Compactly generating all satisfying truth assignments of a horn formula

Date
2012-01
Authors
Wild, Marcel
Journal Title
Journal ISSN
Volume Title
Publisher
Delft University in cooperation with IOS Press
Abstract
ENGLISH ABSTRACT: While it was known that all models of a Horn formula can be generated in outputpolynomial time, here we present an explicit algorithm as opposed to the rather vague oracle-scheme suggested in the proof of [6, Thm.4]. It is an instance of some principle of exclusion that compactly (thus not one by one) generates all models of certain Boolean formulae given in CNF. The principle of exclusion can be adapted to generate only the models of weight k. We compare and contrast it with constraint programming, 0; 1 integer programming, and binary decision diagrams.
Description
Original article available at http://jsat.ewi.tudelft.nl/
Keywords
Horn formula, Mathematics, Algorithms, Output-polynomial algorithm, Fixed-cardinality models
Citation
Wild, M. 2012. Compactly generating all satisfying truth assignments of a horn formula. Journal on Satis ability, Boolean Modeling and Computation 8, 63-82.