Romain Wallon

Université d'Artois · CRIL Centre de Recherche en Informatique de Lens

When developing a SAT solver, one of the most important parts is to perform experiments so as to evaluate its performance. Most of the time, this process remains the same, so that everybody collects almost the same statistics about the solver execution. However, how many scripts are there to retrieve experimental data and draw scatter or cactus plo...

Current implementations of pseudo-Boolean (PB) solvers working on native PB constraints are based on the CDCL architecture which empowers highly efficient modern SAT solvers. In particular, such PB solvers not only implement a (cutting-planes-based) conflict analysis procedure, but also complementary strategies for components that are crucial for t...

Current pseudo-Boolean solvers implement different variants of the cutting planes proof system to infer new constraints during conflict analysis. One of these variants is generalized resolution, which allows to infer strong constraints, but suffers from the growth of coefficients it generates while combining pseudo-Boolean constraints. Another vari...

Learning pseudo-Boolean (PB) constraints in PB solvers exploiting cutting planes based inference is not as well understood as clause learning in conflict-driven clause learning solvers. In this paper, we show that PB constraints derived using cutting planes may contain irrelevant literals, i.e., literals whose assigned values (whatever they are) ne...

Current PB solvers implement many techniques inspired by the CDCL architecture of modern SAT solvers, so as to benefit from its practical efficiency. However, they also need to deal with the fact that many of the properties leveraged by this architecture are no longer true when considering PB constraints. In this paper, we focus on one of these pro...

Current implementations of pseudo-Boolean (PB) solvers working on native PB constraints are based on the CDCL architecture which empowers highly efficient modern SAT solvers. In particular, such PB solvers not only implement a (cutting-planes-based) conflict analysis procedure, but also complementary strategies for components that are crucial for t...

Les solveurs pseudo-booléens (PB) travaillant nativement sur des contraintes PB sont fondés sur l’architecture CDCL à l’origine des hautes performances des solveurs SAT modernes. En particulier, ces solveurs PB utilisent non seulement une procédure d’analyse de conflits (utilisant les plans-coupes), mais également des stratégies complémentaires qui...

Le développement de solveurs de contraintes s’accompagne nécessairement d’une phase d’expérimentation, permettant d’évaluer les performances des fonctionnalités implantées. Pour chacun des solveurs considérés, il faut alors collecter et analyser des statistiques relatives à leur exécution et qui, le plus souvent, restent les mêmes. Néanmoins, il ex...

Current pseudo-Boolean solvers implement different variants of the cutting planes proof system to infer new constraints during conflict analysis. One of these variants is generalized resolution, which allows to infer strong constraints, but suffers from the growth of coefficients it generates while combining pseudo-Boolean constraints. Another vari...

Current implementations of pseudo-Boolean (PB) solvers are based on the CDCL architecture , which is the central component of modern SAT solvers. In addition to clause learning, this architecture comes with many strategies that help the solver find its way through the search space, either to a solution or to an unsatisfiability proof. Particularly...

We consider bounded width CNF-formulas where the width is measured by popular graph width measures on graphs associated to CNF-formulas. Such restricted graph classes, in particular those of bounded treewidth, have been extensively studied for their uses in the design of algorithms for various computational problems on CNF-formulas. Here we conside...

We consider bounded width CNF-formulas where the width is measured by popular graph width measures on graphs associated to CNF-formulas. Such restricted graph classes, in particular those of bounded treewidth, have been extensively studied for their uses in the design of algorithms for various computational problems on CNF-formulas. Here we conside...

We consider bounded width CNF-formulas where the width is measured by popular graph width measures on graphs associated to CNF-formulas. Such restricted graph classes, in particular those of bounded treewidth, have been extensively studied for their uses in the design of algorithms for various computational problems on CNF-formulas. Here we conside...

Learning pseudo-Boolean (PB) constraints in PB solvers using the cutting planes proof system is a problem that is not as well understood as clause learning in conflict driven clause learning solvers. In particular, it turns out that approaches based on generalized resolution may derive PB constraints containing irrelevant literals, i.e. literals wh...

L'apprentissage de contraintes pseudo-booléennes (PB) dans les solveurs PB via le système de preuve des plans-coupes n'est pas aussi bien compris que celui des clauses dans les solveurs SAT utilisant l'analyse de conflit. En particulier, les approches basées sur la résolution généralisée peuvent déduire des contraintes PB comportant des littéraux n...

We study pseudo-Boolean constraints (PBC) and their special case cardinality constraints (CARD) from the perspective of knowledge representation. To this end, the succinctness of PBC and CARD is compared to that of many standard propositional languages. Moreover, we determine which queries and transformations are feasible in polynomial time when kn...

Learning pseudo-Boolean (PB) constraints in PB solvers exploiting cutting planes based inference is not as well understood as clause learning in conflict-driven clause learning solvers. In this paper, we show that PB constraints derived using cutting planes may contain irrelevant literals, i.e., literals whose assigned values (whatever they are) ne...