out of a given graph by removing edges and vertices of Alekhnovich et al., and proving linear lower bound on the degree of Positivstellensatz proofs for Tseitin tautologies.
Received: 28.07.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 145, Issue 3, Pages 4942–4952
DOI: https://doi.org/10.1007/s10958-007-0329-5
Bibliographic databases:
UDC: 510.52, 519.1
Language: Russian
Citation: D. M. Itsykson, A. A. Kojevnikov, “Lower bounds of static Lovász–Schrijver calculus proofs for Tseitin tautologies”, Combinatorics and graph theory. Part I, Zap. Nauchn. Sem. POMI, 340, POMI, St. Petersburg, 2006, 10–32; J. Math. Sci. (N. Y.), 145:3 (2007), 4942–4952
Citation in format AMSBIB
\Bibitem{ItsKoj06}
\by D.~M.~Itsykson, A.~A.~Kojevnikov
\paper Lower bounds of static Lov\'asz--Schrijver calculus proofs for Tseitin tautologies
\inbook Combinatorics and graph theory. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 340
\pages 10--32
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2355483}
\zmath{https://zbmath.org/?q=an:1122.03057}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 145
\issue 3
\pages 4942--4952
\crossref{https://doi.org/10.1007/s10958-007-0329-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547672951}
Linking options:
  • https://www.mathnet.ru/eng/znsl148
  • https://www.mathnet.ru/eng/znsl/v340/p10
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:237
    Full-text PDF :86
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024