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COCO
2008
Springer
95views Algorithms» more  COCO 2008»
13 years 9 months ago
Hardness Amplification within NP against Deterministic Algorithms
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant
Parikshit Gopalan, Venkatesan Guruswami
DLT
2009
13 years 5 months ago
On the Complexity of Deciding Avoidability of Sets of Partial Words
Blanchet-Sadri et al. have shown that Avoidability, or the problem of deciding the avoidability of a finite set of partial words over an alphabet of size k 2, is NP-hard [Theoret...
Brandon Blakeley, Francine Blanchet-Sadri, Josh Gu...
IWPEC
2004
Springer
14 years 1 months ago
On Decidability of MSO Theories of Representable Matroids
We show that, for every finite field   , the class of all   representable matroids of branch-width at most a constant t has a decidable MSO theory. In the other direction, we p...
Petr Hlinený, Detlef Seese
ITA
2008
137views Communications» more  ITA 2008»
13 years 8 months ago
Weakly maximal decidable structures
We prove that there exists a structure M whose monadic second order theory is decidable, and such that the elementary theory of every expansion of M by a constant is undecidable. 1...
Alexis Bès, Patrick Cégielski
FOCS
1998
IEEE
14 years 6 days ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio