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

Zito, Michele

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

Classification : 68Q25, 03B05, 03F20
Mots clés : random formulae, space complexity, satisfiability threshold

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