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Nucleus-Satellites Systems of OMDDs for Reducing the Size of Compiled Forms

Authors Hélène Fargier, Jérôme Mengin, Nicolas Schmidt

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Author Details

Hélène Fargier
  • IRIT, Université de Toulouse, CNRS, Toulouse INP, UT3, France
Jérôme Mengin
  • IRIT, Université de Toulouse, CNRS, Toulouse INP, UT3, France
Nicolas Schmidt
  • IRIT, Université de Toulouse, CNRS, Toulouse INP, UT3, France

Funding

The authors gratefully acknowledge the support of the Artificial and Natural Intelligence Toulouse Institute - ANITI. ANITI is funded by the French ”Investing for the Future - PIA3” program under grant agreement ANR-19-PI3A-0004.

Acknowledgements

We thank anonymous reviewers for the CPAIOR and CP conferences for their numerous comments and suggestions that helped improve the paper.

Cite AsGet BibTex

Hélène Fargier, Jérôme Mengin, and Nicolas Schmidt. Nucleus-Satellites Systems of OMDDs for Reducing the Size of Compiled Forms. In 28th International Conference on Principles and Practice of Constraint Programming (CP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 235, pp. 23:1-23:18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.CP.2022.23

Abstract

In order to reduce the size of compiled forms in knowledge compilation, we propose a new approach based on a splitting of the main representation into a nucleus representation and satellite representations. Nucleus representation is the projection of the original representation onto the "main" variables and satellite representations define the other variables according to the nucleus. We propose a language and a method, aimed at OBDD/OMDD representations, to compile into this split form. Our experimental study shows major size reductions on configuration- and diagnosis- oriented benchmarks.

Subject Classification

ACM Subject Classification
  • Theory of computation → Design and analysis of algorithms
  • Theory of computation → Constraint and logic programming
Keywords
  • Knowledge representation
  • knowledge compilation
  • ordered multivalued decision diagram

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