Succinct Representations of Functions

Succinct Representations of Functions
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函数的简洁表示

DOI:
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发表时间:
2004
期刊:
International Colloquium on Automata, Languages and Programming
影响因子:
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通讯作者:
S. Rao
S. Rao
中科院分区:
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文献类型:
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作者:
J. Munro;S. Rao

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We investigate the problem of succinctly representing an arbitrary function, f: [n] →[n] so that f k (i) can be computed quickly for any i and any (positive or negative) integer power k. We give a representation that takes ((1+epsilon) n lg n + O(1)) bits and computes arbitrary positive powers in constant time. It can also be used to compute f k (i), for any negative integer k, in O(1+|f k (i)|) time.