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» Derandomization and Distinguishing Complexity
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SIGACT
2010
74views more  SIGACT 2010»
13 years 3 months ago
Typically-correct derandomization
A fundamental question in complexity theory is whether every randomized polynomial time algorithm can be simulated by a deterministic polynomial time algorithm (that is, whether B...
Ronen Shaltiel
CSR
2011
Springer
12 years 8 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov
APAL
2004
105views more  APAL 2004»
13 years 5 months ago
Dual weak pigeonhole principle, Boolean complexity, and derandomization
We study the extension (introduced as BT in [5]) of the theory S1 2 by instances of the dual (onto) weak pigeonhole principle for p-time functions, dWPHP(PV )x x2 . We propose a n...
Emil Jerábek
ECCC
2010
103views more  ECCC 2010»
13 years 6 days ago
A note on exponential circuit lower bounds from derandomizing Arthur-Merlin games
We present an alternate proof of the recent result by Gutfreund and Kawachi that derandomizing Arthur-Merlin games into PNP implies linear-exponential circuit lower bounds for ENP...
Scott Aaronson, Baris Aydinlioglu, Harry Buhrman, ...
FOCS
1997
IEEE
13 years 9 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran