Tractable QBF by Knowledge Compilation

Capelli, Florent; Mengel, Stefan

Document type :

Communication dans un congrès avec actes

Title :

Tractable QBF by Knowledge Compilation

Author(s) :

Capelli, Florent [Auteur]
Linking Dynamic Data [LINKS]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Mengel, Stefan [Auteur]
Centre de Recherche en Informatique de Lens [CRIL]

Conference title :

36th International Symposium on Theoretical Aspects of Computer Science (STACS 2019)

City :

Berlin

Country :

Allemagne

Start date of the conference :

2019-03-13

HAL domain(s) :

Informatique [cs]/Complexité [cs.CC]

English abstract : [en]

We generalize many results concerning the tractability of SAT and #SAT on bounded treewidth CNF-formula in the context of Quantified Boolean Formulas (QBF). To this end, we start by studying the notion of width for OBDD ...
Show more >We generalize many results concerning the tractability of SAT and #SAT on bounded treewidth CNF-formula in the context of Quantified Boolean Formulas (QBF). To this end, we start by studying the notion of width for OBDD and observe that the blow up in size while existentially or universally projecting a block of variables in an OBDD only affects its width. We then generalize this notion of width to the more general representation of structured (deterministic) DNNF and give a similar algorithm to existentially or universally project a block of variables. Using a well-known algorithm transforming bounded treewidth CNF formula into deterministic DNNF, we are able to generalize this connection to quantified CNF which gives us as a byproduct that one can count the number of models of a bounded treewidth and bounded quantifier alternation quantified CNF in FPT time. We also give an extensive study of bounded width d-DNNF and proves the optimality of several of our results.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

Files

http://arxiv.org/pdf/1807.04263
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Tractable QBF by Knowledge Compilation

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