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» Proof Verification and Hardness of Approximation Problems
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FOCS
1992
IEEE
13 years 9 months ago
Proof Verification and Hardness of Approximation Problems
The class PCP(f(n), g(n)) consists of all languages L for which there exists a polynomial-time probabilistic oracle machine that uses O(f(n)) random bits, queries O(g(n)) bits of ...
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu...
AIPS
2006
13 years 7 months ago
Structure and Problem Hardness: Goal Asymmetry and DPLL Proofs in SAT-Based Planning
In AI Planning, as well as Verification, a successful method is to compile the application into boolean satisfiability (SAT), and solve it with state-of-the-art DPLL-based procedu...
Jörg Hoffmann, Carla P. Gomes, Bart Selman
FOCS
1998
IEEE
13 years 10 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
FOCS
2002
IEEE
13 years 11 months ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
FOCS
1999
IEEE
13 years 10 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan