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Tableaux, Path Dissolution, and Decomposable Negation Normal Form for Knowledge Compilation

  • Conference paper
Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2796))

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Abstract

Decomposable negation normal form (DNNF) was developed primarily for knowledge compilation. Formulas in DNNF are linkless, in negation normal form (NNF), and have the property that atoms are not shared across conjunctions. Full dissolvents are linkless NNF formulas that do not in general have the latter property. However, many of the applications of DNNF can be obtained with full dissolvents. Two additional methods — regular tableaux and semantic factoring — are shown to produce equivalent DNNF. A class of formulae is presented on which earlier DNNF conversion techniques are necessarily exponential; path dissolution and semantic factoring handle these formulae in linear time.

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Author information

Authors and Affiliations

  1. Department of Computer Science, State University of New York, Albany, NY, 12222, USA

    Neil V. Murray

  2. Department of Mathematics, University of New Haven, West Haven, CT, 06516, USA

    Erik Rosenthal

Authors
  1. Neil V. Murray
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  2. Erik Rosenthal
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Editor information

Editors and Affiliations

  1. Dipartimento di Informatica e Automazione, Università di Roma Tre, via Vasca Navale 79, 00146, Roma, Italia

    Marta Cialdea Mayer

  2. Dipartimento di Informatica e Sistemistica (DIS), Sapienza, University of Rome “Sapienza”, via Ariosto 25, 00185, Roma

    Fiora Pirri

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Murray, N.V., Rosenthal, E. (2003). Tableaux, Path Dissolution, and Decomposable Negation Normal Form for Knowledge Compilation. In: Cialdea Mayer, M., Pirri, F. (eds) Automated Reasoning with Analytic Tableaux and Related Methods . TABLEAUX 2003. Lecture Notes in Computer Science(), vol 2796. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45206-5_14

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  • DOI: https://doi.org/10.1007/978-3-540-45206-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40787-4

  • Online ISBN: 978-3-540-45206-5

  • eBook Packages: Springer Book Archive

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