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» Towards Robust CNF Encodings of Cardinality Constraints
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CP
2007
Springer
13 years 11 months ago
Towards Robust CNF Encodings of Cardinality Constraints
Motivated by the performance improvements made to SAT solvers in recent years, a number of different encodings of constraints into SAT have been proposed. Concrete examples are th...
João P. Marques Silva, Inês Lynce
CP
2005
Springer
13 years 10 months ago
Towards an Optimal CNF Encoding of Boolean Cardinality Constraints
We consider the problem of encoding Boolean cardinality constraints in conjunctive normal form (CNF). Boolean cardinality constraints are formulae expressing that at most (resp. at...
Carsten Sinz
SAT
2004
Springer
115views Hardware» more  SAT 2004»
13 years 10 months ago
Full CNF Encoding: The Counting Constraints Case
Abstract. Many problems are naturally expressed using CNF clauses and boolean cardinality constraints. It is generally believed that solving such problems through pure CNF encoding...
Olivier Bailleux, Yacine Boufkhad
JSAT
2006
92views more  JSAT 2006»
13 years 4 months ago
A Translation of Pseudo Boolean Constraints to SAT
This paper introduces a new CNF encoding of pseudo-Boolean constraints, which allows unit propagation to maintain generalized arc consistency. In the worst case, the size of the p...
Olivier Bailleux, Yacine Boufkhad, Olivier Roussel
CONSTRAINTS
2011
12 years 11 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...