Discrete Mathematics & Theoretical Computer Science, Vol 4, No 2 (2001)

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DMTCS vol 4 no 2 (2001), pp. 79-90

Discrete Mathematics & Theoretical Computer Science


Volume 4 n° 2 (2001), pp. 79-90

author:Anna Bernasconi
title:On a hierarchy of Boolean functions hard to compute in constant depth
keywords:Boolean functions, AC0 circuits, size complexity, harmonic analysis
abstract:Any attempt to find connections between mathematical properties and complexity has a strong relevance to the field of Complexity Theory. This is due to the lack of mathematical techniques to prove lower bounds for general models of computation.
This work represents a step in this direction: we define a combinatorial property that makes Boolean functions ``hard'' to compute in constant depth and show how the harmonic analysis on the hypercube can be applied to derive new lower bounds on the size complexity of previously unclassified Boolean functions.
reference: Anna Bernasconi (2001), On a hierarchy of Boolean functions hard to compute in constant depth, Discrete Mathematics and Theoretical Computer Science 4, pp. 79-90
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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