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» Hardness amplification within NP
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FOCS
1998
IEEE
13 years 9 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
FAST
2008
13 years 7 months ago
Portably Solving File TOCTTOU Races with Hardness Amplification
The file-system API of contemporary systems makes programs vulnerable to TOCTTOU (time of check to time of use) race conditions. Existing solutions either help users to detect the...
Dan Tsafrir, Tomer Hertz, David Wagner, Dilma Da S...
FSTTCS
2006
Springer
13 years 9 months ago
Some Results on Average-Case Hardness Within the Polynomial Hierarchy
Abstract. We prove several results about the average-case complexity of problems in the Polynomial Hierarchy (PH). We give a connection among average-case, worst-case, and non-unif...
Aduri Pavan, Rahul Santhanam, N. V. Vinodchandran
FOCS
2008
IEEE
13 years 11 months ago
Hardness of Minimizing and Learning DNF Expressions
We study the problem of finding the minimum size DNF formula for a function f : {0, 1}d → {0, 1} given its truth table. We show that unless NP ⊆ DTIME(npoly(log n) ), there i...
Subhash Khot, Rishi Saket
APPROX
2007
Springer
102views Algorithms» more  APPROX 2007»
13 years 11 months ago
Hardness of Embedding Metric Spaces of Equal Size
Abstract. We study the problem embedding an n-point metric space into another n-point metric space while minimizing distortion. We show that there is no polynomial time algorithm t...
Subhash Khot, Rishi Saket