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The boolean hierarchy : hardware over NP
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The boolean hierarchy : hardware over NP

著者: Jin-yi Cai; Lane A Hemachandra
出版商: Ithaca, New York : Cornell University, Dept. of Computer Science, 1985.
丛书: Cornell University.; Dept. of Computer Science.; Technical report.
版本/格式:   图书 : 英语
提要:
In this paper, we study the complexity of sets formed by boolean operations $(\bigcup, \bigcap, $ and complementation) on NP sets. These are the sets accepted by trees of hardware with NP predicates as leaves, and together form the boolean hierarchy.
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所有的著者/提供者: Jin-yi Cai; Lane A Hemachandra
OCLC号码: 14706046
描述: [2], 69 p. ; 28 cm.
丛书名: Cornell University.; Dept. of Computer Science.; Technical report.
责任: Jin-yi Cai, Lane Hemachandra.

摘要:

In this paper, we study the complexity of sets formed by boolean operations $(\bigcup, \bigcap, $ and complementation) on NP sets. These are the sets accepted by trees of hardware with NP predicates as leaves, and together form the boolean hierarchy.

We present many results about the boolean hierarchy: separation and immunity results, complete languages, upward separations, connections to sparse oracles for NP, and structural asymmetries between complementary classes. Some results present new ideas and techniques. Others put previous results about NP and $D[superscript]{P}$ in a richer perspective. Throughout, we emphasize the structure of the boolean hierarchy and its relations with more common classes.

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