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» Counting CSP Solutions Using Generalized XOR Constraints
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AAAI
2007
13 years 10 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»
14 years 1 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 9 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 8 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 9 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...