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SAT
2009
Springer
124views Hardware» more  SAT 2009»
15 years 6 months ago
Cardinality Networks and Their Applications
We introduce Cardinality Networks, a new CNF encoding of cardinality constraints. It improves upon the previously existing encodings such as the sorting networks of [ES06] in that ...
Roberto Asín, Robert Nieuwenhuis, Albert Ol...
161
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CONSTRAINTS
2011
14 years 6 months ago
Cardinality Networks: a theoretical and empirical study
We introduce Cardinality Networks, a new CNF encoding of cardinality constraints. It improves upon the previously existing encodings such as the sorting networks of [8] in that it ...
Roberto Asín, Robert Nieuwenhuis, Albert Ol...
IPPS
2007
IEEE
15 years 6 months ago
A Grid-enabled Branch and Bound Algorithm for Solving Challenging Combinatorial Optimization Problems
Solving optimally large instances of combinatorial optimization problems requires a huge amount of computational resources. In this paper, we propose an adaptation of the parallel...
Mohand-Said Mezmaz, Nouredine Melab, El-Ghazali Ta...
ENTCS
2006
125views more  ENTCS 2006»
14 years 12 months ago
Formalizing Type Operations Using the "Image" Type Constructor
In this paper we introduce a new approach to formalizing certain type operations in type theory. Traditionally, many type constructors in type theory are independently axiomatized...
Aleksey Nogin, Alexei Kopylov
MP
2007
91views more  MP 2007»
14 years 11 months ago
Set Intersection Theorems and Existence of Optimal Solutions
The question of nonemptiness of the intersection of a nested sequence of closed sets is fundamental in a number of important optimization topics, including the existence of optima...
Dimitri P. Bertsekas, Paul Tseng