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COCO
2008
Springer
95views Algorithms» more  COCO 2008»
15 years 1 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
14 years 9 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
15 years 5 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»
14 years 11 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
15 years 4 months 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