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CADE
2005
Springer
16 years 6 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
16 years 6 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
16 years 6 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
STOC
2006
ACM
174views Algorithms» more  STOC 2006»
16 years 6 months ago
Edge-disjoint paths in Planar graphs with constant congestion
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
STOC
2004
ACM
158views Algorithms» more  STOC 2004»
16 years 6 months ago
Collective asynchronous reading with polylogarithmic worst-case overhead
The Collect problem for an asynchronous shared-memory system has the objective for the processors to learn all values of a collection of shared registers, while minimizing the tot...
Bogdan S. Chlebus, Dariusz R. Kowalski, Alexander ...