A Constraint Solver based on Abstract Domains

Marie Pelleau 1 Antoine Miné 2, 3 Charlotte Truchet 1 Frédéric Benhamou 4
1 TASC
LINA - Laboratoire d'Informatique de Nantes Atlantique
3 Abstraction
LIENS - Laboratoire d'informatique de l'école normale supérieure
Abstract : In this article, we apply techniques from Abstract Interpretation (a general theory of semantic abstractions) to Constraint Programming (which aims at solving hard combinatorial problems with a generic framework based on first-order logics). We highlight some links and differences between these fields: both compute fixpoints by iteration but employ different extrapolation and refinement strategies; moreover, consistencies in Constraint Programming can be mapped to non-relational abstract domains. We then use these correspondences to build an abstract constraint solver that leverages abstract interpretation techniques (such as relational domains) to go beyond classic solvers. We present encouraging experimental results obtained with our prototype implementation.
Document type :
Conference papers
Roberto Giacobazzi and Josh Berdine and Isabella Mastroeni. VMCAI 2013 - 14th International Conference on Verification, Model Checking, and Abstract Interpretation, Jan 2013, Rome, Italy. Springer-Verlag, 7737, pp.434--454, Lecture Notes in Computer Science. <10.1007/978-3-642-35873-9_26>


https://hal.archives-ouvertes.fr/hal-00785604
Contributor : Marie Pelleau <>
Submitted on : Wednesday, February 6, 2013 - 3:00:04 PM
Last modification on : Thursday, February 12, 2015 - 1:16:33 AM

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Marie Pelleau, Antoine Miné, Charlotte Truchet, Frédéric Benhamou. A Constraint Solver based on Abstract Domains. Roberto Giacobazzi and Josh Berdine and Isabella Mastroeni. VMCAI 2013 - 14th International Conference on Verification, Model Checking, and Abstract Interpretation, Jan 2013, Rome, Italy. Springer-Verlag, 7737, pp.434--454, Lecture Notes in Computer Science. <10.1007/978-3-642-35873-9_26>. <hal-00785604>

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