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A Top Down Interpreter for LPAD and CP-Logic

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Book cover AI*IA 2007: Artificial Intelligence and Human-Oriented Computing (AI*IA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4733))

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Abstract

Logic Programs with Annotated Disjunctions and CP-logic are two different but related languages for expressing probabilistic information in logic programming. The paper presents a top down interpreter for computing the probability of a query from a program in one of these two languages. The algorithm is based on the one available for ProbLog. The performances of the algorithm are compared with those of a Bayesian reasoner and with those of the ProbLog interpreter. On programs that have a small grounding, the Bayesian reasoner is more scalable, but programs with a large grounding require the top down interpreter. The comparison with ProbLog shows that the added expressiveness effectively requires more computation resources.

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References

  1. Apt, K.R., Bol, R.N.: Logic programming and negation: A survey. J. Log. Program 19/20, 9–71 (1994)

    Article  MathSciNet  Google Scholar 

  2. Bryant, R.E.: Graph-based algorithms for boolean function manipulation. IEEE Trans. on Computers 35(8), 677–691 (1986)

    Article  MATH  Google Scholar 

  3. Clark, K.L.: Negation as failure. In: Logic and Databases, Plenum Press, New York (1978)

    Google Scholar 

  4. De Raedt, L., Kimmig, A., Toivonen, H.: Problog: A probabilistic prolog and its application in link discovery. In: Proceedings of the 20th International Joint Conference on Artificial Intelligence, pp. 2462–2467 (2007)

    Google Scholar 

  5. Lauritzen, S., Spiegelhalter, D.J.: Local computations with probabilities on graphical structures and their application to expert systems. Journal of the Royal Statistical Society, B 50(2), 157–224 (1988)

    MATH  MathSciNet  Google Scholar 

  6. Miller, D.M., Drechsler, R.: On the construction of multiple-valued decision diagrams. In: Proceedings 32nd IEEE International Symposium on Multiple-Valued Logic, pp. 245–253. IEEE Computer Society Press, Los Alamitos (2002)

    Chapter  Google Scholar 

  7. Van Gelder, A., Ross, K.A., Schlipf, J.S.: The well-founded semantics for general logic programs. Journal of the ACM 38(3), 620–650 (1991)

    Article  MATH  Google Scholar 

  8. Vennekens, J., Denecker, M., Bruynooghe, M.: Representing causal information about a probabilistic process. In: Fisher, M., van der Hoek, W., Konev, B., Lisitsa, A. (eds.) JELIA 2006. LNCS (LNAI), vol. 4160, Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  9. Vennekens, J., Verbaeten, S., Bruynooghe, M.: Logic programs with annotated disjunctions. In: Demoen, B., Lifschitz, V. (eds.) ICLP 2004. LNCS, vol. 3132, Springer, Heidelberg (2004)

    Google Scholar 

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Roberto Basili Maria Teresa Pazienza

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© 2007 Springer-Verlag Berlin Heidelberg

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Riguzzi, F. (2007). A Top Down Interpreter for LPAD and CP-Logic. In: Basili, R., Pazienza, M.T. (eds) AI*IA 2007: Artificial Intelligence and Human-Oriented Computing. AI*IA 2007. Lecture Notes in Computer Science(), vol 4733. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74782-6_11

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  • DOI: https://doi.org/10.1007/978-3-540-74782-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74781-9

  • Online ISBN: 978-3-540-74782-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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