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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)
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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}
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    • 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
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