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CORR
2008
Springer
127views Education» more  CORR 2008»
15 years 1 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
15 years 5 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
15 years 6 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»
15 years 8 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
15 years 6 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