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» Counting CSP Solutions Using Generalized XOR Constraints
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AAAI
2007
13 years 6 months ago
Counting CSP Solutions Using Generalized XOR Constraints
We present a general framework for determining the number of solutions of constraint satisfaction problems (CSPs) with a high precision. Our first strategy uses additional binary...
Carla P. Gomes, Willem Jan van Hoeve, Ashish Sabha...
SAT
2007
Springer
81views Hardware» more  SAT 2007»
13 years 10 months ago
Short XORs for Model Counting: From Theory to Practice
Abstract. A promising approach for model counting was recently introduced, which in theory requires the use of large random xor or parity constraints to obtain near-exact counts of...
Carla P. Gomes, Jörg Hoffmann, Ashish Sabharw...
AAAI
2006
13 years 5 months ago
Model Counting: A New Strategy for Obtaining Good Bounds
Model counting is the classical problem of computing the number of solutions of a given propositional formula. It vastly generalizes the NP-complete problem of propositional satis...
Carla P. Gomes, Ashish Sabharwal, Bart Selman
CP
2009
Springer
14 years 5 months ago
Exploiting Problem Structure for Solution Counting
This paper deals with the challenging problem of counting the number of solutions of a CSP, denoted #CSP. Recent progress have been made using search methods, such as BTD [15], whi...
Aurélie Favier, Philippe Jégou, Simo...
AAAI
1997
13 years 5 months ago
Bayes Networks for Estimating the Number of Solutions to a CSP
The problem of counting the number of solutions to a constraint satisfaction problem (CSP) is rephrased in terms of probability updating in Bayes networks. Approximating the proba...
Amnon Meisels, Solomon Eyal Shimony, Gadi Solotore...