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CORR
2008
Springer
127views Education» more  CORR 2008»
13 years 10 months ago
Branching proofs of infeasibility in low density subset sum problems
We prove that the subset sum problem ax = x {0, 1}n (SUB) has a polynomial time computable certificate of infeasibility for all a with density at most 1/(2n), and for almost all ...
Gábor Pataki, Mustafa Tural
TYPES
2000
Springer
14 years 1 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
CSL
2001
Springer
14 years 2 months ago
A Logic for Approximate First-Order Reasoning
Abstract. In classical approaches to knowledge representation, reasoners are assumed to derive all the logical consequences of their knowledge base. As a result, reasoning in the ...
Frédéric Koriche
GECCO
2007
Springer
192views Optimization» more  GECCO 2007»
14 years 4 months ago
Convergence of stochastic search algorithms to gap-free pareto front approximations
Recently, a convergence proof of stochastic search algorithms toward finite size Pareto set approximations of continuous multi-objective optimization problems has been given. The...
Oliver Schütze, Marco Laumanns, Emilia Tantar...
LICS
2002
IEEE
14 years 3 months ago
Little Engines of Proof
The automated construction of mathematical proof is a basic activity in computing. Since the dawn of the field of automated reasoning, there have been two divergent schools of tho...
Natarajan Shankar