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DLV MC: Enhanced Model Checking in DLV

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Logics in Artificial Intelligence (JELIA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6341))

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Abstract

Stable Model Checking (MC) in Answer Set Programming systems is, in general, a co-NP task for disjunctive programs. Thus, implementing an efficient strategy is very important for the performance of ASP systems. In DLV, MC is carried out by exploiting the SAT solver SATZ, and the result of this operation also returns (in case the check fails) an ”unfounded set”, as by-product, which is also used for pruning the search space during answer set computation.

In this paper we report on the integration of a “modern” SAT solver, MiniSAT, in DLV. The integration poses not only technological issues, but also challenges w.r.t. the ”quality” of the returned unfounded set and w.r.t. the interplay with the existing DLV techniques.

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References

  1. Gelfond, M., Lifschitz, V.: The Stable Model Semantics for Logic Programming. In: ICLP/SLP 1988, pp. 1070–1080. MIT Press, Cambridge (1988)

    Google Scholar 

  2. Gelfond, M., Lifschitz, V.: Classical Negation in Logic Programs and Disjunctive Databases. NGC 9, 365–385 (1991)

    Article  MATH  Google Scholar 

  3. Baral, C.: Knowledge Representation, Reasoning and Declarative Problem Solving. CUP (2003)

    Google Scholar 

  4. Lifschitz, V.: Action Languages, Answer Sets and Planning. In: The Logic Programming Paradigm – A 25-Year Perspective, pp. 357–373 (1999)

    Google Scholar 

  5. Leone, N., Pfeifer, G., Faber, W., Eiter, T., Gottlob, G., Perri, S., Scarcello, F.: The DLV System for Knowledge Representation and Reasoning. ACM TOCL 7(3), 499–562 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Janhunen, T., Niemelä, I., Seipel, D., Simons, P., You, J.H.: Unfolding Partiality and Disjunctions in Stable Model Semantics. ACM TOCL 7(1), 1–37 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  7. Lierler, Y.: Disjunctive Answer Set Programming via Satisfiability. In: Baral, C., Greco, G., Leone, N., Terracina, G. (eds.) LPNMR 2005. LNCS (LNAI), vol. 3662, pp. 447–451. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  8. Gebser, M., Kaufmann, B., Neumann, A., Schaub, T.: Conflict-driven answer set solving. In: IJCAI 2007, pp. 386–392 (2007)

    Google Scholar 

  9. Davis, M., Logemann, G., Loveland, D.: A Machine Program for Theorem Proving. Communications of the ACM 5, 394–397 (1962)

    Article  MathSciNet  MATH  Google Scholar 

  10. Ben-Eliyahu, R., Dechter, R.: Propositional Semantics for Disjunctive Logic Programs. AMAI 12, 53–87 (1994)

    MathSciNet  MATH  Google Scholar 

  11. Koch, C., Leone, N., Pfeifer, G.: Enhancing Disjunctive Logic Programming Systems by SAT Checkers. AI 15(1-2), 177–212 (2003)

    MathSciNet  MATH  Google Scholar 

  12. Leone, N., Rullo, P., Scarcello, F.: Disjunctive Stable Models: Unfounded Sets, Fixpoint Semantics and Computation. Inf.Comp. 135(2), 69–112 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  13. Pfeifer, G.: Improving the Model Generation/Checking Interplay to Enhance the Evaluation of Disjunctive Programs. In: Lifschitz, V., Niemelä, I. (eds.) LPNMR 2004. LNCS (LNAI), vol. 2923, pp. 220–233. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  14. Janhunen, T., Niemelä, I., Simons, P., You, J.H.: Partiality and Disjunctions in Stable Model Semantics. In: KR 2000, vol. 12, 15, pp. 411–419 (2000)

    Google Scholar 

  15. Giunchiglia, E., Maratea, M.: Solving optimization problems with DLL. In: Proc. of the 17th European Conference on Artificial Intelligence (ECAI 2006). Frontiers in Artificial Intelligence and Applications, vol. 141, pp. 377–381. IOS Press, Amsterdam (2006)

    Google Scholar 

  16. Järvisalo, M., Junttila, T.A., Niemelä, I.: Unrestricted vs restricted cut in a tableau method for boolean circuits. Annals of Mathemathics and Artificial Intelligence 44(4), 373–399 (2005)

    Article  MathSciNet  MATH  Google Scholar 

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Maratea, M., Ricca, F., Veltri, P. (2010). DLV MC: Enhanced Model Checking in DLV . In: Janhunen, T., Niemelä, I. (eds) Logics in Artificial Intelligence. JELIA 2010. Lecture Notes in Computer Science(), vol 6341. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15675-5_33

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  • DOI: https://doi.org/10.1007/978-3-642-15675-5_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15674-8

  • Online ISBN: 978-3-642-15675-5

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