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» On Superlinear Lower Bounds in Complexity Theory
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AI
2005
Springer
15 years 11 days ago
First order LUB approximations: characterization and algorithms
One of the major approaches to approximation of logical theories is the upper and lower bounds approach introduced in (Selman and Kautz, 1991, 1996). In this paper, we address the...
Alvaro del Val
151
Voted
AML
2011
204views Mathematics» more  AML 2011»
14 years 7 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
99
Voted
STOC
1994
ACM
123views Algorithms» more  STOC 1994»
15 years 4 months ago
Natural proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandomnumber generators do not exist. This famous result is ...
Alexander A. Razborov, Steven Rudich
129
Voted
PODS
2012
ACM
276views Database» more  PODS 2012»
13 years 2 months ago
Randomized algorithms for tracking distributed count, frequencies, and ranks
We show that randomization can lead to significant improvements for a few fundamental problems in distributed tracking. Our basis is the count-tracking problem, where there are k...
Zengfeng Huang, Ke Yi, Qin Zhang
FOCS
2008
IEEE
15 years 7 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow