Document Open Access Logo

Analysing Survey Propagation Guided Decimationon Random Formulas

Author Samuel Hetterich

Thumbnail PDF


  • Filesize: 0.52 MB
  • 12 pages

Document Identifiers

Author Details

Samuel Hetterich

Cite AsGet BibTex

Samuel Hetterich. Analysing Survey Propagation Guided Decimationon Random Formulas. In 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 55, pp. 65:1-65:12, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2016)


Let vec(theta) be a uniformly distributed random k-SAT formula with n variables and m clauses. For clauses/variables ratio m/n <= r_{k-SAT} ~ 2^k*ln(2) the formula vec(theta) is satisfiable with high probability. However, no efficient algorithm is known to provably find a satisfying assignment beyond m/n ~ 2k*ln(k)/k with a non-vanishing probability. Non-rigorous statistical mechanics work on k-CNF led to the development of a new efficient "message passing algorithm" called Survey Propagation Guided Decimation [Mézard et al., Science 2002]. Experiments conducted for k=3,4,5 suggest that the algorithm finds satisfying assignments close to r_{k-SAT}. However, in the present paper we prove that the basic version of Survey Propagation Guided Decimation fails to solve random k-SAT formulas efficiently already for m/n = 2^{k}(1 + epsilon_k)*ln(k)/k with lim_{k -> infinity} epsilon_k = 0 almost a factor k below r_{k-SAT}.
  • Survey Propagation Guided Decimation
  • Message Passing Algorithm
  • Graph Theory
  • Random k-SAT


  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    PDF Downloads
Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail