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» Proof Verification and Hardness of Approximation Problems
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COMPGEOM
2004
ACM
15 years 9 months ago
Continuous path verification in multi-axis NC-machining
We introduce a new approach to the problem of collision detection between a rotating milling-cutter of an NC-machine and a model of a solid workpiece, as the rotating cutter conti...
Ron Wein, Oleg Ilushin, Gershon Elber, Dan Halperi...
177
Voted
CALC
2001
Springer
171views Cryptology» more  CALC 2001»
15 years 10 months ago
Approximate Integer Common Divisors
We show that recent results of Coppersmith, Boneh, Durfee and Howgrave-Graham actually apply in the more general setting of (partially) approximate common divisors. This leads us t...
Nick Howgrave-Graham
DAC
2007
ACM
16 years 6 months ago
An Effective Guidance Strategy for Abstraction-Guided Simulation
tive Guidance Strategy for Abstraction-Guided Simulation Flavio M. De Paula Alan J. Hu Department of Computer Science, University of British Columbia, {depaulfm, ajh}@cs.ubc.ca D...
Flavio M. de Paula, Alan J. Hu
IACR
2011
141views more  IACR 2011»
14 years 5 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger
SIAMCOMP
2000
88views more  SIAMCOMP 2000»
15 years 5 months ago
Gadgets, Approximation, and Linear Programming
We present a linear programming-based method for nding \gadgets", i.e., combinatorial structures reducing constraints of one optimization problem to constraints of another. A...
Luca Trevisan, Gregory B. Sorkin, Madhu Sudan, Dav...