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» Polynomial-time Algorithms from Ineffective Proofs
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2003
IEEE
15 years 4 months ago
Polynomial-time Algorithms from Ineffective Proofs
We present a constructive procedure for extracting polynomial-time realizers from ineffective proofs of Π0 2theorems in feasible analysis. By ineffective proof we mean a proof wh...
Paulo Oliva
STOC
1989
ACM
99views Algorithms» more  STOC 1989»
15 years 3 months ago
A Random Polynomial Time Algorithm for Approximating the Volume of Convex Bodies
We present a randomised polynomial time algorithm for approximating the volume of a convex body K in n-dimensional Euclidean space. The proof of correctness of the algorithm relie...
Martin E. Dyer, Alan M. Frieze, Ravi Kannan
IS
2010
14 years 10 months ago
Extracting a largest redundancy-free XML storage structure from an acyclic hypergraph in polynomial time
Given a hypergraph and a set of embedded functional dependencies, we investigate the problem of determining the conditions under which we can efficiently generate redundancy-free ...
Wai Yin Mok, Joseph Fong, David W. Embley
CSL
2010
Springer
15 years 20 days ago
From Feasible Proofs to Feasible Computations
We shall discuss several situations in which it is possible to extract from a proof, be it a proof in a first-order theory or a propositional proof, some feasible computational inf...
Jan Krajícek
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 3 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek