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ECCC
2007
86views more  ECCC 2007»
13 years 11 months ago
On Parameterized Approximability
Abstract. Combining classical approximability questions with parameterized complexity, we introduce a theory of parameterized approximability. The main intention of this theory is ...
Yijia Chen, Martin Grohe, Magdalena Grüber
ECCC
2007
77views more  ECCC 2007»
13 years 11 months ago
Selected Results in Additive Combinatorics: An Exposition
We give a self-contained exposition of selected results in additive combinatorics over the group GF(2)n = {0, 1}n. In particular, we prove the celebrated theorems known as the Bal...
Emanuele Viola
ECCC
2007
65views more  ECCC 2007»
13 years 11 months ago
Sound 3-query PCPPs are Long
Arie Matsliah, Eli Ben-Sasson, Prahladh Harsha, Od...
ECCC
2007
185views more  ECCC 2007»
13 years 11 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan
ECCC
2007
115views more  ECCC 2007»
13 years 11 months ago
A (De)constructive Approach to Program Checking
Program checking, program self-correcting and program selftesting were pioneered by [Blum and Kannan] and [Blum, Luby and Rubinfeld] in the mid eighties as a new way to gain con...
Shafi Goldwasser, Dan Gutfreund, Alexander Healy, ...
ECCC
2007
89views more  ECCC 2007»
13 years 11 months ago
Lower Bounds for Kernelizations
Yijia Chen, Jörg Flum, Moritz Müller
ECCC
2007
99views more  ECCC 2007»
13 years 11 months ago
An Exponential Time/Space Speedup For Resolution
Satisfiability algorithms have become one of the most practical and successful approaches for solving a variety of real-world problems, including hardware verification, experime...
Philipp Hertel, Toniann Pitassi
ECCC
2007
123views more  ECCC 2007»
13 years 11 months ago
Lossy Trapdoor Functions and Their Applications
We propose a general cryptographic primitive called lossy trapdoor functions (lossy TDFs), and use it to develop new approaches for constructing several important cryptographic to...
Chris Peikert, Brent Waters
ECCC
2007
109views more  ECCC 2007»
13 years 11 months ago
Logic, Graphs, and Algorithms
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
Martin Grohe
ECCC
2007
62views more  ECCC 2007»
13 years 11 months ago
Space Hierarchy Results for Randomized and Other Semantic Models
We prove space hierarchy and separation results for randomized and other semantic models of computation with advice where a machine is only required to behave appropriately when g...
Jeff Kinne, Dieter van Melkebeek