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Abstract: The aim of this work is to show how hypergraphs can be used as a sistematic
tool in the classication of continous boolean functions according to their degree of
parallelism. Intuitively f is \less parallel" than g if it can be dened by a sequential
program using g as its only free variable. It turns out that the poset induced by this
preorder is (as for the degrees of recursion) a sup-semilattice.
Although hypergraphs had already been used in [6] as a tool for studying degrees
of... (Update)
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BibTeX entry: (Update)
@article{ bucciarelli02relative,
author = "Antonio Bucciarelli and Pasquale Malacaria",
title = "Relative definability of boolean functions via hypergraphs",
journal = "Theoretical Computer Science",
volume = "278",
number = "1-2",
pages = "91-110",
year = "2002",
url = "citeseer.ist.psu.edu/500228.html" }
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