An upper bound on the space complexity of random formulae in resolution
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 36 (2002) no. 4, pp. 329-339.

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 $O\left(n·{\Delta }^{-\frac{1}{k-2}}\right)$.

DOI : https://doi.org/10.1051/ita:2003003
Classification : 68Q25,  03B05,  03F20
Mots clés : random formulae, space complexity, satisfiability threshold
@article{ITA_2002__36_4_329_0,
author = {Zito, Michele},
title = {An upper bound on the space complexity of random formulae in resolution},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {329--339},
publisher = {EDP-Sciences},
volume = {36},
number = {4},
year = {2002},
doi = {10.1051/ita:2003003},
zbl = {1034.68050},
mrnumber = {1965420},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ita:2003003/}
}
Zito, Michele. An upper bound on the space complexity of random formulae in resolution. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 36 (2002) no. 4, pp. 329-339. doi : 10.1051/ita:2003003. http://www.numdam.org/articles/10.1051/ita:2003003/

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