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Disjunctive closures for knowledge compilation

Fargier, Hélène and Marquis, Pierre Disjunctive closures for knowledge compilation. (2014) Artificial Intelligence, 216 (Nov. 2014). 129-162. ISSN 0004-3702

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Official URL: https://doi.org/10.1016/j.artint.2014.07.004

Abstract

The knowledge compilation (KC) map [1] can be viewed as a multi-criteria evaluation of a number of target classes of representations for propositional KC. Using this map, the choice of a class for a given application can be made, considering both the space efficiency of it (i.e., its ability to represent information using little space), and its time efficiency, i.e., the queries and transformations which can be achieved in polynomial time, among those of interest for the application under consideration. When no class of propositional representations offers all the transformations one would expect, some of them can be left implicit. This is the key idea underlying the concept of closure introduced here: instead of performing computationally expensive transformations, one just remembers that they have to be done. In this paper, we investigate the disjunctive closure principles, i.e., disjunction, existential quantification, and their combinations. We provide several characterization results concerning the corresponding closures. We also extend the KC map with new propositional languages obtained as disjunctive closures of several incomplete propositional languages, including the well-known KROM (the CNF formulae containing only binary clauses), HORN (the CNF formulae containing only Horn clauses), and AFF (the affine language, which is the set of conjunctions of XOR-clauses). Each introduced language is evaluated along the lines of the KC map.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Artificial Intelligence (ISSN: 0004-3702) website : http://www.sciencedirect.com/science/article/pii/S0004370214000873
HAL Id:hal-01558467
Audience (journal):International peer-reviewed journal
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Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université d'Artois (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:09 Jun 2017 13:05

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