# 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, AC circuits, size complexity, harmonic analysis^{0} |

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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Automatically produced on Tue Oct 30 12:57:30 CET 2001 by gustedt