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Abstract: Assuming that k 2 and \Delta k does not have p-measure 0, it is shown that BP \Delta \Delta k . This implies that the following conditions hold if \Delta 2 does not have p-measure 0. (Update)
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0.4: Observations on Measure and Lowness for . . . - Lutz (1996) (Correct)
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0.2: Resource Bounded Measure Bibliography - Hitchcock (2003) (Correct)
BibTeX entry: (Update)
@misc{ lutz-observations,
author = "Jack H. Lutz",
title = "Observations on Measure and Lowness for Δ_2^p",
url = "citeseer.ist.psu.edu/704956.html" }
Citations (may not include all citations):150 Computational Complexity (context) - Papadimitriou - 1994
142 Almost everywhere high nonuniform complexity - Lutz - 1992
129 Theoretical Computer Science (context) - Stockmeyer, hierarchy - 1977
128 A complexity-theoretic approach to randomness (context) - Sipser - 1983
116 Some connections between nonuniform and uniform complexity c.. (context) - Karp, Lipton - 1980
71 The quantitative structure of exponential time - Lutz - 1993
70 Introduction to the Theory of Complexity (context) - Bovet, Crescenzi - 1994
66 Structural Complexity (context) - Balc'azar, D'iaz et al. - 1994
52 Journal of Computer and System Sciences (context) - Nisan, Wigderson et al. - 1994
49 Almost every set in exponential time is P-bi-immune - Mayordomo - 1994
44 Relativized circuit complexity (context) - Wilson - 1985
43 Complete sets and the polynomial-time hierarchy (context) - Wrathall - 1977
42 The complexity and distribution of hard problems - Juedes, Lutz - 1995
37 Information Processing Letters (context) - Lautemann, the - 1983
35 and the density of hard languages (context) - Lutz, Mayordomo et al. - 1994
33 Cook versus Karp-Levin: Separating completeness notions if N.. - Lutz, Mayordomo - 1996
30 Resource-bounded measure (context) - Lutz
25 The complexity of decision versus search - Bellare, Goldwasser - 1994
23 On circuit-size complexity and the low hierarchy in NP (context) - Ko, Schoning - 1985
20 Probabilistic complexity classes and lowness (context) - Schoning - 1989
18 Weakly hard problems - Lutz - 1995
17 Graph isomorphism is in the low hierarchy (context) - Schoning - 1988
17 Measure on small complexity classes with applications for BP.. - Allender, Strauss - 1994
15 Circuit size relative to pseudorandom oracles - Lutz, Schmidt - 1993
15 The Graph Isomorphism Problem (context) - Kobler, Schoning et al. - 1993
14 Contributions to the Study of Resource-Bounded Measure - Mayordomo - 1994
14 A decisive characterization of BPP (context) - Zachos, Heller - 1986
14 A low and high hierarchy within NP (context) - Schoning - 1983
10 the structure of low sets - Kobler - 1995
9 A pseudorandom oracle characterization of BPP - Lutz - 1993
9 Completeness and weak completeness under polynomial-size cir.. - Juedes, Lutz - 1996
8 The Complexity and Distribution of Computationally Useful Pr.. (context) - Juedes - 1994
6 An upward measure separation theorem - Lutz - 1991
5 New collapse consequences of NP having small circuits - Kobler, Watanabe - 1995
4 Generalized lowness and highness and probabilistic classes - Klapper - 1989
2 Separating and collapsing results on the relativized probabi.. (context) - Ko - 1990
Documents on the same site (http://www.cs.iastate.edu/~lutz/papers.html): More
Observations on Measure and Lowness for . . . - Lutz (1996) (Correct)
A Small Span Theorem for P/Poly-Turing Reductions - Lutz (Correct)
Kolmogorov Complexity, Complexity Cores, and the Distribution.. - Juedes, Lutz (Correct)
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