An upper bound on the space complexity of random formulae in resolution

Michele Zito

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2002)

  • Volume: 36, Issue: 4, page 329-339
  • ISSN: 0988-3754

Abstract

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We prove that, with high probability, the space complexity of refuting a random unsatisfiable Boolean formula in k -CNF on n variables and m = Δ n clauses is O n · Δ - 1 k - 2 .

How to cite

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Zito, Michele. "An upper bound on the space complexity of random formulae in resolution." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 36.4 (2002): 329-339. <http://eudml.org/doc/245633>.

@article{Zito2002,
abstract = {We prove that, with high probability, the space complexity of refuting a random unsatisfiable Boolean formula in $k$-CNF on $n$ variables and $m = \Delta n$ clauses is $O\left(n \cdot \Delta ^\{-\frac\{1\}\{k-2\}\}\right)$.},
author = {Zito, Michele},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {random formulae; space complexity; satisfiability threshold; random unsatisfiable Boolean formula},
language = {eng},
number = {4},
pages = {329-339},
publisher = {EDP-Sciences},
title = {An upper bound on the space complexity of random formulae in resolution},
url = {http://eudml.org/doc/245633},
volume = {36},
year = {2002},
}

TY - JOUR
AU - Zito, Michele
TI - An upper bound on the space complexity of random formulae in resolution
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2002
PB - EDP-Sciences
VL - 36
IS - 4
SP - 329
EP - 339
AB - We prove that, with high probability, the space complexity of refuting a random unsatisfiable Boolean formula in $k$-CNF on $n$ variables and $m = \Delta n$ clauses is $O\left(n \cdot \Delta ^{-\frac{1}{k-2}}\right)$.
LA - eng
KW - random formulae; space complexity; satisfiability threshold; random unsatisfiable Boolean formula
UR - http://eudml.org/doc/245633
ER -

References

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