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CP
2005
Springer
14 years 26 days 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»
14 years 21 days 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
CP
2007
Springer
14 years 1 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
JSAT
2006
92views more  JSAT 2006»
13 years 7 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
VLSID
2007
IEEE
153views VLSI» more  VLSID 2007»
14 years 7 months ago
Extracting Logic Circuit Structure from Conjunctive Normal Form Descriptions
Boolean Satisfiability is seeing increasing use as a decision procedure in Electronic Design Automation (EDA) and other domains. Most applications encode their domain specific cons...
Zhaohui Fu, Sharad Malik