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Algebraic Model Counting
Department of Computer Science, KU Leuven, Heverlee, Belgium.
Department of Computer Science, KU Leuven, Heverlee, Belgium.
Department of Computer Science, KU Leuven, Heverlee, Belgium.ORCID iD: 0000-0002-6860-6303
2017 (English)In: Journal of Applied Logic, ISSN 1570-8683, E-ISSN 1570-8691, Vol. 22, p. 46-62Article in journal (Refereed) Published
Abstract [en]

Weighted model counting (WMC) is a well-known inference task onknowledge bases, used for probabilistic inference in graphical models. Weintroduce algebraic model counting (AMC), a generalization of WMC toa semiring structure. We show that AMC generalizes many well-knowntasks in a variety of domains such as probabilistic inference, soft con-straints and network and database analysis. Furthermore, we investigateAMC from a knowledge compilation perspective and show that all AMCtasks can be evaluated usingsd-DNNFcircuits. We identify further char-acteristics of AMC instances that allow for the use of even more succinct circuits.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 22, p. 46-62
Keywords [en]
Knowledge compilation, Model counting, Logic
National Category
Mechanical Engineering Bioinformatics (Computational Biology)
Identifiers
URN: urn:nbn:se:oru:diva-84441DOI: 10.1016/j.jal.2016.11.031ISI: 000402354400005Scopus ID: 2-s2.0-85007227134OAI: oai:DiVA.org:oru-84441DiVA, id: diva2:1452607
Available from: 2020-07-07 Created: 2020-07-07 Last updated: 2020-08-21Bibliographically approved

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De Raedt, Luc

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