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Titlebook: Randomness and Completeness in Computational Complexity; Dieter Melkebeek Book 2000 Springer-Verlag Berlin Heidelberg 2000 Algorithms.Comp

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發(fā)表于 2025-3-23 11:20:35 | 只看該作者
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發(fā)表于 2025-3-24 07:46:50 | 只看該作者
2. Preliminaries,Computational complexity delineates which problems computers can realistically solve. After describing the notion of a computational problem and giving some important examples, we will formalize the various computer models we will consider. We will introduce relevant resources for each of them and d
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發(fā)表于 2025-3-24 14:35:38 | 只看該作者
3. Derandomizing Arthur-Merlin Games,ool is relativization: We will show that known hardness versus randomness trade-offs relativize. As a corollary, we obtain that graph nonisomorphism has subexponential size proofs unless the polynomial-time hierarchy collapses. Applications of the same technique to various randomized processes other
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發(fā)表于 2025-3-24 16:40:47 | 只看該作者
4. Sparseness of Complete Languages,with low density. Our main result establishes the logical completeness of this approach for separating polynomial time from logarithmic space using reductions with a bounded number of queries. Similar techniques apply to various other complexity classes, in the deterministic as well as in the random
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發(fā)表于 2025-3-25 03:00:02 | 只看該作者
8. The Frequency of Autoreducible Languages,nded measure, as well as within the context of betting games, a notion which we will develop here and which provides an alternate to resourcebounded measure. Several approaches for separating BPP from EXP will come up. problem
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