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An Upper Bound on the Space Complexity of Random Formulae in Resolution

Published online by Cambridge University Press:  15 February 2003

Michele Zito
Michele Zito*
Affiliation:
Department of Computer Science, University of Liverpool, Chadwick Building, Peach Street, Liverpool L69 7ZF, UK; [email protected].
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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 = Δn clauses is $O\left(n \cdot \Delta^{-\frac{1}{k-2}}\right)$.

Keywords

Random formulaespace complexitysatisfiability threshold.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 36 , Issue 4 , October 2002 , pp. 329 - 339
Copyright
© EDP Sciences, 2002

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