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Relative Definability of Boolean Functions via Hypergraphs  (Make Corrections)  
Antonio Bucciarelli
Theoretical Computer Science



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Abstract: The aim of this work is to show how hypergraphs can be used as a sistematic tool in the classi cation of continous boolean functions according to their degree of parallelism. Intuitively f is \less parallel" than g if it can be de ned 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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