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» Separation of NP-Completeness Notions
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ECCC
2002
68views more  ECCC 2002»
13 years 4 months ago
Bi-Immunity Separates Strong NP-Completeness Notions
We prove that if for some > 0, NP contains a set that is DTIME(2n )-bi-immune, then NP contains a set that is 2-Turing complete for NP (hence 3-truth-table complete) but not 1-t...
Aduri Pavan, Alan L. Selman
COCO
2001
Springer
102views Algorithms» more  COCO 2001»
13 years 9 months ago
Separation of NP-Completeness Notions
We use hypotheses of structural complexity theory to separate various NP-completeness notions. In particular, we introduce an hypothesis from which we describe a set in NP that is...
Aduri Pavan, Alan L. Selman
CCA
2009
Springer
13 years 11 months ago
Separations of Non-monotonic Randomness Notions
In the theory of algorithmic randomness, several notions of random sequence are defined via a game-theoretic approach, and the notions that received most attention are perhaps Mar...
Laurent Bienvenu, Rupert Hölzl, Thorsten Kr&a...
STACS
2010
Springer
13 years 11 months ago
Collapsing and Separating Completeness Notions under Average-Case and Worst-Case Hypotheses
This paper presents the following results on sets that are complete for NP. (i) If there is a problem in NP that requires 2nΩ(1) time at almost all lengths, then every many-one N...
Xiaoyang Gu, John M. Hitchcock, Aduri Pavan
CRYPTO
1998
Springer
117views Cryptology» more  CRYPTO 1998»
13 years 8 months ago
Relations Among Notions of Security for Public-Key Encryption Schemes
ded abstract of this paper appears in Advances in Cryptology { Crypto 98 Proceedings, Lecture Notes in Computer Science Vol. 1462, H. Krawczyk ed., Springer-Verlag, 1998. This is t...
Mihir Bellare, Anand Desai, David Pointcheval, Phi...