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- W589337580 abstract "Boolean functions are closely reltated to hypergraphs. In fact, Ibaraki and Kameta (1993) sutudied relations between coteries (intersecting simple hypergraphs) and positive Boolean functions. In this paper, we shall show that the set of all simple hypergraphs is lattice-isomorphic to the set of all positive Boolean functions. A decompositions of a given function into a conjunction of self-dual functions were studied by Ibaraki, Kameta (1993) and Bioch, Ibaraki (1995). For a given dual-minor function, using a certain corresponding hypergraph, we shall give the general condition for the decomposition." @default.
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- W589337580 date "1999-02-02" @default.
- W589337580 modified "2023-10-18" @default.
- W589337580 title "Decompositions of Boolean functions and hypergraphs" @default.
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