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CJTCS
1999
133views more  CJTCS 1999»
13 years 7 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender
FM
2008
Springer
148views Formal Methods» more  FM 2008»
13 years 9 months ago
Precise Interval Analysis vs. Parity Games
In [?], a practical algorithm for precise interval analysis is provided for which, however, no non-trivial upper complexity bound is known. Here, we present a lower bound by showin...
Thomas Gawlitza, Helmut Seidl
IJCAI
2003
13 years 9 months ago
Automated Reasoning: Past Story and New Trends
We overview the development of first-order automated reasoning systems starting from their early years. Based on the analysis of current and potential applications of such systems...
Andrei Voronkov
APPROX
2007
Springer
104views Algorithms» more  APPROX 2007»
14 years 1 months ago
Worst-Case to Average-Case Reductions Revisited
Abstract. A fundamental goal of computational complexity (and foundations of cryptography) is to find a polynomial-time samplable distribution (e.g., the uniform distribution) and...
Dan Gutfreund, Amnon Ta-Shma
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 7 months ago
On the Difficulty of Designing Good Classifiers
We consider the problem of designing a near-optimal linear decision tree to classify two given point sets B and W in n. A linear decision tree de nes a polyhedral subdivision of sp...
Michelangelo Grigni, Vincent Mirelli, Christos H. ...